bulletin of the psychonomic society , ( ), - aesthetic preference and resemblance of viewer's personality to paintings blair alexander and lawrence e. marks yale university and john b. pierce foundation laboratory, new haven, connecticut we investigated the hypothesis that the degree to which a viewer likes a painting is related to the similarity between the attributes the viewer perceives in the painting and the attributes the viewer perceives in his or her own personality. this relation may reveal itself not only in terms of resemblance to the person's image of real self, but also in terms of resemblance to ideal self, the self the person would like to be. to test these hypotheses, subjects ( ) rated how much they liked each of paintings, and ( ) rated the same paintings, their "real" selves, and their "ideal" selves on identical sets of bipolar adjectives. the results showed a clear rela- tion between liking and similarity to ideal self, and a weaker, although also reliable, relation be- tween liking and similarity to real self. individuals differ in their preferences for works of art. the notion that personality characteristics may bear upon these differences in aesthetic preference not only carries some intuitive credibility, but also has received empirical support. several studies (e.g_, burt, ; juhasz & paxson, ; knapp, ; tobacyk, bailey, & myers, ) suggest that individuals with particular personality "types" prefer characteristic genres or sub- ject matters in paintings. several of the relationships demonstrated in these studies appear to be self-referential; that is, subjects seem to like those paintings with charac- teristics that in some way resemble their own person- alities. we will use the expression "self-reference" to refer to the hypothesis that people tend to prefer paint- ings that have qualities similar to those qualities per- ceived in their own personality. although the studies mentioned above either implicitly or explicitly addressed this hypothesis, their design required the experimenter or an expert to define and designate the salient qualities of the paintings and/or personality (e.g_, juhasz & paxson judged cubist works to be "highly controlled"; knapp's subjects were labeled as "dionysian," "pytha- gorean," or "apollonian" personality types). untested was the question whether-or how-the subjects them- selves perceived the qualities of the paintings. we designed the study reported here to investigate the relationship between personality and aesthetic pref- erence without requiring the experimenter to label characteristics of either paintings or personalities. we propose that the extent to which a viewer likes a given painting correlates with the extent to which the painting is seen by the viewer to embody certain qualities this paper is based on a senior essay submitted by the senior author to the department of psychology, yale university; it grew out of earlier work by drew leder, jay stern, and blair alexander. requests for reprints should be addressed to lawrence e. marks, john b. pierce foundation laboratory, congress avenue, new haven, connecticut . that the viewer believes himself or herself to possess: the greater the similarity (implicitly) perceived, the more the painting is liked_ a second possibility exists, one that appears not hitherto investigated: people may tend to judge a paint- ing in regard to "ideal" rather than "real" (actual) self and thus to admire the painting to the extent that it is seen to embody those attributes held as a personal goal. therefore, we propose that the greater the simi- larity between perception of a given painting and the ideal self, the more the painting will be liked. we de- signed this experiment to test directly the role of self- reference in preference for paintings: each subject rated both his/her personality and a set of paintings with respect to descriptive qualities, thus providing a cogni- tively /emotionally immediate measure of similarity (without asking subjects to judge similarity directly) between perceived qualities of paintings and correspond- ing qualities of real and ideal selves. method subjects thirty-two undergraduate students ( women and men) participated as part of a course requirement. in order to avoid any effects of knowledge about the paintings and artists, eligi- bility was restricted to those who had taken no more than one course in art history_ materials twelve color slide reproductions of paintings constituted stimulus materials. they were : a portrait of paul revere by john s. copley ; stoke-by-nayland by john constable; the annunciation by the master of moulins; the bathers by william a. bouguereau; the obelisk by hubert robert; dancing girl by paul klee; genuflexion of the bishop by jean dubuffet; annette. by alberto giacometti; the golden wall by hans hofmann; the waterfall by henri rousseau; in the third sleep by kay sage; and still life; fruits and flowers by juan van der hamen. in choosing the paintings, we attempted to obtain a repre- sentative sample of art from the th to the th centuries, in- copyright psychonomic society, inc. aesthetic preference and personality eluding abstract, "primitive," surreal, and traditional repre- sentative styles, portraiture, and nudes. again, lest knowledge about and familiarity with the paintings and artists affect the judgments, we chose relatively unfamiliar paintings. artists' signatures were removed from the slides, which were projected onto a smooth, white surface. the sizes, brightnesses, and satura- tions of the reproductions were, of course, presumably not identical to those of the originals; the originals were not being rated, however, and we assumed that the subjects were respond- ing to the slide presentations as pieces of art in themselves. the questionnaire on the paintings contained bipolar scales, each scale composed of a pair of words or phrases. one pole (an adjective or phrase) was labeled " ," the other " ." the pairs of adjectives (or adjectival phrases) were culled from lists of personality attributes presented by allport ( ), cattell ( , ), guilford ( ), osgood, suci, and tannenbaum ( ), and thurstone ( , ). we appropri- ated the most frequently appearing personality attributes and avoided those that appeared on few lists or that could not be rendered applicable to both paintings and personality without profound modification. the pairs were: overly self-confident/ under self-confident; easy to comprehend/difficult to compre- hend; aloof/warm; joyous/sad; agitated/placid; inhibited/ume- strained; sentimental/hard; gregarious/solitary; practical/imag- inative; dominating/meek; and childish/mature. in addition to these pairs, another, denoted "little liking/great liking," appeared on the painting questionnaire. for self-rating, the questionnaire was divided according to "real" self ("myself") and "ideal" self ("the person i'd like to be"). this questionnaire contained the same bipolar scales of adjectives, but omitted the pair denoting liking. several differ- ent forms of both questionnaires were used, varying the order of adjectives to minimize sequential biases. procedure the subjects were run in groups of four to seven. they were told that the study concerned individual differences in art preference. the subjects received the painting questionnaire with written instructions to rate, on a scale from - , each painting on each bipolar scale. the experimenter projected the slides one at a time, and the subjects proceeded to rate each painting. once they had finished rating the paintings, the subjects re- ceived the second questionnaire, together with written instruc- tions directing them to use the same procedure to rate their "real" selves and their realistic aspirations for their "ideal" selves. although they had known that they were to rate them- selves in some fashion, only at this moment did the subjects learn that the ratings of self would employ the same adjectives used with the paintings. in order to obtain a measure of reliability, of the subjects returned approximately month later, and the procedure de- scribed above was repeated. eight men and seven women partici- pated in this second session, for which they were paid. order of presentation of the slides was varied from group to group in both sessions. (varying order is critical; lindauer & dintruff, , for example, demonstrated substantial effects of order of presentation on aesthetic preference. they found that subjects reported greater liking for a piece of traditional art if it followed another piece of traditional art. subjects reported less liking for an abstract work if it followed traditional art than if that abstract work followed another abstract work.) within a testing group, we varied the order of adjectives by giving sub- jects different forms of each questionnaire; moreover, for each subject, the order of adjectives differed on the painting question- naire and self-questionnaire within a single run, and on the two separate runs. results to assess the relation between the degree to which the subjects liked the paintings and the similarity of per- ceived self to paintings, we performed correlations sepa- rately for each subject, using data from the paintings he or she had rated. we first calculated correlations between the degree to which the subjects had liked the paintings and the similarity of perceived actual self to the paintings. the former score-liking-was a straight- forward matter, consisting of the subject's rating of the painting on the -point scale. the latter score-simi- larity-was obtained for each adjective by taking the absolute size of the difference between the subject's rating of the painting and the subject's rating of real self. such a measure-of difference or dissimilarity-was then transformed into a measure of similarity by sub- tracting the dissimilarity score from . this inversion was performed as a matter of convenience, so that the predicted correlations would be positive rather than negative. (the absolute sizes of the correlations are not affected by the inverse transformation.) for each paint- ing rated by a given subject, the similarity scores were summed across adjectives and the total score was cor- related with the subject's reported liking for the paint- ing. the correlation was thus calculated using pairs of scores; this process yielded correlations, one for each subject. there proved to be a small, but statistically reliable, relation between the subjects' liking for the paintings and the "perceived" resemblance of paintings to real self [mean r = . , t( ) = . , p = . ]. following the same analytic procedure for ratings of ideal self rather than real self, a highly reliable and stronger relation appeared [mean r = . , t( ) = . , p < . ]. the statistical manipulations used to arrive at these values are based upon a "city block" model, in which overall dissimilarity equals the sum of the absolute sizes of the component differences. similarity can also be measured using a "pythagorean" model, taking the square root of the summed squares of the component differences. correlations between preference and simi- larity based on the "pythagorean" model emerged as somewhat stronger than those of the "city block" model [for real self, mean r = -. , t( ) = . , p = . ; and for ideal self, mean r = -. , t( ) = . , p < . ]. the correlations are negative here because the dissimi- larity scores cannot be inversely transformed as they were in the "city block" model. test-retest reliabilities over the two sessions were respectable [r( ) = . , p < . i, for ratings of liking; r( ) = . , p < . , for real self; and r( ) = . , p < . , for ideal self] . particularly interesting is the reliability of individual correlations between liking of paintings and similarity of paintings to self: with regard to ideal self, individual subjects were consistent [r( ) = . , p < . ]; for real self, however, the (typically small) relationship between liking and sum- larity itself fluctuated considerably more over time [r( ) = . , p :: . ]. discussion the data support the general notion that aesthetic preference alexander and marks is in part self-refcrential, but only, or at least primarily, if refer- ence is to ideal self. in other words, the subjects liked a painting to the extcnt that the painting was seen to share those qualities that constituted the subjects' ideal. however, although the correlations were highly reliable, they were not extraordinarily strong; an average correlation of . accounts for only % of the total variance. the postulated connection between the degree of liking for a painting and its resemblance to real self was supported as well, although the correlation is so small as to be of little predictive value. given that the studies mentioned above have strongly implied such a relationship, it is not clear why similarity to real self did not predict liking very well. in knapp's ( ) study, subjects who preferred abstract expressionist art tended to be uninhibited, emotional, and imaginative ("dionysian"); those most attracted to geometric paintings tended to be restrained, intellectual, and systematic ("pythagorean"); and those who preferred realistic works manifested attributes of practicality and simplicity ("apollonian"). juhasz and paxson ( ) showed that subjects who posited an internal locus of control preferred cubism (a genre that the experimenters considered "highly controlled "), whereas subjects who posited an external locus of control preferred surrealism ("more uncontrolled"). burt's ( ) study revealed that emotionally stable people preferred paintings depicting calm subjects; emotionally unstable people preferred ones depicting dramatic subjects. finally, tobacyk et al. ( ) found that, for example, "reserved, de- tached, and cool" subjects preferred "cool, calm, tensionless" paintings, and that "imaginative" subjects preferred abstract (as opposed to representational) art. these experimenters ap- parently did not obtain a measure of ideal self; if they had, perhaps they would have found an even stronger correlation be- tween preference and similarity to ideal. i reexamination of the data subject by subject and adjective by adjective revealed a tendency that could have held the corre- lations between liking and self to relatively low levels. the sub- jects generally showed large correlations across paintings on only one or two adjectives, with weaker correlations on the other adjectives. perhaps in the formation of aesthetic preference, only one or two dimensions are "important" to each subject. if we take each subject's single highest correlation between liking and ideal self and average across subjects, we arrive at an absolute value of r = . (compared with . or . when we base each subject's correlation on all adjectives). although the value . is probably somewhat an overestimate, its size nevertheless suggests that a small number of adjectives accounts for much ~f the self-referential relationship. a better method to test this possibility would be to determine in advance the adjectival dimension that is "important" to each subject and only then to calculate a correlation between liking for a painting and the similarity of that painting to the subject's ideal self. moreover, one could ask whether viewers themselves actually acknowledge the similarity between perceived qualities of paint- ings and of self. in the present study, we derived-in fact, we defined- similarity scores from the subjects' judgments of the paintings and of their selves. whether the subjects actually per- ceived these similarities as we defined them, we do not know. of course, it is perfectly possible that an implicit similarity, of which the viewer is not aware, can influence aesthetic preference. in sum, the present study indicates that a subject's aesthetic preference is positively related to the similarity between qualities the viewer sees in the painting and those the viewer sees in his or her ideal self; the direction of causality is, of course, strictly a matter of conjecture. hom the observation that only one or two adjectival dimensions are "important" to each subject, it may prove profitable in the future to attempt to locate the par- ticular dimensions that matter to each person's formation of aesthetic preference. references allport, g. w. personality; a psychological interpretation. new york: holt, . burt, c. the factorial analysis of emotional traits. character and personality, , , - . cattell, r. b. description and measurement of personality. new york: world, . cattell, r. b. the scientific analysis of personality. chicago: adeline, . guilford. j. p. personality. new york: mcgraw-hili, . juhasz, j., & paxson, l. personality and preference for painting style. perceptual and motor skills, , , - . knapp, r. h. an experimental study of a triadic hypothesis con- cerning the sources of aesthetic imagery. journal of projective techniques and personality assessment, . , - . lindauer, m., & dintruff, d. contrast effects in response to art. perceptual and motor skills, , , - . osgood, c. e., suci, g. j., & tannenbaum, p. h. the measure- ment of meaning. urbana: university of illinois press, . thurstone, l. l. thurstone temperament schedule. chicago: science research associates, . thurstone, l. l. the dimensions of temperament. psychomet- rika, , . - . tobacyk, j., bailey, l., & meyers. h. preference for paint- ings and personality traits. psychological reports, , , - . notes i . these two points give rise to the question of whether ideal self is the crucial factor in self-reference-mediated preference; perhaps the correlation with real self actually reflec~s the ~e~~ee to which real self is similar to ideal self. to assess this possibility for each subject, we obtained two values: (i) the difference be- tween the correlation of liking with real self and liking with ideal self, and ( ) the correlation between the judgments of the two selves (eliminating values above . , since these necessarily and spuriously raise the correlation) . the correlation over sub- jects between these two derived values was negligible. th.us, there seems to be little support for the view that the correlation between real and ideal selves accounts for the correlation be- tween liking and real self. . of the bipolar adjectives used in this experiment, no single adjective could be isolated as an effective predictor of liking. taking correlations separately for each subject and for each adjective and averaging across subjects, the dimension "child- ish/mature" proved to be the strongest [mean r = . , ( ) = . , p = . , for ideal self; but mean r = . , t( ) = . , p = . , for real self]. given such low average correlations for single adjectives, it seems unlikely that refinement of the ~d!ec­ tive list will yield a single, consistently good predictor of hkmg, but, rather, that the subjects vary idiosyncratically in the dimen- sions that matter to "self-reference." (manuscript received for publication april , .) << /ascii encodepages false /allowtransparency false /autopositionepsfiles true /autorotatepages /none /binding /left /calgrayprofile (gray gamma . ) /calrgbprofile (srgb iec - . ) /calcmykprofile (iso coated v % \ eci\ ) /srgbprofile (srgb iec - . ) /cannotembedfontpolicy /error /compatibilitylevel . /compressobjects /off /compresspages true /convertimagestoindexed true /passthroughjpegimages true /createjobticket false /defaultrenderingintent /perceptual /detectblends true /detectcurves . /colorconversionstrategy /srgb /dothumbnails true /embedallfonts true /embedopentype false /parseiccprofilesincomments true /embedjoboptions true /dscreportinglevel /emitdscwarnings false /endpage - /imagememory /lockdistillerparams true /maxsubsetpct /optimize true /opm /parsedsccomments true /parsedsccommentsfordocinfo true /preservecopypage true /preservedicmykvalues true /preserveepsinfo true /preserveflatness true /preservehalftoneinfo false /preserveopicomments false /preserveoverprintsettings true /startpage /subsetfonts false /transferfunctioninfo /apply /ucrandbginfo /preserve /useprologue false /colorsettingsfile () /alwaysembed [ true ] /neverembed [ true ] /antialiascolorimages false /cropcolorimages true /colorimageminresolution /colorimageminresolutionpolicy /warning /downsamplecolorimages true /colorimagedownsampletype /bicubic /colorimageresolution /colorimagedepth - /colorimagemindownsampledepth /colorimagedownsamplethreshold . /encodecolorimages true /colorimagefilter /dctencode /autofiltercolorimages true /colorimageautofilterstrategy /jpeg /coloracsimagedict << /qfactor . /hsamples [ ] /vsamples [ ] >> /colorimagedict << /qfactor . /hsamples [ ] /vsamples [ ] >> /jpeg coloracsimagedict << /tilewidth /tileheight /quality >> /jpeg colorimagedict << /tilewidth /tileheight /quality >> /antialiasgrayimages false /cropgrayimages true /grayimageminresolution /grayimageminresolutionpolicy /warning /downsamplegrayimages true /grayimagedownsampletype /bicubic /grayimageresolution /grayimagedepth - /grayimagemindownsampledepth /grayimagedownsamplethreshold . /encodegrayimages true /grayimagefilter /dctencode /autofiltergrayimages true /grayimageautofilterstrategy /jpeg /grayacsimagedict << /qfactor . /hsamples [ ] /vsamples [ ] >> /grayimagedict << /qfactor . /hsamples [ ] /vsamples [ ] >> /jpeg grayacsimagedict << /tilewidth /tileheight /quality >> /jpeg grayimagedict << /tilewidth /tileheight /quality >> /antialiasmonoimages false /cropmonoimages true /monoimageminresolution /monoimageminresolutionpolicy /warning /downsamplemonoimages true /monoimagedownsampletype /bicubic /monoimageresolution /monoimagedepth - /monoimagedownsamplethreshold . /encodemonoimages true /monoimagefilter /ccittfaxencode /monoimagedict << /k - >> /allowpsxobjects false /checkcompliance [ /pdfa b: ] /pdfx acheck false /pdfx check false /pdfxcompliantpdfonly false /pdfxnotrimboxerror true /pdfxtrimboxtomediaboxoffset [ . . . . ] /pdfxsetbleedboxtomediabox true /pdfxbleedboxtotrimboxoffset [ . . . . ] /pdfxoutputintentprofile (srgb iec - . ) /pdfxoutputconditionidentifier () /pdfxoutputcondition () /pdfxregistryname () /pdfxtrapped /false /createjdffile false /description << /ara /bgr /chs /cht /cze /dan /deu /esp /eti /fra /gre /heb /hrv /hun /ita (utilizzare queste impostazioni per creare documenti adobe pdf adatti per visualizzare e stampare documenti aziendali in modo affidabile. i documenti pdf creati possono essere aperti con acrobat e adobe reader . e versioni successive.) /jpn /kor /lth /lvi /nld (gebruik deze instellingen om adobe pdf-documenten te maken waarmee zakelijke documenten betrouwbaar kunnen worden weergegeven en afgedrukt. de gemaakte pdf-documenten kunnen worden geopend met acrobat en adobe reader . en hoger.) /nor /pol /ptb /rum /rus /sky /slv /suo /sve /tur /ukr /enu >> >> setdistillerparams << /hwresolution [ ] /pagesize [ . . ] >> setpagedevice norms, culture and economic performance: cae working paper # - teacher truancy in india: the role of culture, norms and economic incentives by kaushik basu january . january , teacher truancy in india the role of culture, norms and economic incentives kaushik basu professor of economics and c. marks professor of international studies and director of the program on comparative economic development department of economics uris hall cornell university ithaca, new york u.s.a fax: email: kb @cornell.edu [this is text of the vera anstey memorial lecture, delivered by the author at the th annual conference of the indian economic association in visakhapatnam, on december ]. acknowledgements: i am grateful to the indian economic association for the invitation to deliver the vera anstey lecture and to ashok mathur for helpful and insightful comments and suggestions following my lecture. teacher truancy in india the role of culture, norms and economic incentives . culture i shall use the occasion of the vera anstey memorial lecture to address a neglected theme in the study of economic efficiency and economic progress, namely, the role of culture and social norms. my aim is to first discuss this in general terms and then illustrate it in the context of contemporary india and, in particular, the widely-discussed problem of teacher absenteeism. given vera anstey’s unwavering interest in india and the broad inter-disciplinary view that she took of economics, my choice of topic, i hope, is apt. the laity, unlike professional economists, has long recognized the role of norms and culture. thus people talk of how certain groups do well economically because they have a ‘culture of hard work’ or are endowed with the ‘protestant ethic’. it is often maintained that nations or peoples that are characterized by a culture of trust and so have an inclination to honour contracts and not break promises at will are the ones that do better (fukuyama, ). max weber, having toured the u.s. in , was impressed by the economic success of the protestant sects and the impact of this on the whole country; and he put this down to the fact that, as swedberg ( , p. ) notes, “the members of the sects were seen as absolutely trustworthy and honest—two qualities that greatly facilitated doing business in a huge country such as the united states.” there are two reasons why economists have ignored these factors. first, by virtue of being non-economic variables they have been perceived as lying beyond the ambit of their expertise. second, it is often presumed that, even if norms and culture can make a difference, there is not much we can do with this information. the mention of culture easily evokes a sense of fait accompli. indeed, “a policy for changing culture” has a slightly absurd ring to it. however, it is arguable that both these presumptions are erroneous. with the rise of strategic analysis and game theory, economics – at least in terms of methodology – can contribute to the study of the role of culture that goes beyond intuition and beyond what the other social sciences can give us. not surprisingly, there is now a small literature rooted in game theory that does try to grapple with culture and social norms. but there is still a great distance to go. as for policy, it turns out there is a lot that we can do when we are informed about the interconnections between social norms and economic performance. this is for two reasons. first, while i believe norms and culture are important determinants of economic well-being, i do not believe they are immutable. cultures change, respond to education and advertising and, in fact, economics. i have elsewhere (basu, ) discussed how in the s koreans were described as lacking in industry and having cultural mores that were doomed to economic failure, which is of course completely contrary to how we think about koreans today. now, while those descriptions may have been inspired, in part, by superciliousness, they also reflect how people’s mores and cultures can change. stressing again the malleability of cultural mores and their connection to economic development, geertz ( , p. ) observes, “[it] has become more and more apparent that tokugawa japan, pre- russia, and the england of were not merely periods of quiet, unchanging stability before a sudden cataclysm of economic revolution, but rather periods of widespread intellectual and social ferment, in which crucial social relationships and cultural values were being altered in such a way as to allow an eventual large-scale reorganization of productive activities” (italics added). all this suggests that we can try to eliminate or modify cultural traits that have harmful consequences on the economy and encourage the ones that aid efficiency and progress. and even though it is true that, at this stage, we do not fully understand what causes culture and social norms to change, the mere recognition that they do change and can potentially respond to policy is important and can help set up a useful research agenda exploring the link between various policies and what they do to our mores. secondly, even when our norms and culture are fixed, knowing how they intertwine with economic variables, enables us to think of new policy interventions and assess more see, for instance, kreps ( ), sethi and somanathan ( ), young ( ), basu ( ), fehr and fischbacher ( ), rao and walton ( ), sen ( ). accurately the costs and benefits of interventions. i shall illustrate this with a formal model in section , below. . india there can be no denying that the indian economy stands on the brink of big changes. over the last decade or two it has grown at rates that were once unthinkable and, by contemporary global comparison, quite outstanding. india’s current foreign exchange balance of $ billion makes it a country with the fifth highest foreign reserves in the world. this is a far cry from the early s when her coffers were all but empty. it is this same fact that makes it surprising that indian companies are becoming global players, with acquisitions occurring all around the world. in the software sector and, increasingly, in pharmaceuticals and steel india is becoming a global player. yet one has to be blind not to notice that much is wrong. india is home to the world’s largest number of poor people – those who earn less than $ a day. its global corporations may be known for their culture of efficiency and clean business, but it is a country of seething corruption, of small companies that double deal and cheat, of a bureaucracy that is grindingly slow and callous. to start a business in singapore it takes days to get the requisite bureaucratic clearances; in india it takes days. the time it takes to resolve insolvency procedures for firms facing closure is months in singapore and months in india. many a ceo can well expect to exit the earth sooner than his firm is allowed to exit the industry. indian teacher absenteeism in government-run schools is reaching epidemic proportions and this problem is representative of much that is wrong with the bureaucracy. several studies show that, when it comes to playing truant from school, indian teachers are very good match for their students (probe, ; rana, rafique and sengupta, ). a multi-country study in which researchers made surprise visits to government-run primary schools shows that in terms of teacher truancy, india is second only to uganda and the defeat is by no means ignominious (kremer et al, ). at any time, % of teachers are found missing from government-run schools in india; the figure for uganda is %. kremer et al ( ) in fact found that only % of the teachers in india were actually teaching at the time of the surprise visits. it is not surprising that, while in terms of higher education india compares well even with industrialized nations many times richer than india, in terms of basic literacy india is at the bottom end of global charts, trailing behind several much poorer sub-saharan african nations. what should be done? for nearly forty years after india’s independence a large number of indian economists felt that large-scale planning, the public sector and government can solve all our problems. what is remarkable is that we are beginning to show the same kind of naiveté once again as a number of economists argue that leaving it all to the market and government making itself scarce can take care of all our problems. the truth is that an economy is an extremely complex organism that requires plenty of abstract analysis, ample statistical information and a handsome dose of policy intuition. markets, individual enterprise and incentives, the ability to write all kinds of contracts are crucial ingredients for an economy’s success. but none of this can function unless government provides the requisite institutional structure (for one, the legal setting for effective and quick contract enforcement) and basic infrastructure. in addition government has to ensure that basic living standards are met and a safety net is provided for the poor and underprivileged. at the same time there is no point in crying hoarse about how our government and the politicians are worthless because government is, in turn, a product of the economy and society. fortunately, there is growing sophistication about the management of the economy and so there is hope that we will not keep swinging between all-government and markets-alone economics, as indian economists have tended to do in the past. where we have not shown sophistication – and this is true not just for india but for the profession of economics generally – is in realizing that much of economic behavior is embedded in social norms, culture and polity – as sociologists have long recognized . let us consider the problem of teacher truancy in india. why does it happen and how should one cure it? in answering such questions we have typically looked for economic variables. this can be very useful. we now know what effect sudden inspections have. we have some idea of the role of salaries on such behavior. analysts see weber ( ), granovetter ( ), granovetter and soong ( ), nee and ingram ( ), swedberg ( , chapter ). have rightly stressed the role of incentives – both carrots and sticks – in creating greater work discipline among the teachers. however, i believe that much of the problem is rooted in culture and social norms. economists assume that, once we cite culture, we are basically planning to do a disappearing act in a welter of words and vague generalities. but that need not be so. it is possible to give rigorous shape to cultural explanations. i shall illustrate this with the example of the teacher truancy problem. but i believe similar cultural explanations are possible for many of the more vexing problems of the indian economy, such as the sluggish and hindering bureaucracy, the problem of ubiquitous corruption, and also matters like workplace sloth. . model that there is more to teacher truancy or absenteeism from school than matters of economic incentives is suggested by the fact that there is an enormous variation in behavior patterns across states. the best state is maharashtra with an absenteeism rate of . % and the worst is jharkhand with a rate of . % (see kremer et al, ). other states are distributed between these two extremes, with, for instance, kerala at . %, west bengal . %, punjab . % and bihar %, no doubt relieved that jharkhand is not a part of it any more. given that teacher salaries (in government-run schools) are standardized across the country and rules of reward and punishments are also fairly uniform across the states (and, i may add, close to zero), clearly a study of teacher truancy that bases itself solely on economic variables would be missing something important. i believe that the missing element here is the fact that human beings are social entities. they rely a lot on society’s approval and try to stay away from behavior that meets with social stigma. it will be shown here that introducing a tiny element of this ‘social’ aspect can enormously enrich our understanding of the homo economicus. i can make no claims to originality in the model that follows. it draws on existing ideas and the only novelty is applying it to the problem of teacher truancy. its importance derives from the fact that a similar reasoning underlies a lot of india’s problems with bureaucracy and labor, in general. consider an economy with a set, n, of teachers, where },..., , { tn ≡ . so there is a total of t teachers. let rs. w be the teacher’s salary. let rs. f be the fine a teacher has to pay if caught absenting himself from school without a valid reason. this is meant to be a summary measure of all the negative consequences that can occur because of truancy. the teacher may lose his job, not get an otherwise-expected raise in salary and so on. instead of detailing such punishments i simply assume that there is a total fine of f. and let p be the probability of being found out when a teacher plays truant. hence pf is the expected economic cost of truancy. since all teachers face the same economic environment, there is no reason to put a teacher subscript to these variables. let z(i) be the benefit that teacher i gets by being truant from school. thus z(i) could be her income at her other job or the rupee-equivalent of the joys of sleep during the daytime. it will be assumed, without any loss of generality, that j > i implies ).()( izjz ≤ now, let me turn to the social variables. assume that teachers, like all human beings, are moral creatures and get satisfaction from knowing that their teaching confers benefit to society. let the value of this be v. in reality, the valuation of this benefit will vary from person to person and should be written as v(i). but for algebraic simplicity, i will assume that this is constant across teachers. finally, a teacher who plays truant suffers social criticism. let s denote this ‘stigma’ cost of truancy. clearly there is a cultural element in this. if lots of teachers are truant, this becomes acceptable behavior; and so in such a society, s will be small. on the other hand, if very few teachers are truant, s will be larger. so if n is the number of teachers, who play truant, we can think of the stigma cost being a function of this. it could be written as s(n), where s’(n) < . this feature of stigma was used by lindbeck, nyberg and weibull ( ) to understand variations in swedish unemployment . let us now consider a teacher ni∈ and see how he will decide whether or not to be truant. suppose that he expects that n teachers will be truant. so, if i is a ‘diligent teacher’--let this be our term for someone who does not give in to truancy--, then his benefit is w + v. if he is truant, his benefit is w + z(i) – pf – s(n). hence, i will choose to be truant if and only if vwnspfizw +≥−−+ )()( ( ) or pfvnsiz ++≥ )()( ( ) by using ( ) for different i’s we can in fact find out how many teachers will choose to play truant. this can be seen clearly using a diagram. let the horizontal axis in figure represent teachers, from to t. the figure shows the graph of the z(i)-function. now, suppose n is the believed or expected level of teacher truancy. given n, calculate s(n) + v + pf and draw a horizontal line in the same figure where the line occurs at a height of this value. this line is shown by ab. what we can assume is that oa in the figure is equal to s(n) + v + pf. it is obvious that every teacher, i, to the left of m will be truant. this follows from ( ). hence, the number of teachers who will play truant is m. mathematically, m is that element of n such that pfvnsmz ++= )()( ( ) equation ( ) defines m implicitly. it says that, if n teachers are expected to be truant, then m teachers, where m is given by ( ), will in fact be truant. figure . z(i) a b io m see, also, besley and coate ( ), lopez-calva ( ). clearly, if then this cannot be an equilibrium, because people will gradually realize that their initial expectation of the incidence of truancy was wrong. as they adjust their beliefs, their behavior will change. we will have an equilibrium when we find an expectation of truancy that gets corroborated by the behavior that is generated by that expectation. ,nm ≠ in order to say this a bit more formally, let me rewrite equation differently, where m is explicitly a function of n. this may be written as ),,( pfvnm φ= ( ) in other words, φ is defined such that, for all n, v, pf, .)()),,(( pfvnspfvnz ++=φ since, s’(n) < , and z’(m) < , it is obvious that ),,( > ∂ ∂ n pfvnφ ( ) hence as n increases, φ will increase. now, we can define an equilibrium. given v, pf, we shall say that n* is an equilibrium level of teacher truancy if and only if ).,,( ** pfvnn φ= figure illustrates an equilibrium. in that figure, i have drawn the graph of a possible φ -function. since this is upward-sloping (in n) and is obviously bounded from above, the case illustrated is a plausible one. in this economy, there are three equilibria, with teacher truancy levels in equilibrium being at n , n and n . figure . ° φ(n, v, pf) n n n n this shows that an economy can have multiple equilibria. two economies that are identical ex ante with identical economic environments (that is, with w, p and f identical) can exhibit very different kinds of behavior ex post, meaning after the equilibrium is established. we can now see why jharkhand and maharashtra can have such different levels of teacher absenteeism, despite the standardization of economic incentives across the nation. it is simply that the two places have developed different cultures of what constitutes acceptable behavior. but acceding significance to culture does not mean that the role of economic policy becomes any less significant. but it does mean that economic variables may work differently than what standard textbooks tell us. and this is indeed the value of this kind of analysis, since it takes us closer to how people behave in reality. first of all, economists attach too little importance to the role of direct social education and other attempts to alter social norms. it is known that people can learn to be social. this can be in the sense of people learning to use a sense of fairness and justice to select among multiple equilibria, as modeled by myerson ( ); and this has deep implications for understanding institutions of justice. but it can also be so in the sense of altering our preferences. human beings can, for instance, be taught to be altruistic and they can be persuaded to be more trustworthy. countries have been known to witness changes in the habits of its citizenry, such as the habit of littering the streets or smoking in public or unmentionables in public. it is true that the process through which these changes occur and the stimulus that causes these changes are not adequately understood. but we know, in principle, that it is possible to change these norms and preferences. in the present context it means, for instance, that it is possible to raise the value of v or raise the stigma-function upwards, which would, in turn, encourage teachers to do their work more diligently. but this is not the line that i shall pursue here. what i will show here is that, even if our preferences and values remain unaltered, behavior can be changed by the use of standard economic interventions; but these interventions can be made extra effective by using the leverage of their connection with the stigma variable. let me make a small assumption. if the φ -function moves up and down a little, let us assume that the selected equilibrium remains in the vicinity of the original equilibrium, that is, it does not ‘jump’ to another far away equilibrium. now suppose an economy is at n in figure . it is easy to check if the economic punishment for truancy is raised, that is, pf is raised, then the graph of the φ -function will move down. hence, equilibrium truancy will go down by a small amount. in traditional analysis, without social variables entering the picture, we would rightly suppose that if we wanted truancy to drop a lot, that is, to go to n , we would need a large increase in pf, roughly proportionately to what was needed for the small change. but notice what happens in this model. as pf is raised steadily, suddenly the high- truancy equilibrium vanishes and the only existing equilibrium will be close to n , in fact, to the left of n (since the graph of the φ -function would have shifted) . suppose we hold the economy there for a while, that is, keep pf raised as much as needed to make the high-truancy equilibrium disappear. after a while, if we set pf back to where it originally was, so that the φ -function returns to where it is in figure , the economy will now remain at n . in other words, no permanent policy changes are needed to alter economic behavior. a temporary policy can achieve permanent changes in this is the same kind of argument that was used in the celebrated paper by schelling ( ) on segregated housing. behavior. this is, of course, a consequence of there being a multiplicity of equilibria , which, in turn, occurs in this model because of the role played by social stigma. . conclusion the model was meant to be an illustration of the possibilities that open up once we make room for sociological variables. it can be extended in different directions. if, for instance, the size of stigma to person i, si, depends not just on the total number of people in the economy who choose to be truant, but to the number of people who choose to be truant in i’s community, the results would change . this could mean the emergence of community level differences. one group can exhibit a significantly higher level of truancy than another. this, in turn, can create feedbacks whereby persons of one community are favored over another for jobs and other responsibilities. in such a model the community-based preferences need not be caused by any ex ante racism, but is a concomitant of equilibrium, an ex post feature of the equilibrium. but, of course, it can be as repressive as innate racism. cultural models can shed light on other areas of concern to india’s policy makers, such as bureaucratic behavior, corruption and labor market inefficiencies. in trying to improve labor market performance and the welfare of the workers themselves, we usually recommend changes in india’s labor laws and regulation (papola, ; basu, ). but a lot of what happens in the labor market happens with no reference to the law. this happens both because so much of the labor market in developing countries lies outside the formal sector (see ghose, , pp. - ) and because we often collectively overlook the law . hence, outcomes are much more dependent on norms and mores of the labor market than economists have typically acknowledged (see singh, , for discussion). and, therefore, if we want to improve labor market functioning, we need to pay more attention on how to influences these norms and the culture of the workplace. a similar policy problem, where a temporary intervention could have permanent effect was studied in the context of child labor by basu and van ( ). ‘community’ here can refer to a racial group, a caste category, i’s co-religionists and so on. hence, the model can be taken the route of membership-based theories of economic behavior (see, for example, banerjee and munshi ; durlauf, ; basu, genicot and stiglitz, ). moving away further from the formal model, one can speculate about what influences our moral and cultural preferences. for instance, it is known that the aesthetics of one’s environment matters in determining how one behaves. people, who live in graffiti-scarred, bottle-littered neighborhoods, develop a sense of failure and resignation; and so cleaning up an area can be a first step in controlling gang violence, for instance. indian bureaucratic offices are often maintained poorly, with litter and the cubism of discarded furniture piled high. it is easy to feel resigned to lower standards in such an environment and not strive to realize one’s better self. economists, being professionally trained to looking at prices and resources, incomes and wages, and pecuniary incentives, tend to dismiss cultural explanations as vague and useless. but if we take serious stock of the success we have had (very little) in controlling corruption, absenteeism at work and bureaucratic red tape, we will realize that culture may at least be worth a try. interestingly, the informal sector can actually expand during a crisis (see islam et al, , in the context of indonesia), thereby making greater room for fugitives from the labor law. references banerjee, a. and munshi, k. ( ), ‘how efficiently is capital allocated? evidence from the knitted garment industry in tirupur’, review of economic studies, vol. . basu, k. ( ), prelude to political economy: a study of the social and political foundations of economics, new york and oxford: oxford university press. basu, k. ( ), ‘the indian economy: up to and since,’ in k. basu (ed.), india’s emerging economy: problems and prospects in the s and beyond, cambridge, ma: mit press. basu, k. ( ), ‘labor laws and labor welfare in the context of the indian experience,’ in a. de janvry and r. kanbur (eds.), poverty, inequality and development: essays in honor of erik thorbecke, new york: springer. basu, k., genicot, g. and stiglitz, j. ( ), ‘minimum wage laws and unemployment benefits when labor supply is a household decision,’ in k. basu, p.b. nayak and r. ray (eds.), markets and governments, new delhi: oxford university press. basu, k. and van, p.h. ( ), ‘the economics of child labor’, american economic review, vol. besley, t. and coate, s. ( ), ‘understanding welfare stigma: tax payer resentment and statistical discrimination,’ journal of public economics, vol. . durlauf, s. ( ), ‘the membership theory of poverty: the role of group affiliations in determining socioeconomic outcomes’, in s. danziger and r. haveman (eds.), understanding poverty in america, cambridge, ma: harvard university press. fehr, e. and fischbacher, u. ( ), ‘social norms and human capital,’ trends in cognitive sciences, vol. , - . fukuyama, f. ( ), trust: the social virtues and the creation of prosperity, new york: free press. geertz, c. ( ), peddlers and princes, chicago: chicago university press. ghose, a. k. ( ), jobs and incomes in a globalizing world, geneva: ilo. granovetter, m. ( ), ‘economic action and social structure: the problem of embeddedness,’ american journal of sociology, vol. , - . granovetter, m. and soong, r. ( ), ‘threshold models of diffusion and collective behavior,’ journal of mathematical sociology, vol. , - . islam, r. et al ( ), ‘the economic crisis: labor market challenges and policies in indonesia,’ in betcherman, g. and islam, r. (eds.), east asian labor markets and the economic crisis, washington: world bank, and geneva: ilo. kremer, m., muralidharan, k., chaudhury, n., hammer, j. and halsey rogers, f. ( ), ‘teacher absence in india: a snapshot,’ journal of european economic association, forthcoming. kreps, d. ( ), ‘corporate culture and economic theory,’ in j. alt and k. shepsle (eds.), perspectives on positive political economy, cambridge: cambridge university press. lindbeck, a., nyberg, s. and weibull. j. ( ), ‘social norms and economic incentives in the welfare state,’ quarterly journal of economics, vol. , - . lopez-calva, l.-f. ( ), ‘social norms, coordination and policy issues in the fight against child labor,’ in k. basu, h. horn, l. romain and j. shapiro (eds.), international labor standards, oxford: blackwell publishing. myerson, r. ( ), ‘justice, institutions and multiple equilibria’, chicago journal of international law, vol. , - . nee, v. and ingram, p. ( ), ‘embeddedness and beyond: institutions, exchange and social structure,’ in m. brinton and v. nee (eds.), the new institutionalism in sociology, new york; russell sage foundation. papola, t. s. ( ), ‘structural adjustment, labor market flexibility and employment,’ indian journal of labour economics, vol. . probe ( ), public report on basic education in india, new delhi: oxford university press. rana, k., rafique, a., and sengupta, a. ( ), the pratichi education report: the delivery of primary education, new delhi: the pratichi india trust. rao, v. and walton, m. ( ), culture and public action, stanford: stanford university press. schelling, t. ( ), ‘the process of residential segregation: neighborhood tipping,’ in a. pascal (ed.), racial discrimination in economic life, lexington ma: lexington books. sen, a. ( ), the argumentative indian: writings on indian history, culture and identity, new york: farrar, straus and giroux. sethi, r. and somanathan, e. ( ), ‘the evolution of social norms in common property resource use,’ american economic review, vol. , - . singh, j. ( ), some aspects of industrial and labour markets in india; perspectives from law and economics, phd thesis, delhi school of economics, delhi university. swedberg, r. ( ), principles of economic sociology, princeton: princeton university press. weber, m. ( ), the protestant ethic and the spirit of capitalism, new york: scribner’s [published ]. young, p. ( ), individual strategy and social structure, princeton: princeton university press. january , the role of culture, norms and economic incentives kaushik basu the role of culture, norms and economic incentives . .pdf page editorial organised sound ( ): – © cambridge university press. printed in the united kingdom. doi: . /s editorial this issue of organised sound explores the many facets of sound installation. personally, i have been working in this area for about ten years, during which time i have been increasingly interested in ascertaining a broad, generic definition of the practice, both for my own edification and as a means to better communicate and promote the value of sound installation practice as an important and established contemporary art form. an increasing proportion of sound installations use technology for playback and sensing. be they inter- active or not, it seems appropriate to ask about their value: • what do we take away from them? • how do they enrich our understanding of the world? • do we continue to think about the experience afterwards, thereby developing a deeper apprecia- tion of the ways in which that experience reflects upon our own lives as one does long after viewing a good film or attending a great concert? i do not pretend that my own work has these out- comes, although, like many other installation artists, i strive to create work that will facilitate these out- comes. as is true of other computer-mediated art, new media art is nowhere near its zenith – there is much work to be done in developing a language that communicates clearly and is sufficiently varied to accommodate the many individual artists working in the medium, while maintaining continuity and homogeneity. i ask myself if the experience of these works is simply one of mapping the development of the art form, and in turn the evolution of the technologies, or an unbridled expression of artistic intent. we are lucky enough at this point in the development of new media art to experience both; however there are still many works, even at prestigious festivals, that communicate little more that a technical achievement, and indeed the challenge of writing articles like those in this issue of organised sound is to go beyond the technological developments and communicate something about the artistic intention. if new media art, including interactive sound instal- lation, is to be taken seriously as an art form with the capacity to communicate something of the existential, we need to lose the technology, the technology that makes the work possible, the hours, weeks, months of programming, the innovative technical development. these aspects of the work, which are often revered as great achievements, need to be transparent, conspicu- ous by their absence. the visitor/user/spectator should, in my view, be unaware and unconcerned with the technology creating the experience, feeling a symbiotic relationship with the work that permits a real sense of freedom of interpretation and allows an apparently infinite scope for self-expression and exploration. although technology has developed in leaps and bounds in the last decade, affordable computing power has only recently become sufficient for real- time interactivity. the current state of technology is encouraging for the development of this kind of work; we are living at a time that supports real-time data- driven sound synthesis through fast computing and excellent software tools. the value of sound installation practice can be gauged, not only by the number of pieces on exhibition around the globe at any one time, but in the degree to which the use of sound has permeated the broader realms of installation and fine art. major exhibitions such as sonic boom and the continuing development of sound culture and the interest shown in sound installation by major annual exhibitions/forums, including isea, ars electronica and the new york digital salon, all indicate this slow and quiet evolu- tion. of course this is by no means an exhaustive list, but it does indicate a growing strength in both the levels of interest, the broad support for sound instal- lation, and the depth of practice in the area. the con- tinued strength of these high-profile programmes of exhibition and the ever-increasing depth of writings on sound installation stand as witness to its significance in contemporary cultural practice. given this increase in exploration and exhibition of sound installation works, it is strange that there are sonic boom was curated by david toop and occurred at the hayward gallery, london, in . see http://www.soundculture.org https://www.cambridge.org/core/terms. https://doi.org/ . /s downloaded from https://www.cambridge.org/core. carnegie mellon university, on apr at : : , subject to the cambridge core terms of use, available at https://www.cambridge.org/core/terms https://doi.org/ . /s https://www.cambridge.org/core editorial only a small number of books that endeavour to define the genre. one such book is ros bandt’s sound sculp- ture, intersections in sound and sculpture in australia ( , fine art publishing, sydney), reviewed herein by david worrall. one of the challenges of defining the genre is that every work by every artist appears to develop alter- native approaches, methodologies, technologies and outcomes. the idiosyncratic nature of sound instal- lation works makes it difficult to find commonality within the body of works that are understood to form the genre. it is in this context that i have often asked myself, what defines sound installation practice? in terms of interactive, generative, and other tem- porally fluid forms, we can examine each work’s char- acteristics and write at length about the techniques involved in its making: • the loudspeaker placement, • the mappings employed between the input and the sound outcomes, • the relationship between site and design, • the software design, • the sound synthesis algorithms, and so on. if the work uses pre-recorded content then the format of delivery might be discussed, compact disc, multi- channel tape, multi-channel hard disk playback, flash ram or other proprietary technologies; however, the relationship between the format as a mechanism for delivery and the artist’s methodology is a more fruitful area of exploration. the work may employ a strategy of silent tracks to create a slipping synchronisation of the various tracks, or perhaps a level of triggering of sound files rather than allowing them simply to play. alternatively, the sound output may be generated using real-time synthesis techniques, based on any number of data input streams, mapped directly to synthesis variables, or themselves driving higher-order generative processes. all of the above are established techniques, regu- larly applied where appropriate. what stands out from even a cursory survey of sound installation works is that most sound installation artists have used all of the above-mentioned techniques, that no matter how dif- ferent the pieces may seem on the surface, fundamen- tally, only a small range of pragmatic techniques are applied. a list of these techniques might account for about twenty. there certainly are not more than fifty primary methodologies, but such a list of techniques does not of course define sound installation practice. it seems timely to consider a full definition of sound installation practice that pays due respect and consid- eration to the plethora of approaches and idiosyn- cratic characteristics indicative of this body of work. one approach would be to look at other well estab- lished art forms. for instance, is painting all about the use of paint? do lists of techniques for the application of paint define the genre? is a painting defined by the paint or its application? if the painting is not about the pragmatics of paint, what constitutes painting as a practice? what is it that binds the users of paint into a community of practitioners, that allows the use of a generic term for the definition, all be it a loose one, of an area of artistic practice? the broadest definition seems to be independent of style, that is, it applies equally, but not exclusively, to styles as diverse as surrealism, abstractionism, impressionism, cubism, realism, landscape, portraiture and even anti-art. the challenge, then, is to uncover a definition of sound installation that can be applied as broadly as the designation painting, unconstrained by style. the australian sound design project is one inter- esting attempt to answer some of these questions. whilst working as a research assistant at the inception of this project, i was involved with dr ros bandt in developing a data model to represent the many forces influencing the development of a sound installation work. this model (see figure) was developed as a way of determining what data should be collected from participants in the project. it was necessary to examine the various stakeholders acting upon each work, and the many facets of developing and executing a sound installation. the work itself was considered central to all the relationships. for instance, it can be seen that the same methodology may be applied to several works; indeed the same conceptual framework may find its fulfilment in a number of different works. for instance, if the central concept is an exploration of the sonification of naturally occurring phenomena, then the artist may develop several installation works as a result of their exploratory journey. the nature of the singular and plural relationships forms one of the most fascinating aspects of the model – that there are so few singular relationships was a surprise; it stands to reason that each presentation of the work has a singu- lar duration, and that each site can have only one acoustic space; however, almost every other relation- ship in the model is dualistic. this was surprising, illustrating the complexity inherent in the task of developing a generic definition of sound installation practice. this model may act as a useful foundation for the consideration of the articles herein. the articles range from a consideration of space, both in terms of the landscape (wright/cook, paine), to the built environment (rudi, giomi/meacci/ schwoon) and more specifically the resonance of architectural built spaces, to the phenomenology of sound= time=space (bain). other articles explore the virtual space of the computer game (schütze), or its current director dr ros bandt established the australian sound design project at the beginning of with the assistance of a large australian research council (arc) grant. the project seeks to document the work of australian sound designers, thereby encouraging discourse in the field. the project can be found at the following url: http://www.sounddesign.unimelb.edu.au/ https://www.cambridge.org/core/terms. https://doi.org/ . /s downloaded from https://www.cambridge.org/core. carnegie mellon university, on apr at : : , subject to the cambridge core terms of use, available at https://www.cambridge.org/core/terms https://doi.org/ . /s https://www.cambridge.org/core editorial space as performance (rebelo), or as a combination of architectural space and human interaction, the cre- ation of what klein terms ‘sound situations’. bandt brings us back to the indigenous practices of listening to the land through her survey of australian aeolian practices, while in stark contrast, davis takes us on a journey through the works of alvin lucier and the concept of the ‘theatricality of minimalism’. schäfer and krebs put forward a typology of sound instal- lation, which is seen here for the first time in english, having been translated and extended through the application of the typology to other artists’ works by john dack and ralf nuhn. we present therefore two models that may assist the reader in developing a more cohesive description of sound installation as a practice. this issue is rounded out with reviews by leigh landy of three books addressing sound installation works, published by kehrer verlag, heidelberg. they address the works of felix hess: light as air; robin minard: silent music – between sound art and acous- tic design; and christina kubisch: klangraumzeit- licht, as well as the above-mentioned worrall review of the bandt publication. the tribute to luciano berio, written by his col- league francesco giomi, is imperative in an edition that contains a discussion of the great master’s work. it celebrates an area to which berio contributed a great deal. the spatialisation and composition work at centro tempo reale is an acknowledgement of berio’s vision and passion. we acknowledge his passing with sadness and with great gratitude to his substantial contribution to the sonic arts, most par- ticularly, the application of technology to the making of new sounds. brief summaries of the articles follow: wright and cook outline their project arbol: deer- b-gone, an outdoor sound installation that proposes a guerrilla approach to sound installation art by focus- ing on low-tech concepts and supplies, displaying an ‘irreverence for mainstream consumerism, created something like a disney world theme park gone awry’. the installation took place in a back yard in princeton, new jersey, usa. paine’s article outlines a large responsive sound installation, reeds, which used two weather stations to generate eight channels of music in real time based on current meteorological conditions. the sounds figure. the data model from the australian sound design project. https://www.cambridge.org/core/terms. https://doi.org/ . /s downloaded from https://www.cambridge.org/core. carnegie mellon university, on apr at : : , subject to the cambridge core terms of use, available at https://www.cambridge.org/core/terms https://doi.org/ . /s https://www.cambridge.org/core editorial emanated from twenty-one fabricated pods of river reeds floating on the ornamental lake in the royal botanic gardens in melbourne, australia. reeds acted as an interface to auralise the internal activity of the plant, the photosynthesis, nutrient gathering and other activities excited by the weather characteristics being measured, invisible to the eye, but sufficiently powerful to break open seemingly impervious built surfaces, roads and buildings. the aesthetic inspira- tion for the project was the imaginary sound one would hear by placing your ear against a plant, but it was also sensitive to the sounds of the environment, wildlife, sounds of traffic, aircraft, etc., and considered the layout of the site through spatialisation making the sounds dynamic in a d space. rudi outlines a large sound installation, norge – et lydrike, norway remixed, undertaken in collabora- tion with norwegian broadcasting corporation (nrk) and norwegian network for technology, acoustic and music (notam) for the ultima con- temporary music festival in olso, norway. it is a fascinating approach to drawing the entire country together by transmitting sound from many locations in norway to a central listening space. the work raises some interesting questions about sound object as har- binger of both nationality and belonging – something that would no doubt generate passionate discussion amongst the sound ecology fraternity, but makes for interesting consideration of the ability of sound to carry environmental characteristics and imply cultural activity or sensibilities. these second- and third-order levels of communication are of particular relevance to sound installation practitioners. giomi, meacci and schwoon outline a large electroacoustic installation conceived and directed by luciano berio for renzo piano’s auditorium in rome. it is especially timely, given berio’s recent pass- ing, to celebrate his extraordinary vision and passion for electroacoustic music, amply illustrated in this project by both technical innovation, typical of centro tempo reale’s consummate technical and aesthetic awareness, and berio’s ongoing passion to promote electroacoustic music to the wider public. the article discusses the many challenges of making sound respond to a large modern architectural space, a process that required some careful sound design and spatialisation techniques. bain presents a thoughtful exploration of the phenomenology of the temporal nature of sound as a representation of three-dimensional space. bain is interested in ‘transducing architecture’, which he describes as ‘driving the space with external influences of a vibro-kinetic nature’. he achieves this by attach- ing transducers to the structure and foundation of architectural structures, running impulses through the structure which creates both sound and structural vibrations in relation to the size, design and construc- tion materials of the space. the structure becomes resonant, inducing sympathetic vibrations, in effect, tuning the building. bain professes an interest in applying these vibrational structures to induce an evolutionary process that binds the human and tech- nological time scale, an ‘art of the future where the body along with the mind is driven through intensify- ing experiences and provoked into new territories in reference to the self, to others and to machines’. schütze is the lead audio designer for blue tongue software in melbourne, australia and was responsible for the sound design for the xboxtm game, jurassic park – operation genesis. his article provides an interesting exploration of the ‘next generation’ gam- ing console as a virtual site for sound installations, and elucidates the many considerations a sound designer has to ponder when creating a surround sound envi- ronment for a computer game, where some events are predictable and some are not. the surround sound aspects of the audio design exposes the remarkable hardware capabilities these new gaming engines have, being able to mix sixty-four d sounds in real time, and allocating priority mixing when the demand exceeds specification. the gaming engine must surely deserve some serious consideration by sound instal- lation artists as a real-time, interactive base for spatialised sound. rebelo discusses the idea of performance, that is engagement and interaction, as a design approach to the creation of interactive digital environments, which he considers as ‘user-spaces; a condition which replaces the art object with a configuration of inter- actions’. the idea of performance defines the ‘inhabit- ant’ as a full participant, a user, a performer of space. this idea is illustrated by two interactive installations by the author, and raises the interesting hypothesis that space is defined by our interaction with it, creating a momentary, multi-modal installation space. klein outlines his approach to placing sound in space, extending guy debord’s ‘conscious creation of situations’ to what klein calls ‘sound situations’. for klein, ‘sound situations’ refers to a particularly focused approach to the relationship between musical space and architectural space. he illustrates this approach through his work ‘transitions – berlin junc- tion’, a public sound installation that uses both acous- tic and built space (in this case the large steel sculpture berlin junction by new york sculptor richard serra), responding to moment by triggering specific sound and speech transformations, emphasising the moment of passage. bandt’s article ‘aeolian sound practices in austra- lia’ addresses not only the placement of sound in the landscapes, but also the reverse, that is, the applica- tion of environmental phenomena to the creation of sound. bandt draws our attention to the existence of https://www.cambridge.org/core/terms. https://doi.org/ . /s downloaded from https://www.cambridge.org/core. carnegie mellon university, on apr at : : , subject to the cambridge core terms of use, available at https://www.cambridge.org/core/terms https://doi.org/ . /s https://www.cambridge.org/core editorial such practices in traditional australian aboriginal instruments such as the bullroarer (kallingooroo) and then proceeds to provide a detailed survey of australian practices in the area from alan lamb’s long-distance telegraph wire installations to john rose’s recent work recording outback australian fences, percy grainger’s various aeolian inspirations, and chris cree brown’s aeolian harp inspired by a recent antarctic residency. randal davis provides a thorough survey of the work of alvin lucier. he explores the dynamic between his concert and installation works, and extends the journey by discussing the ‘theatricality of minimalism’. randal davis discusses michael fried’s term ‘literalist art’, which became a central element in thinking about installation work, and contrary to my own desire, davis concludes that a precise morphology of installation will remain elusive’. schäfer and krebs put forward a theoretical struc- ture derived from their own practice and encapsulated in a typology of five installation types. they are con- cerned with creating an architectonic space that is ‘not only meant to give an intensive spatial experience’, but ‘also becomes an experience of shaping time acousti- cally and artistically’. the article is translated from the original german by john dack and ralf nuhn, and contextualised by them through the application of the schäfer/krebs typologies to the works of other artists. the article makes a thoughtful contribution to both a generic theoretical base and its application. garth paine guest editor https://www.cambridge.org/core/terms. https://doi.org/ . /s downloaded from https://www.cambridge.org/core. carnegie mellon university, on apr at : : , subject to the cambridge core terms of use, available at https://www.cambridge.org/core/terms https://doi.org/ . /s https://www.cambridge.org/core pii: - ( ) - advances in mathematics , - ( ) book reviews h. p. f. swinnerton-dyer, analytic theory of abelian varieties, cambridge, , pp. a no-nonsense, crystal clear account of a difficult and critically important subject. will make a good introduction to other treatments of the subject, such as mumford’s. j. a. richardson, modern art and scientific thought, illinois, , pp. what does cczanne have in common with non-euclidean geometry? how does cubism relate to the principia mathematics ? does kandinsky relate to the rise of quantum mechanics ? read this book and you might find out. d. h. fflemlin, topological riesz spaces and measure theory, cambridge, , pp. some subjects are easier to write about than others, and riesz spaces is one; hence the spate of texts and surveys. this is one of the best. the idea of deriving measure theory from riesz space should be adopted. the author’s discussion of boolean rings and his s(a) would have been greatly simplified by use of the valuation ring of a boolean ring, developed by l. geissinger and others. also, one misses references to caratheodory’s mass and integral and to linton’s categorizations. d. g. northcott, a first course in homological algebra, cambridge, , pp. it is rare to find an advanced algebra text which is not written by the author for his dozen-odd friends, but this seems to be one. the material is central to presentday mathematics, and we are grateful that it is at least being made accessible to a wide public. j. f. hofmann, leibniz in paris, cambridge, , pp. the author was one of the foremost experts ever on leibniz, and this is his lifetime work. unlike most historians, he writes engagingly and accessibly. this book should go a long way to do away with the perniciously inaccurate romantic image of the superior-to-all, universal, saintly “genius,” an image which is still inculcated, with criminal disregard for the truth and catastrophic results, to schoolchildren all over the world. n. biggs, algebraic graph theory, cambridge, , pp. most-though not by any means all-known results relating graphical enumeration to linear algebra are collected here, at long last. a useful reference. m. audi, the interpretation of quantum mechanics, chicago, , pp. philoso- phers of quantum mechanics usually trail current research by about one generation. no wonder: the mathematics is too tough. one wonders of what conceivable use to physicists these johnny-come-lately-accounts stressing the “what if” aspects of past research can be. d. c. gazis, ed., trafic science, wiley, , pp. the mathematical theory of traffic lies at the intersection of fluid mechanics, stochastic processes, optimization, and perhaps other currently fashionable disciplines as well. it is a testing ground and an effective way of making contact with some of the current problems in applied mathematics. i. r. shafarevich, basic algebraic geometry, springer, , pp. at long last, an introduction to algebraic geometry that does not require four years of background in copyright by academic press, inc. all rights of reproduction in any form reserved. espacio americano y teoría europea. diálogos en literatura y pintura cristina elgue-martini resumen en un primer momento, el artículo se aproxima a la poética de alejo carpentier entendida como resultado de procesos de transculturación que consideran los contactos transoceánicos del escritor con las vanguardias europeas, en especial, con el movimiento surrealista francés, y con la antropología. en un segundo momento del análisis, se consideran las pinturas de wilfredo lam de los ’s desde los postulados de “lo real-maravilloso” de carpetier y se las hace dialogar asimismo con la obra de jackson pollock producida en las décadas de y . tanto la obra de lam como la de pollock manifiestan procesos de transculturación en las que la psicología profunda de carl jung constituye un elemento insoslayable, lo mismo que el surrealismo y el cubismo. palabras clave: ​alejo carpentier - wilfredo lam - jackson pollock - espacio americano - teoría europea abstract primarily, the article approaches alejo carpentier’s poetics understood as the result of processes of transculturation that incorporate the author’s transoceanic contacts with the european avant garde movements, mainly french surrealism, and anthropology. secondly, the analysis considers the paintings produced by wilfredo lam in the ’s following the principles of carpentier’s magic realism and next compares them with jackson pollock’s production of the ’s and ’s. both lam’s and pollock’s work shows processes of transculturation in which carl jung’s deep psychology, as well as surrealism and cubism, are essential constitutive elements. keywords: ​alejo carpentier - wilfredo lam - jackson pollock – american space – european theory introducción en esta presentación, aspiro, en un primer momento, a realizar una aproximación a la poética de alejo carpentier, entendida como resultado de procesos de transculturación que consideran los contactos transoceánicos del escritor con las vanguardias europeas, en especial con el movimiento surrealista francés, y con la antropología. en un segundo momento del análisis, me propongo considerar las pinturas de lam de los años desde los postulados de “lo real-maravilloso” de carpentier y hacerlas dialogar, asimismo, con la obra de jackson pollock, producida en las décadas de y . tanto la obra de lam como la de pollock manifiestan procesos de transculturación en las que la psicología profunda de carl jung constituye un elemento insoslayable, igual que el surrealismo y el cubismo. -el campo literario alejo carpentier ( - ) revista de culturas y literaturas comparadas. volumen - año esta obra está bajo una licencia creative commons atribución – no comercial – sin obra derivada . internacional. aunque ​el reino de este mundo​ ( )​ es uno de los primeros relatos mágico-realistas que adquirieron valor paradigmático, más que al relato mismo, quiero dedicarme al análisis del prólogo, debido a que, en él, carpentier define la nueva estética. comienza por caracterizar "lo real-maravilloso" en los siguientes términos: lo maravilloso comienza a serlo de manera inequívoca cuando surge de una inesperada alteración de la realidad (el milagro), de una revelación privilegiada de la realidad, de una iluminación inhabitual o singularmente favorecedora de las inadvertidas riquezas de la realidad, de una ampliación de las escalas y categorías de la realidad percibidas con particular intensidad en virtud de una exaltación del espíritu que lo conduce a un modo de "estado límite”. ( ) carpentier señala, en esta definición, dos fuentes en la gestación de "lo real-maravilloso": la realidad y la exaltación del espíritu, que remiten, respectivamente, al objeto y al sujeto. consideremos primero el objeto. según el autor, la realidad americana tiene carácter maravilloso tanto en su geografía y en su historia, como en la mentalidad de sus pueblos; pero ¿qué entiende carpentier por una realidad maravillosa? aplicado a la geografía, el epíteto alude a la "magia de la vegetación tropical, la desenfrenada creación de formas de nuestra naturaleza -con todas sus metamorfosis y simbiosis" ( ); con respecto a la historia, "lo real-maravilloso se encuentra a cada paso en las vidas de los hombres que inscribieron fechas en la historia del continente" ( ); referido finalmente a la mentalidad de los pueblos hispanoamericanos, lo maravilloso apunta a lo que los antropólogos, a falta de mejor denominación, llamaron por esa época "mentalidad primitiva" o "arcaica". en otras palabras, la realidad del escritor mágico-realista no es ya la realidad de cuño positivista. se trata ahora de una realidad mágica, pero mágica no en el sentido con que el término había sido utilizado por los críticos europeos de la década del veinte -para aludir a una cualidad espiritual o ideal de la realidad-, sino específicamente con el significado que le atribuyen los antropólogos al describir la mentalidad primitiva. brevemente, y basándome en lucien lévy-bruhl , la magia surge del carácter "místico" de este tipo de mentalidad, debiendo entenderse por "mística", "la croyance à des forces, à des influences, à des actions imperceptibles aux sens, et cependant réelles" ( ) . para el primitivo, toda realidad está penetrada de misticismo y en virtud de la ​ley de participación​ , que rige los vínculos de sus representaciones colectivas, en estas representaciones colectivas de la mentalidad primitiva, "les objets, les êtres, les phénomènes peuvent être, d'une façon incompréhensible pour nous, à la foi eux-mêmes et autre chose qu'eux-mêmes" ( ). esta es la llamada participación vivida, a la que sucede la participación representada, estadio en el que, según lévy-bruhl, las fuerzas místicas se encarnan en seres más o menos divinos, surgiendo de esta manera los mitos y los símbolos. este carácter "mágico" o "místico" de la mentalidad primitiva desde la que se aprehende la realidad es lo que permite dar cuenta de las principales características del "realismo mágico americano", donde el milagro en el desarrollo de las acciones, la presencia de una naturaleza mimética y orgánica donde se confunden orden y grado de aunque en sus ensayos carpentier no hace referencia a lévy-bruhl, teniendo en cuenta el interés del escritor cubano por los temas antropológicos y que su estadía en parís transcurre entre y , no debe descartarse la posibilidad de que conociera la obra del sociólogo y antropólogo francés. resulta claro que el adjetivo no está utilizado con el contenido adjudicado al misticismo religioso de nuestras sociedades. cristina elgue-martini los objetos, plantas, animales y seres humanos se explica no en términos de una "desrealización", sino como consecuencia de la realidad antropológica del referente. en efecto, en lo que respecta a la concepción y valoración del mundo natural, la naturaleza distinta y antagonista del hombre de la novela realista-naturalista americana se transforma en un mundo animado, esencial y afectivamente unido al hombre. en lo que se refiere al desarrollo de las acciones, el milagro, que había sido eliminado por la novela naturalista, encuentra ahora un lugar privilegiado. claro que empleo "milagro" desde la perspectiva racional occidental, ya que, considerado desde la mentalidad del hombre de esta narrativa, el milagro tiene una explicación antropológica. como lo indica carpentier en el prólogo de ​el reino de este mundo​ "pisaba yo una tierra donde millares de hombres ansiosos de libertad creyeron en los poderes licantrópicos de mackandal, a punto de que esa fe colectiva produjera un milagro el día de su ejecución" ( ). también, la realidad antropológica del referente explica la presencia del mito y el símbolo -correspondientes al estadio de la participación representada, según lévy-bruhl-, que en la narrativa mágico-realista sustituyen a la alegoría del realismo-naturalismo. dije que "lo real-maravilloso" tiene dos fuentes: el objeto, al que acabo de referirme, y el sujeto. con respecto al segundo, según carpentier, para percibir "las inadvertidas riquezas de la realidad" es necesaria "una exaltación del espíritu": "la sensación de lo maravilloso presupone una fe" ( ). ahora bien, la fe que les permitió captar esa "inesperada alteración de la realidad (el milagro)" no se manifestó espontáneamente en los escritores hispanoamericanos de la generación de carpentier; fue, por el contrario, en gran medida, el fruto de medulosas investigaciones acerca de "las realidades sincréticas" de la américa mestiza y, al mismo tiempo, de la experiencia surrealista. a pesar de que el prólogo de ​el reino de este mundo​ es acerbamente crítico del movimiento de bretón, carpentier nunca dejó de reconocer la importancia que tuvo el surrealismo en su formación intelectual y artística. recordemos que fue miembro del grupo surrealista desde su llegada a parís en y que, aunque en se unió a los disidentes que firmaron el virulento manifiesto contra bretón, la ruptura con la escuela no significó para carpentier el rechazo de sus postulados. los artículos sobre pintores vanguardistas -francis picabia, alberto martini, per krogh, giorgio de chirico- que escribió para la revista ​social de la habana durante su estada en parís muestran ya un explícito reconocimiento al movimiento, ya influencias ideológicas o estéticas del mismo. mucho más tarde, en una entrevista de luis harss, carpentier expresa su deuda para con el surrealismo. así registra harss la evaluación que carpentier realizaba en los a propósito de la época de su estada en parís: lo carcomía el deseo de expresar el mundo de américa, de hacer que sus riachuelos perdidos afluyeran a la mar. agradece a los surrealistas su despertar del sueño milenario ; ellos le revelaron su verdadera imagen. los que habían viajado a américa, a méxico en particular, habían vuelto con flamantes noticias de las viejas civilizaciones. acaso el interés que sentían por lo primitivo no tardó en convertirse en una afectación, pero en él desencadenó un impulso atávico. (harss, ) la expresión es de carpentier, "problemática de la actual novela latinoamericana" en ​tientos y diferencias​ , buenos aires, calicanto, , p. . el énfasis es mío. revista de culturas y literaturas comparadas. volumen - año las teorías de bretón, la convivencia con el grupo surrealista en parís y, sobre todo, la vivencia del objeto surrealista dejaron profundas huellas en carpentier. al volver a américa, no solo le permitió percibir "escalas y categorías de la realidad" que habían permanecido antes ocultas, sino que le brindó los medios expresivos para plasmarlas artísticamente y superar así el nativismo de su primera novela , erigiéndose en "cronista de indias" de su continente, tal la función que el autor cubano asignaba al escritor hispanoamericano. en un trabajo publicado en analicé ​los manifiestos surrealistas de bretón con vistas a considerar su presencia en carpentier y llegué a la conclusión de que lo maravilloso surrealista puede ser considerado como punto de partida de lo real-maravilloso porque: ) el significado del término maravilloso en la estética de carpentier es el mismo que en los manifiestos de bretón; ) si bien en carpentier hay una mayor ponderación de la realidad, el mejor surrealismo no rechazó la realidad empírica sino que intentó superarla, revelando sus aspectos mágicos, su misterio; ) la revelación, tan importante para el escritor mágico-realista, era función esencial del poeta surrealista; ) aunque carpentier rechazó el método surrealista de acceso a la supra-realidad, descubrió las "inadvertidas riquezas de la realidad" americana a través de una percepción estética agudizada por la experiencia surrealista; ) la fe que supone la sensación de lo maravilloso para carpentier fue, también, un rasgo distintivo de la doctrina de bretón; ) la fe de carpentier, lo mismo que la de bretón, opera en un universo mágico donde las leyes de la lógica discursiva han perdido su vigencia (elgue ); ) el humor negro que aparece, por ejemplo, como estrategia discursiva en la primera página de ​el reino de este mundo, poniendo en relación las cabezas de cera que adornan la tienda del peluquero y las cabezas de terneros de la tripería contigua, fue un recurso utilizado por los surrealistas para criticar el mecanismo mental convencional, otorgando al contexto un carácter grotesco y alucinante que contribuye a la desrealización momentánea del objeto. para cerrar este primer apartado, quisiera citar a roberto gonzález echeverría, cuya opinión resulta esclarecedora de mi posicionamiento. escribe el crítico cubano-estadounidense: "hay dos vertientes del realismo mágico, a veces distinguibles por (…) dos rúbricas (…). la primera, realismo mágico, que surge del libro de roh, es la fenomenológica; la segunda, lo real maravilloso, de ascendencia surrealista, es la ontológica" ( ). -el campo de la pintura wilfredo lam ( - ) desde mi experiencia perceptiva, uno de los pintores cuya obra expresa con mayor cercanía la vivencia y la estética de lo real-maravilloso de carpentier es la de wilfredo lam. en efecto, su estilo híbrido está caracterizado, como expresé al referirme a “lo real-maravilloso”, por “la presencia de una naturaleza mimética y orgánica donde se confunden orden y grado de los objetos, plantas, animales y seres humanos”. lam nació en sagua la grande, una ciudad de provincia en el norte de la isla de cuba. su padre era un inmigrante chino y su madre era hija de un mulato cubano y de se trata de ​ecué-yamba-o​ , publicada en madrid en . a propósito de ella diría carpentier "al cabo de veinte años de investigaciones acerca de las realidades sincréticas de cuba, me di cuenta de que todo lo hondo, lo verdadero, lo universal, del mundo que había pretendido pintar en mi novela había permanecido fuera del alcance de mi observación". "problemática de la actual novela latinoamericana", p. y . cristina elgue-martini una congolesa que había sido esclava. su infancia se desarrolló, entonces, en un medio en el predominaba la etnia africana y la hibridación religiosa. a través de su madrina, que era una reconocida curadora y sacerdotisa de la santería, conoció de niño los ritos orishas africanos, que constituyeron un importante elemento en las primeras etapas de su construcción identitaria, que se expresaría, luego, fuertemente en su arte. establecido en la habana, lam estudió en la escuela de bellas artes y de allí pasó a madrid en , donde fue discípulo de fernando Álvarez de sotomayor, maestro de salvador dalí y, por entonces, director del museo del prado. en la década del , era ya evidente la impronta surrealista en la pintura de lam, pero también las huellas de matisse y de torres garcía, quien, a partir de , había entrado en contacto con las vanguardias, sobre todo a través del rafael barradas, cuyo “vibracionismo” ha sido considerado como variante del futurismo (battegazzore, ). por esa época, torres garcía estaba nuevamente en europa después de pasar casi dos años en nueva york y, entre y , ensayaría su “constructivismo temprano” (battegazzore, ), nuevo componente de esa conciencia en red de la europa vanguardista. en , una exposición itinerante de picasso fue inspiradora para lam, tanto estética como políticamente. establecido en parís ese mismo año, tuvo el apoyo de picasso a través de quien revalorizó su temprana vivencia del arte y la cultura africana. como en el caso de carpentier, entonces, la experiencia europea confirmó su vocación americana. en el mismo año, lam viajó a méxico donde estableció contactos con frida kahlo y diego rivera. por ese entonces se convirtió en artista consagrado. tuvo una exposición individual en la galerie pierre loeb de paris en y, el mismo año, su trabajo se expuso junto al de picasso en las paris galleries de nueva york. por efecto de la segunda guerra mundial, un importante diálogo estético-cultural tuvo como escenario al caribe. participaron de él claude levi-strauss, andré masson y andré bretón, cuyo poema “fata morgana”, escrito en marsella en , ilustró wilfredo lam. lam volvió a cuba a comienzos de la década de y leyó las teorías de carl jung, que se integraron como nuevo componente de su identidad americana. produjo, entonces, una de sus composiciones más destacadas, “la jungla” ( ), seguida de otras muy significativas como “la presencia eterna” y “arpa cardinal”. vemos en estas composiciones la "magia de la vegetación tropical, la desenfrenada creación de formas de nuestra naturaleza—con todas sus metamorfosis y simbiosis". estoy citando a carpentier cuando en el prólogo del ​reino de este mundo​ , caracteriza la maravillosa geografía americana. en una entrevista realizada en por el crítico max-pol fouchet, lam se expresó en términos que también recuerdan la necesidad que experimentaba carpentier por expresar su américa. decía lam en esa oportunidad: "quería de todo corazón pintar el drama de mí país y expresar en detalle el espíritu negro y la belleza del arte de los negros. de esta manera podía actuar como un caballo de troya del cual saldrían figuras alucinantes, capaces de sorprender y perturbar los sueños de los explotadores" (ctdo. en vicente n/a). la exposición retrospectiva de su obra organizada por el centro pompidou y la tate confirma que su arte es un componente ineludible del modernismo. conforme ​más de obras -pinturas, dibujos, fotografías, además de revistas y libros- integran la muestra que fue presentada entre septiembre de y febrero de en el centro pompidou de parís, que actualmente se expone en el reina sofía de madrid​ ​( de abril- de agosto de ) y será luego recibida por la tate modern de londres ​ ​( de septiembre al de enero de ) (“retrospectiva de lam en tres de los museos más importantes del mundo”). revista de culturas y literaturas comparadas. volumen - año explica catherine david, la curadora de la retrospectiva, ​el aporte de lam al modernismo “consistió en integrar a un espacio moderno que contribuyó a abrir -fue un formidable inventor de formas- una cantidad de elementos que nunca hubiesen entrado por sí solos: referencias a la cultura caribeña y figuras híbridas sumamente complejas” (“retrospectiva de lam en tres de los museos más importantes del mundo”). jackson pollock ( - ) quiero, ahora, establecer un diálogo entre las imágenes míticas pintadas por lam a su regreso a cuba con las producidas por jackson pollock por la misma época. pollock saltó a la fama con el famoso ​mural de - para peggy guggenheim. el mural revela las influencias más importantes de la formación del pintor hasta ese momento: los ritmos del pintor regionalista thomas hart benton, el trabajo de los muralistas mexicanos, la pintura sobre arena de los indios navajos, el psicoanálisis de jung -a quien pollock frecuentó a través de su psiquiatra joseph l. henderson-, el automatismo surrealista, a través sobre todo de joan miró e, indudablemente, la abstracción de pablo picasso, nunca demasiado alejada de lo figurativo. como en carpentier y lam, américa es un componente fundamental del arte de pollock. en , expresaba en una entrevista: siempre me ha impresionado la calidad plástica del arte de los indios americanos. los indígenas lograron la verdadera aproximación pictórica con su capacidad de lograr las imágenes apropiadas, y con su entendimiento de lo que constituye la verdadera materia objeto de la pintura. su color es esencialmente el oeste, su visión tiene la universalidad básica del verdadero arte. (emmerling ) me interesa detenerme en el concepto de “la universalidad básica del verdadero arte”. en los tres artistas objeto de mi análisis, el “universalismo” fue incorporado, sin duda, por la teoría y práctica de los surrealistas; pero en lam y pollock, este concepto se enriqueció a través de sus lecturas de jung. en el campo de la psicología, el referente tanto de lam como de pollock no fue freud, sino jung y su teoría de los arquetipos. en este sentido, el juicio de emmerling a propósito de pollock que cito a continuación, podría aplicarse también a lam: en el caso de pollock, al interés por la psicología profunda de jung se sumó su fascinación por cuadros que representan la unión anímica entre el ser humano y el animal. también en ese sentido, las características del arte de los indios del norte y centroamérica cobran una gran relevancia. desde el principio, pollock (…) se interesó por el papel del chamán, que sirve de mediador entre las esferas animal y humana. la grave, casi mortal enfermedad que debe padecer y de la que sale iluminado, lo capacita para tomar contacto con las dos esferas y transmitir una sabiduría más humana. la teoría de jung, según la cual un chamán experimenta uno o varios ciclos de nacimiento, muerte y reencarnación, fue uno de los pocos aspectos que pollock discutió con sus terapeutas ​. ( ) cabría señalar, para una mejor comprensión de los conceptos desarrollados, que, conforme a jung, los arquetipos universales son disposiciones preconscientes que permiten al ser humano reaccionar de una manera humana. al entrar en el campo de la conciencia, los potenciales creativos se actualizan como cristina elgue-martini el ​mural​ significó un cambio fundamental en la pintura estadounidense; para el crítico de arte clement greenberg “era lo más grande que los estados unidos habían producido hasta ese momento” (ctdo. en adams n/a). tanto la pintura de caballete como los conceptos de fondo y forma pertenecían definitivamente al pasado, según lo entenderían los miembros de la escuela de nueva york. de la misma época del ​mural es ​composition with pouring ii ( ), en la que pollock introduce una técnica: el ​pouring​ , que, si bien ya había sido utilizada por otros pintores, picabia por ejemplo, se volvería internacionalmente famosa, junto con el dripping​ , a través de sus composiciones. al tiempo que introducía estas técnicas, pollock ubicó sus lienzos en el suelo para poder derramar la pintura moviéndose alrededor de ellos. ​gothic ( ) es otra muestra interesante del nuevo arte abstracto del pintor, al que greenberg calificó como “aterrador, mórbido y extremo”, en referencia directa al título de esta obra (ctdo. en emmerling ). siguió la serie de los ​sonidos en el pasto y en un hito: ​full fathom five​ , cuyo título, que proviene de la canción de ariel de ​la tempestad, le fue sugerido por un vecino de long island, ralph manheim, traductor de carl gustav jung. según emmerling, “la creación del cuadro se suele relacionar a menudo con el libre fluir del inconsciente” ( ). ​cathedral y ​comet ( ) siguen la misma línea. ​ritmos de otoño ( ), en la que dominan los matices marrones, grises, negros y blancos, marca otro momento significativo. la década del no fue propicia para pollock. en la apreciación del público y de la crítica, su arte no habría superado los logros de la década anterior. el pintor murió en un accidente automovilístico en . conducía borracho. debía realizar una exposición individual en el moma, lo que se había transformado en una presión intolerable, ya que la inspiración parecía agotada y el oficio anulado por el alcoholismo. la muestra se transformó finalmente en retrospectiva. a manera de conclusión los diálogos transoceánicos planteados en el tratamiento de los textos de carpentier, lam y pollock han develado complejos procesos de transculturación, en los que las vanguardias europeas -especialmente el surrealismo-, la antropología y la psicología profunda resultan elementos insoslayables como potenciadores del distintivo carácter americano de las obras. obras citadas adams, henry. “decoding jackson pollock. did the abstract expressionist hide his name amid the swirls and torrents of a legendary mural?” en smithsonian magazine​ . nov. .​ ​digital. battegazzore, miguel, a. ​j. torres-garcía. la trama y los signos​ . montevideo: impresora gordon, . bretón, andré. ​manifiestos del surrealismo​ . madrid: guadarrama, . carpentier, alejo. ​el reino de este mundo​ . buenos aires: quetzal, . imágenes. se trata de “imágenes arquetípicas”. si bien hay muy pocos arquetipos básicos a nivel inconsciente, las imágenes que se conectan con estos arquetipos son infinitas. los arquetipos nos ligan con la especie, mientras que las imágenes arquetípicas a nivel consciente se relacionan con la cultura. revista de culturas y literaturas comparadas. volumen - año ______________. "problemática de la actual novela latinoamericana" en ​tientos y diferencias​ . buenos aires: calicanto, . - . elgue de martini, cristina. “andré bretón en dos narradores hispanoamericanos: alejo carpentier y enrique molina” en trinidad blanco de garcía ​et al. modernidad y literatura​ . córdoba, arg.: escuela de letras, facultad de filosofía y humanidades, universidad nacional de córdoba, . - . emmerling, leonhard. ​jackson pollock. - ​ . köln: taschen, . gonzález echeverría, roberto. "alejo carpentier" en roy, joaquín (comp). ​narrativa y crítica de nuestra américa​ . madrid: castalia, . - . harss, luis. ​los nuestros​ . buenos aires: sudamericana, . lévy-bruhl​,​ lucien. ​les fonctions mentales dans les sociétés inférieures​ . paris: librairie félix alcan, . vicente, Álex. "redescubrir a wilfredo lam". ​el país. ​ / / . digital “retrospectiva de lam en tres de los museos más importantes del mundo” en ​martí. arte y cultura​ . septiembre , . digital. cristina elgue-martini vis comput doi . /s - - - o r i g i n a l a r t i c l e ray geometry in non-pinhole cameras: a survey jinwei ye · jingyi yu © springer-verlag berlin heidelberg abstract a pinhole camera collects rays passing through a common d point and its image resembles what would be seen by human eyes. in contrast, a non-pinhole (multi- perspective) camera combines rays collected by different viewpoints. despite their incongruity of view, their images are able to preserve spatial coherence and can depict, within a single context, details of a scene that are simultaneously inaccessible from a single view, yet easily interpretable by a viewer. in this paper, we thoroughly discuss the design, modeling, and implementation of a broad class of non- pinhole cameras and their applications in computer graphics and vision. these include mathematical (conceptual) cam- era models such as the general linear cameras and real non-pinhole cameras such as catadioptric cameras and pro- jectors. a unique component of this paper is a ray geometry analysis that uniformly models these non-pinhole cameras as manifolds of rays and ray constraints. we also model the thin lens as a ray transform and study how ray geometry is changed by the thin lens for studying distortions and defo- cusing. we hope to provide mathematical fundamentals to satisfy computer vision researchers as well as tools and al- gorithms to aid computer graphics and optical engineering researchers. keywords camera models · ray geometry · thin lens · catadioptric imaging · computer vision · computer graphics · computational photography j. ye (�) · j. yu university of delaware, newark, usa e-mail: jye@cis.udel.edu introduction a pinhole camera collects rays passing through a common d point, which is called the center-of-project (cop). con- ceptually, it can be effectively viewed as a light-proof box with a small hole in one side, through which light from a scene passes and projects an inverted image on the opposite side of the box as shown in fig. . the history of pinhole cameras can be traced back to mo jing, a mohist philoso- pher in the fifth century bc in china who described a similar design using a closed room and a hole the wall. in the th century, persian scientist ibn al-haytham (alhazen) wrote about naturally occurring rudimentary pinhole cameras. in , niepce managed to take the first photograph using the pinhole camera obscura via lithography. today, the pinhole camera is serving as the most common workhorse for gen- eral imaging applications. the imaging quality of a pinhole camera relies heavily on choosing the proper sized pinhole: a small pinhole produces a sharp image but the image will be dimmer due to insuf- ficient light whereas a large pinhole generates brighter but blurrier images. to address this issue, lenses have been used for converging lights. the goal is to replace the pure pin- hole model with a pinhole-like optical model that can admit more light while maintaining image sharpness. for example, a thin, convex lens can be placed at the pinhole position with a focal length equal to the distance to the film plane in or- der to take pictures of distant objects. this emulates opening up the pinhole significantly. we refer to this thin lens-based pinhole approximation as pinhole optics. in computer vision and graphics, pinhole cameras are dominating imaging model for two main reasons. first, pin- hole geometry is rather simple. each pinhole camera can be uniquely defined by only three parameters (the position of cop in d). the pinhole imaging process can be decom- posed into two parts: projecting the scene geometry into rays mailto:jye@cis.udel.edu j. ye, j. yu fig. (a) a pinhole camera collects rays passing through a common d point (the cop). (b) an illustration of the pinhole obscura and mapping the rays onto the image plane and they can be uniformly described by the classic × pinhole camera matrix [ ]. under homogeneous coordinates, the imaging process is linear. second, in bright light, the human eyes act as a virtual pinhole camera where the observed images ex- hibit all characteristics as a pinhole image, e.g., points map to points, lines map to lines, parallel lines converge at a van- ishing point, etc. pinhole cameras are therefore also referred to as perspective cameras in the graphics and vision litera- ture. the pinhole imaging model, however, is rare in insect eyes. compound eyes, which may consist of thousands of individual photoreceptor units or ommatidia are much more common. the image perceived is a combination of in- puts from the numerous ommatidia (individual “eye units”), which are located on a convex surface, thus pointing in slightly different directions. compound eyes hence possess a very large view angle and greatly help detect fast move- ment. notice that rays collected by a compound eye will no longer follow pinhole geometry. rather, they follow multi- viewpoint or multi-perspective imaging geometry. the idea of non-pinhole imaging model has been widely adopted in art: artists, architects, and engineers regularly draw using non-pinhole projections. despite their incon- gruity of views, effective non-pinhole images are still able to preserve spatial coherence. pre-renaissance and post- impressionist artists frequently use non-pinhole models to depict more than can be seen from any specific view point. for example, the cubism of picasso and matisse [ ] can depict, within a single context, details of a scene that are simultaneously inaccessible from a single view, yet easily interpretable by a viewer. the goal of this survey is to carry out a comprehensive review on non-pinhole imaging models and their applications in computer graphics and vision. scope on the theory front, this survey presents a unique approach to systematically study non-pinhole imaging mod- els in the ray space. specifically, we parameterize rays to a d ray space using the two-plane parametrization ( pp) [ , ] and then study geometric ray structures of non- pinhole cameras in the ray space. we show that common non-perspective phenomenon such as reflections, refractions and defocus blurs can all be viewed as ray geometry trans- formations. further, commonly used non-pinhole cameras can be effectively modeled as special (planar) d manifold in the ray space. the ray manifold model also provides fea- sible solutions for the forward projection problem, i.e., how to find the projection from a d point to its corresponding pixel in a non-pinhole imaging system. on the application sides, we showcase a broad range of non-pinhole imaging systems. in computer vision, we dis- cuss state-of-the-art solutions that apply non-pinhole cam- eras for stereo matching, multi-view reconstruction, shape- from-distortion, etc. in computational photography, we dis- cuss emerging solutions that use the non-pinhole camera modelings for designing catadioptric cameras and projectors to acquire/project with a much wider field-of-view (fov) as well as various light field camera designs to directly acquire the d ray space in a single image. in computer graphics, we demonstrate using non-pinhole camera mod- els for generating panoramas, creating cubism styles, ren- dering caustics, faux-animations from still-life scenes, ren- dering beyond occlusions, etc. this survey is closely related to recent surveys on multi- perspective modeling and rendering [ ] and computational photography [ ]. yu et al. [ ] provides a general overview of multi-perspective cameras whereas we provide a compre- hensive ray-space mathematical model for a broader class of non-pinhole cameras. raskar et al. [ ] focuses mostly on computational photography whereas we discuss the use of conceptual and real non-pinhole cameras for applications in computer vision and computer graphics. further, our unified ray geometry analysis may fundamentally change people’s view on cameras and projectors. pinhole optics pinhole cameras predate modern history. geometrically, a pinhole camera collects rays passing through the cop. each pinhole camera, therefore, can be uniquely defined by only ray geometry in non-pinhole cameras: a survey three parameters (the position of cop). the pinhole imag- ing process can be decomposed into two parts: projecting the scene geometry into rays and mapping the rays onto the image plane. we refer to the first part as projection and the second as collineation. it has been shown that the projec- tion and collineation can be uniformly described by the clas- sic × pinhole camera matrix [ ], which combines six extrinsic and five intrinsic camera parameters into a single operator that maps homogeneous d points to a d image plane. these mappings are unique up to a scale factor, and similar models can be applied to describe orthographic cam- eras. in this section, we revisit the pinhole imaging process via a ray-space analysis. . pinhole in ray space . . ray space we use the two-plane parametrization ( pp) that is widely used in light field [ ] and lumigraph [ , ] for representing rays, as shown in fig. (a). under pp, a ray in free space is defined by its intersections with two parallel planes (Πuv and Πst ). usually, Πuv is chosen as the aperture plane (z = ) whose origin is the origin of the coordinate system. Πst is placed at z = and chosen to be the default image plane. all rays that are not parallel to Πuv and Πst will intersect the two planes at [u, v, ] and [s, t, ], respectively, and we use [u, v, s, t] for parameterizing each ray. . . pinhole ray geometry let us consider the pinhole model in ray space. by def- inition, all rays in a pinhole camera pass through a com- mon d point, i.e., the cop ċ = [cx , cy , cz]. for each ray r = [u, v, s, t], there exist some λ that satisfies λ[s, t, ] + ( − λ)[u, v, ] = [cx , cy , cz] ( ) we have λ = cz and{ czs + ( − cz)u = cx czt + ( − cz)v = cy ( ) this indicates that rays in a pinhole camera obey two linear constraints, one in s and u and the other in t and v. we call them the pinhole ray constraints. if we divide both sides of eq. ( ) by cz and let ċ go to infinity, we have { s − u = dx t − v = dy ( ) i.e., all rays have identical direction [dx , dy , ] and the cam- era degenerates to an orthographic camera. we call eq. ( ) the orthographic ray constraints; they are also linear in s − u and t − v. the pinhole and orthographic models have many nice properties that are useful to computer graphics and com- puter vision applications. for instance, all lines in the scene are projected to lines on the image. similarly, a triangle in d space is projected as a triangle on the pinhole or ortho- graphic image. thus, by representing the scene geometry using triangles, one can efficiently render the entire scene by projecting the triangles onto the image plane and then rasterizing the triangles in the image space. . . slit ray geometry more general ray configurations, however, do not pass through a common d point. to relax the pinhole con- straints, we study rays that pass through a line or slit l. we consider the following two cases: ( ) if l is parallel to Πuv and Πst , we can represent it with a point ṗ = [px , py , pz] on l and its direction [dx , dy , ]. if a ray r = [u, v, s, t] intersects l, there exist some λ and λ that satisfy λ [s, t, ] + ( − λ )[u, v, ] = [px , py , pz] + λ [dx , dy , ] ( ) it is easy to see that λ = pz and we can obtain a linear constraint in [u, v, s, t] as − pz dx u − − pz dy v + pz dx s − pz dy t + py dy − px dx = ( ) yu and mcmillan [ ] show that it is equivalent to a general linear constraint au + bv + cs + dt + e = where a/b = c/d. we call this parallel slit constraint. ( ) if l is not parallel to Πuv and Πst , it then can be di- rectly parameterized by a ray under pp as [u , v , s , t ]. all rays r = [u, v, s, t] that intersect with l should satisfy λ [s, t, ] + ( − λ )[u, v, ] = λ [s , t , ] + ( − λ )[u , v , ] ( ) we have λ = λ and s − s t − t = u − u v − v ( ) this is a bilinear constraint that we call non-parallel slit con- straint. in the following sections, we will use the parallel and non-parallel slit constraints to model a broad class of non- pinhole imaging systems. j. ye, j. yu fig. (a) two-plane parametrization: a ray is parameterized by its intersections with two parallel planes Πuv (z = ) and Πst (z = ). (b) ray transformation after passing through a thin lens: the thin lens works as a shearing operator . the thin lens operator recall that practical pinhole cameras are constructed by us- ing a thin lens in order to collect more lights. although real lenses are typically a complex assembly of multiple lenses, they can still be effectively modeled using the thin lens equation: a + b = f ( ) where a is the object distance; b is the image distance and f is the thin lens focal length. the thin lens can be viewed as a workhorse that maps each incident ray r = [u, v, s, t] approaching the lens to the exit ray r′ = [u′, v′, s′, t ′] towards the sensor. ng [ ] and ding et al. [ ] separately derived the thin lens opera- tor (tlo) to show how rays are transformed after passing through a thin lens. by choosing the aperture plane as Πuv at z = and the image sensor plane as Πst at z = , we have u′ = u, v′ = v. using eq. ( ), it can be shown that the thin lens operator l transforms the ray coordinates as [ u ′ , v ′ , s ′ , t ′] = l([u, v, s, t]) = [ u, v, s − f u, t − f v ] ( ) this reveals the thin lens l behaves as a linear, or more precisely, shear operator on rays, as shown in fig. (b). for a toy case study, let us investigate how a thin lens transforms a set of incident rays that follow pinhole ge- ometry. assume the incident rays originate from the cop ċ = [cx , cy , cz]. by applying tlo (eq. ( )) to the pinhole constraints (eq. ( )), we obtain a new pair of constraints for the exiting rays [u′, v′, s′, t ′] as ⎧⎨ ⎩ czs ′ + ( − cz + cz · f )u′ = cx czt ′ + ( − cz + cz · f )v′ = cy ( ) if ċ does not lie on the focal plane Πl− of the lens at the world side (cz �= −f ), then eq. ( ) can be rewritten as⎧⎨ ⎩ f cz f +cz s ′ + ( − f cz f +cz )u ′ = f cx f +cz f cz f +cz t ′ + ( − f cz f +cz )v ′ = f cy f +cz ( ) therefore, the exiting rays follow a new set of pinhole con- straints with the new cop at f f +cz [cx , cy , cz]. if ċ lies on Πl− (cz = −f ), then eq. ( ) degenerate to the orthographic constraints:⎧⎨ ⎩ s − u = − cx f t − v = − cy f ( ) in this case, all exiting rays correspond to an orthographic camera with direction [− cx f , − cy f , ]. the results derived above are well-known as they can be directly viewed as the image of a d point through the thin lens. nevertheless, for more complex cases when the inci- dent rays do not follow pinhole geometry, the tlo analysis is crucial for modeling the exit ray geometry [ ]. this case study also reveals that all rays emitting from a d scene point ċ will generally converge at a different d point ċ′ through the thin lens. the cone of rays passing through ċ′ will therefore spread onto a disk of pixels on the sen- sor. this process is commonly described using the point spread function (psf), i.e., the mapping from a d point to a disk of pixels. as shown in fig. , assuming that the sensor moves Δz away from z = c′z and the lens has circu- lar aperture with diameter d, then the psf is a disk of size dp = d |Δz|c′z . non-pinhole imaging models more general camera models do not follow pinhole camera geometry, i.e., not all rays collected by the camera need to pass through a common point. such cameras are often re- ferred to as non-pinhole cameras. in contrast to pinhole and ray geometry in non-pinhole cameras: a survey orthographic cameras, which can be uniformly described us- ing the × camera matrix, non-pinhole camera models are defined less precisely. in practice, many non-pinhole camera models are defined by constructions. by this we mean that a system or process is described for generating each specific class but there is not always a closed-form expression for the projection transformation. in this section, we apply pinhole constraints and slit constraints (parallel and non-parallel) to study the ray properties in various non-pinhole camera mod- els. . classical non-pinhole cameras pushbroom cameras, consisting of a linear sensor, are rou- tinely used in satellite imagery [ ]. the pushbroom sensor is mounted on a moving rail, and as the platform moves, the view plane sweeps out a volume of space and forms a push- broom image on the sensor. rays collected by a pushbroom camera should satisfy two constraints: ( ) the slit constraint, where the slit is the motion path of the pushbroom sensor; ( ) all the sweeping rays are parallel to some plane that is perpendicular to the slit. assume the common slit is par- allel to Πuv and Πst and we parameterize it with a point [x , y , z ] on the slit and the slit’s direction [dx , dy , ], the two constraints for all rays [u, v, s, t] captured by a pushb- room camera can be formulated as ⎧⎨ ⎩ −z dx u − −z dy v + z dx s − z dy t + y dy − x dx = [s − u, t − v, ] · [dx , dy , ]t = ( ) fig. the thin lens maps a d scene point ċ to ċ′. by moving the sensor Δz away from z = c′z, ċ′ spreads onto a psf with size dp where the first constraint is the parallel slit constraint and the second corresponds to the parallel sweeping planes, both lin- ear. in practice, a pushbroom image can be synthesized by moving a perspective camera along a linear path and assem- bling the same column of each perspective image as shown in fig. (a) and (b). another popular class of non-pinhole cameras are the xslit cameras. an xslit camera has two oblique (neither parallel nor coplanar) slits in d space. the camera col- lects rays that simultaneously pass through the two slits and projects them onto an image plane. if we choose the parametrization plane parallel to both slits, rays in an xs- lit camera will then satisfy two parallel slit constraints, i.e., two linear constraints. similar to pushbroom images, xslit images can also be synthesized using images captured by a moving pinhole camera. zomet et al. [ ] generated xslit images by stitching linearly varying columns across a row of pinhole images, as shown in fig. (c) and (d). . general non-pinhole cameras the analysis above reveals that pinhole, orthographic, push- broom, and xslit all correspond to d manifolds in the ray space (since they are subject to two linear ray constraints). this is not surprising as a general imaging process entails mapping d geometry onto a d manifold of rays, i.e., each pixel [x, y] maps to a ray. therefore a general non-pinhole camera can be viewed as a d ray manifold Σ : Σ(x, y) = [u(x, y), v(x, y), s(x, y), t (x, y)] ( ) to analyze ray geometry, one then approximate the local behavior of the rays by computing the tangent plane about any specified ray r . the tangent plane can be expressed as two spanning vectors d and d by taking the partial deriva- tives of [u, v, s, t]: d = [ux , vx , sx , tx ], d = [uy , vy , sy , ty ] ( ) this is analogous to modeling a curved d surface us- ing local tangent planes. a local ray tangent plane hence can then be modeled by three generator rays: r , r + d and r + d . fig. pushbroom and xslit. (a) the stationary column sampling routine for synthesizing a pushbroom panorama (b). (c) the linearly varying column sampling routine for synthesizing an xslit panorama (d) (courtesy of steve seitz) j. ye, j. yu table characterizing general linear cameras by characteristic equation characteristic equation solutions solution solution ∞ solutions a �= xslit pencil/pinholea bilinear ∅ a = ∅ pushbroom twisted/ortho.a epi aa glc satisfying edge-parallel condition is pinhole (a �= ) or orthographic (a = ) fig. general linear camera models. (a) a pinhole camera. (b) an orthographic camera. (c) a pushbroom. (d) an xslit camera. (e) a pencil camera. (f) a twisted orthographic camera. (g) a bilinear camera. (h) an epi camera. see sect. . . for detailed discussions on each glc . . general linear cameras (glc) to study ray geometry of local ray tangent plane, yu and mcmillan [ ] developed a new camera model called the general linear camera (glc). glcs are d planar ray manifolds which can apparently describe the traditional pin- hole, orthographic, pushbroom, and xslit cameras. a glc is defined as the affine combination of three gen- erator rays ri = [ui , vi , si , ti ], i = , , : r = α[u , v , s , t ] + β[u , v , s , t ] + ( − α − β)[u , v , s , t ] ( ) for example, in the ray tangent plane analysis, the three ray generators are chosen as r , r + d and r + d . to determine the type of the non-pinhole camera for any glc specification, they further derived a ray characteris- tic equation that computes how many singularities (lines or points) that all rays in the glc can pass through: ∣∣∣∣∣∣ λ · s + ( − λ) · u λ · t + ( − λ) · v λ · s + ( − λ) · u λ · t + ( − λ) · v λ · s + ( − λ) · u λ · t + ( − λ) · v ∣∣∣∣∣∣ = ( ) equation ( ) yields a quadratic equation of the form aλ + bλ + c = where a = ∣∣∣∣∣∣ s − u t − v s − u t − v s − u t − v ∣∣∣∣∣∣ , c = ∣∣∣∣∣∣ u v u v u v ∣∣∣∣∣∣ , b = ∣∣∣∣∣∣ s − u v s − u v s − u v ∣∣∣∣∣∣ − ∣∣∣∣∣∣ t − v u t − v u t − v u ∣∣∣∣∣∣ ( ) an edge parallel condition is defined to check if all three pairs of the corresponding edges of the u − v and s − t tri- angles formed by the generator rays are parallel: si − sj ti − tj = ui − uj vi − vj i, j = , , and i �= j ( ) given three generator rays, its glc type can be de- termined by the a coefficient and the discriminant Δ = b − ac of its characteristic equation and the edge par- allel condition, shown in table . yu and mcmillan [ ] have shown that there are precisely eight types of glc as shown in fig. : in a pinhole camera, all rays pass through a single point; in an orthographic camera, all rays are parallel; ray geometry in non-pinhole cameras: a survey fig. curved line images on specular window surfaces: the two images of . m × m near-flat windows are captured from m away. images of straight lines far away form interesting conic patterns table conic types observed in general linear cameras glc type pinhole ortho. xslit pushbroom pencil twisted bilinear determinant Δ = Δ = Δ > Δ > Δ = Δ = Δ < conic type line line hyperbolae hyperbolae parabola parabola ellipse in a pushbroom camera [ ], all rays lie on a set of parallel planes and pass through a line; in an xslit camera [ ], all rays pass through two non-coplanar lines; in a pencil cam- era, all coplanar rays originate from a point on a line and lie on a specific plane through the line; in a twisted ortho- graphic camera, all rays lie on parallel twisted planes and no rays intersect; in a bilinear camera [ ], no two rays are coplanar and no two rays intersect; and in an epi camera, all rays lie on a d plane. to find the projection of a d point in a glc, one can combine the glc constraints with pinhole constraints. for example, considering an xslit camera that obeys two paral- lel slit constraints (eq. ( )) derived in sect. . . . rays pass- ing through the d point obeys another two pinhole linear constraints (eq. ( )). we therefore can uniquely determine the ray from the xslit that passes through the d point. to calculate the projection of a d line in the xslit camera, one can compute the projection of each point on the line. ding et al. [ ] show that line projections can only be lines or con- ics, as shown in fig. . the complete classification of conics that can be observed by each type of glc is enumerated in table . . . case study : reflection on curved mirrors to demonstrate how to use the glc analysis to model general non-pinhole cameras, let us look at a special non- pinhole camera, a catadioptric camera that combines a pin- hole camera and a curved mirror. given the camera position and the mirror surface, we can map each reflected ray into the ray space as [u, v, s, t]. assuming the d surface is of form z(x, y), the reflected ray in [u, v, s, t] can be computed via the reflection constraint: r = i − (n̂ · i)n̂ ( ) where r = [rx , ry , rz] is the reflected ray; i is the incident ray and n̂ is unit normal that can be computed by normaliz- ing [−zx , −zy , ]. if we choose Πuv (z = ) to contain the surface point (x, y, z(x, y)) and tangential to the surface and set Πst as z = , we obtain [u, v, s, t] of the reflected ray as [u, v, s, t] = [ x − z · rx rz , y − z · ry rz , x − (z − ) · rx rz , y − (z − ) · ry rz ] ( ) all variables r , z, u, v, s and t are functions in x and y, hence, the set of reflection rays from the d surface form a d parametric ray manifold in x and y. we can then use the tangent glc analysis (sect. . . ) to determine the type of local non-pinhole camera model. using this approach, yu and mcmillan [ ] have shown that all local reflections ob- served by a pinhole or an orthographic camera can be char- acterized as only be xslit, pushbroom, pinhole, or ortho- graphic, all are special cases of xslit. the two slits corre- spond to the two reflection caustic surfaces and provide a special set of rulings on the surface. these rulings deter- mine which rays lie on the local tangent glc and the local distortions seen in the reflection. . . case study : d surfaces it is also possible to convert a d surface to a d ray man- ifold. yu et al. [ ] proposed a normal-ray model to repre- sent surfaces that locally parameterize the surface about its normal based on focal surface approximation, as shown in fig. (a)–(d). given a smooth surface s(x, y), at each ver- tex ṗ , we orient the local frame to align z = with the tan- gent plane at ṗ . we further assume ṗ is the origin of z = plane and set Πuv , Πst at z = and z = , respectively. under this parametrization, normal rays can be mapped as n = [u, v, s, t]. the tangent plane can then be represented by a glc with three rays: n, n + nx and n + ny . by using the glc analysis, one can compute the two slits for each normal ray glc from the characteristic equation. yu et al. [ ] have shown that the two slits are perpendicular j. ye, j. yu fig. estimating focal meshes using the normal ray model. (a) we orient the local frame to align Πuv (z = ) with the surface tangent plane at ṗ . (b) we choose the second plane Πst to be z = . each neighboring normal ray can be parameterized by as [u, v, s, t]. (c) fo- cal surfaces (curve) formed by the foci of the normal rays of a parabolic surface. (d) neighboring normal rays are constrained by the slits (red) that rule the focal surfaces (blue). (e) the color-coded mean curvature image illustrates that the normal ray model (right) is less sensitive to mesh connectivity than [ ] (left), especially shown on the wings of the gargoyle model. (f) left: the estimated min principal curvature di- rection using normal ray model. right: compare the normal ray model with [ ] on different parts of the model to each other and rule the focal surfaces. swept by the loci of the principal curvatures’ radii, the focal surfaces encapsulate many useful geometric properties of the corresponding ac- tual surface. for example, normals of the actual surface are tangent to both focal surfaces and the normal of each focal surface indicates a principle direction of the corresponding point on the original surface. in fact, each slit is tangential to its corresponding focal surface. since the two focal sur- faces are perpendicular to each other, one slit is parallel to the normal of the focal plane that the other slit corresponds to. therefore, the two slits give us the principal directions of the original surface. besides, the depths of the slits/focal sur- faces, computed as the roots of the characteristic equation, represent the principle curvatures of the surface. in fig. (e) and (f), we shows two results of estimated mean curvature and min principle curvature using normal ray model, com- paring to the voronoi-edge algorithm [ , ]. non-pinhole camera through the thin lens next, we review how ray geometry transforms through the thin lens. a typical example is reflections observed by a camera with a wide aperture. . glc through a thin lens ding et al. [ ] studied the transformation for glcs through a thin lens. to reiterate, recall that a glc defined by the affine combination of three generator rays and the thin lens operator l(◦) is a linear operator, therefore the affinity of the glc will be preserved under the thin lens operator, i.e., l(r) = l(αr + βr + ( − α − β)r ) = αl(r ) + βl(r ) + ( − α − β)l(r ) ( ) equation ( ) reveals that the exit rays form a new glc where the three new generator rays are l(r ), l(r ), and l(r ). . slit-direction duality to determine the type of exit glcs transformed by thin lens, it is important to investigate the duality between slits and directions, which can be derived by applying tlo (eq. ( )) on the slit ray constraint (parallel or non-parallel). if the slit does not lie on the focal plane Πl− (z = −f ) of the lens at the world side, we consider the incident rays in the following two cases: ray geometry in non-pinhole cameras: a survey fig. slit-direction duality. (a) a pushbroom camera with a slit at focal length transforms to another pushbroom camera with a different slit at focal length. (b) a pencil camera transforms to twisted orthographic camera table general linear camera transformations through a thin lens incident glc exit glc xslit: all rays passing through two slits l and l l or l lies on Πl−: pushbroom neither slits lies on Πl−: xslit pushbroom: collect rays parallel to some plane Π and passing through a slit l l lies on Πl−: pushbroom l does not lie on Πl−: xslit pinhole: all rays passing through cop ċ ċ lies on Πl−: orthographic ċ does not lie on Πl−: pinhole pencil: collect rays on a set of non-parallel planes that share a line l l lies on Πl−: twisted orthographic l does not lie on Πl−: pencil bilinear bilinear orthographic pinhole twisted orthographic pencil ( ) the slit parallel to Πl− is parameterized by a point [px , py , pz] and direction [dx , dy , ]. since pz �= −f one can combine the parallel slit ray constraint (eq. ( )) with tlo as − p ′z dx u ′ − − p ′ z dy v ′ + p ′ z dx s ′ − p ′ z dy t ′ + p ′y dy − p ′ x dx = ( ) where [p ′x , p ′y , p ′z] = ff +pz [px , py , pz]. therefore all exit rays pass through a new slit parameterized by [p ′x , p ′y , p ′z] and its direction [dx , dy , ]. ( ) the slit is not parallel to Πl−. in this case, one can apply the tlo on the bilinear non-parallel slit ray constraint (eq. ( )) to obtain a new constraint for [u′, v′, s′, t ′] as u′ − u v′ − v = s′ − s + u f t ′ − t + v f ( ) which is also bilinear constraint that indicates that all exit rays will pass through another slit [u , v , s − u f , t − v f ]. these derivations show that all rays that pass through a slit not lying on Πl− will be mapped to exit rays through a new slit at the other side of the lens. we call it the slit-slit duality(see fig. (a)). if the slit lies on Πl− (pz = −f ), the linear slit con- straint can be reformulated as the following by applying tlo: [ s ′ − u′, t ′ − v′, ] · [−f dy , f dx , py dx − px dy ]t = ( ) it reveals that all exit rays are orthogonal to a vector n = [−f dy , f dx , py dx − px dy ], which is the normal direction of the plane formed by the slit and the lens optical center. therefore, for rays passing through a slit lying on Πl−, exit rays correspond to directions. we call it the slit-direction duality, as shown in fig. (b). as a reciprocity of the analysis for incident rays through a slit lying on Πl−, for those rays parallel to some plane Π through the lens optical center, all exit rays will pass through a slit parallel to pp and lying on the focal plane Πl+ of the lens at the sensor side. furthermore, the slit can be found by intersecting Π with Πl+. this is called the direction- slit duality. the complete glc transformations are listed in table . . case study : defocus analysis in catadioptric cameras based on the glc-tlo analysis, ding et al. [ ] show- cased using the theory for characterizing and compensating catadioptric defocusing. they use the ray spread function (rsf) to describe how a general set of incident rays spread to pixels on the sensor. the classical psf is a special case of the rsf when the incident rays are from a pinhole camera. j. ye, j. yu fig. the formation of rsf in a catadioptric imaging system: light from a scene point is reflected off the mirror, truncated by the thin lens aperture, and finally received by the sensor forming the rsf assume a scene point ṗ and a curved mirror surface z(x, y), the rsf of ṗ is formed by rays emitting from ṗ reflected off the mirror, then transmitted through the lens and finally received by the sensor, as shown in fig. . they then formulate the rsf by composing the thin lens operator l(◦), the aperture operator a(◦), and the reflection operator r(z(x, y), ṗ ). notice the order between l(◦) and a(◦) is interchangeable: rsf(ṗ ) := k(s, t) = l(a(r(z(x, y), ṗ ))) = a(l(r(z(x, y), ṗ ))) = a(l(u(s, t), v(s, t))) = { nil, g(u(s, t), v(s, t)) > l(u(s, t), v(s, t)), g(u(s, t), v(s, t)) ≤ ( ) where u(s, t) and v(s, t) are determined by the mirror geom- etry, and g(u, v) = u + v − d corresponds to a circular aperture of diameter d. using the reflection analysis in sect. . . , one can de- compose each local reflection patch as an xslit camera. it is particulary useful to analyze the rsf of an xslit glc. according to the glc-tlo transformation, the exit glc is also an xslit with two slits l and l lying on z = λ and z = λ , respectively. to simplify the analysis, let us consider the special case when the two slits are orthogonal to each other. one can further rotate the coordinate system such that the slit directions are aligned with the u, v axis. the two slits constraints can then be rewritten as { ( − λ )u′ + λ s′ = ( − λ )v′ + λ t ′ = =⇒ ⎧⎨ ⎩ u′ = s′ − λ v′ = t ′ − λ ( ) substituting eq. ( ) into the aperture constraint g(u, v), we have ( s′ λ − ) + ( t ′ λ − ) ≤ ( d ) ( ) equation ( ) indicates that the rsf of a glc is of ellip- tical shape and the major and minor radii of the ellipse are | λ − | and | λ − |. the specific shape and orientation of the ellipse varies along with the depths of the two slits λ and λ . various cases for different λ and λ combinations are now enumerated and shown in fig. : . when λ λ λ +λ > , the major radius is | λ − | · d , and the major axis is parallel to the direction of the slit l . . when λ = , the minor radius | λ − | · d = , i.e., the rsf degenerates into a line segment parallel to slit l , and the length of the line segment is | λ − | · d . . when λ λ λ +λ = , the rsf shape degenerates into a cir- cular disk, and the radius of the circle is | λ −λ λ +λ | · d . . when λ λ λ +λ < , the major radius is | λ − | · d , and the major axis is parallel to the direction of the slit l . . when λ = , the minor radius | λ − | · d = , i.e., the rsf degenerates into a line segment parallel to the slit l , and the length of the segment is | λ − | · d . the analysis reveals that the rsf caused by a d point in a catadioptric mirror can only be an ellipse, a circle, or a line segment. furthermore, the shape of the rsf depends on the location of the scene point, size of the aperture and the camera’s focus setting. applications of synthetic non-pinhole cameras although many of the non-pinhole cameras discussed above are synthetic models, they have broad applications in graph- ics and vision. ray geometry in non-pinhole cameras: a survey fig. various rsf shapes: the rsf shape depends on the distance w between the aperture and the sensor planes fig. multi-perspective panorama from disney’s pinocchio (courtesy of disney) . synthesizing panoramas a non-pinhole camera can combine patches from multi- ple pinhole cameras into a single image to overcome the fov limits. in image-based rendering, pushbroom and xs- lit panoramas can be synthesized by translating a pinhole camera along the image plane and then stitching specific columns from each perspective image. pushbroom image assembles the same column [ ] whereas the xslit lin- early varies the column [ ]. the synthesized panoramas can exhibit image distortions such as apparent stretching and shrinking, and even duplicated projections of a single point [ , ]. to alleviate the distortions, agarwala et al. [ ] constructed panorama using arbitrarily shaped regions of the source images taken by a pinhole camera moving along a straight path, instead of selecting simple strips. the re- gion shape in each perspective image is carefully chosen by using markov random field (mrf) optimization based on various properties that the panorama desires. instead of translating the camera planarly, shum and szeliski [ ] cre- ated panorama on a cylindrical manifold by panning a pin- hole camera around its optical center. they project the per- spective images to a common cylinder to combine the final panorama. peleg et al. [ ] proposed a mosaicing method for more general camera motion. they first determine the projection manifolds according to the camera motion and then warp the source images onto the manifolds to stitch the panorama. non-pinhole camera models are also widely used for cre- ating computer generated panoramas. the disney an- imation pinocchio [ ] opens with a virtual camera flying over a small village. instead of traditional panning, the cam- era rotates at the same time, creating astonishing d ef- fect via d painting. in fact, the shot was made by drawing a panoramic view with “warped perspective” as shown in fig. and then showing only a small clip at a time. wood et al. [ ] proposed to create similar cel animation effect from d models. they combined elements of multiple pin- hole strips into a single image using a semi-automatic im- age registration process. their method relies on optimization techniques as well as optical flow and blending transitions between views. popescu et al. [ ] proposed the graph camera for gen- erating a single panoramic image that simultaneously cap- tures/renders regions of interest of a d scene from dif- ferent perspectives. conceptually, the graph camera is a combination of different pinhole cameras that sample the scene. a non-perspective panorama can then be generated j. ye, j. yu fig. non-perspective images. (a) nusch eluard by pablo picaso. (b) a multi-perspective image rendered using glc framework [ ]. (c) extracted images from a faux-animation generated by [ ]. the source images were acquired by rotating a ceramic figure on a turntable. multi-perspective renderings were used to turn the head and hind quarters of the figure in a fake image-based animation by elaborately stitching the boundary of multiple pinhole images. the viewing continuity with minimum redundancy is achieved through a sequence of pinhole frustum bending, splitting and merging. the panoramic rendering can then be used in d scene exploration, summarization and visualiza- tion. . non-photorealistic rendering rendering perspectives from multiple viewpoints can be combined in ways other than panoramas. by making sub- tle changes in viewing direction across the imaging plane it is possible to depict more of scene than could be seen from a single point of view. such images differ from panoramas in that they are intended to be viewed as a whole. neo-cubism is an example. many of the works of picasso are examples of such non- perspective images. figure (a) and (b) compare one of picasso’s paintings with an image synthesized using the glc framework [ ]. starting from a simple layout, it achieves similar multi-perspective effects. it is also possible to use multi-perspective rendering to create fake or faux- animations from still-life scenes. this is particularly useful for animating image-based models. figure (c) show three frames from a synthesized animation, each of which cor- responds to a multi-perspective image rendered from a d light field. zomet [ ] used a similar approach by using a single xslit camera to achieve rotation effects. mei et al. [ ] defined an occlusion camera that can sam- ple visible surfaces as well as occluded ones in the refer- ence view, to allow re-rendering new views with correct oc- clusions. their occlusion camera bends the rays towards a central axis (the pole) to sample the hidden surfaces in the reference view. a d radial distortion centered at the pole allows the occlusion camera to see around occluders along the pole. such distortion pulls out hidden samples according to their depth: the larger the depth, the larger the sample will be displaced. therefore, samples that are on the same ray in a conventional perspective camera are separated to different locations in the distorted occlusion camera image according to their depth. in this way, hidden samples that are close to the silhouette becomes visible in the occlusion camera ref- erence image. hsu et al. [ ] recently proposed a multi-scale render- ing framework that can render objects smoothly at multiple levels of details in a single image. they set up a sequence of pinhole cameras to render objects at different scales of interest and use a user-specified mask to determine regions to be displayed in each view. the final multi-scale image is rendered by reprojecting the images of multi-scale cameras to the one with the largest scale and use bezier curve-based non-linear ray casting to ensure coherent transition between each scale view. their technique can achieve focus plus con- text visualization and is useful in scientific visualization and artistic rendering. . stereo and d reconstruction traditional stereo matching algorithms for pinhole cam- eras have also been extended to non-pinhole geometry. seitz [ ] and pajdla [ ] independently studied all possi- ble non-pinhole camera pairs that can have epipolar geome- try. their work suggests that only three varieties of epipo- ray geometry in non-pinhole cameras: a survey fig. epsilon stereo matching on two xslit cameras. from top to bottom: (a) shows one of the two xslit images; (b) shows the ground truth depth map; (c) shows the recovered disparity map by treating the two images as a stereo pair and applying the graph cut algorithm; (d) shows the horizontal disparity map recovered by the epsilon stereo mapping algorithm lar geometry exist: planes, hyperboloids, and hyperbolic- paraboloids, all corresponding to doubly ruled surfaces. pe- leg et al. [ ] stitched the same column of images from a rotating pinhole camera to form a circular pushbroom. they then fused two oblique circular pushbrooms to synthesize a stereo panorama. feldman et al. [ ] proved that a pair of xslit cameras can have valid epipolar geometry if they share a slit or the slits intersect in four pairwise distinct points. however, seitz and pajdla’s results also reveal that very few varieties of multi-perspective stereo pairs exist. ding and yu [ ] introduced a new near stereo model, which they call epsilon stereo pairs. an epsilon stereo pair consists of two non-pinhole images with a slight vertical parallax. they have shown that many non-pinhole camera pairs that do not satisfy the stereo constraint can still form epsilon stereo pairs. they then have introduced a new ray-space warping algorithm to minimize stereo inconsistencies in an epsilon pair using non-pinhole collineations (homograph) which makes epsilon stereo model a promising tool for synthesiz- ing close-to-stereo fusions from many non-stereo pairs, as shown in fig. . most recently, kim et al. [ ] presented a method for generating near stereoscopic view by cutting the light field. they compute the stereoscopy as the optimal cut through the light field under the depth budget, maximum disparity gradient, and desired stereoscopic baseline. a special class of non-pinhole cameras are reflective and refractive surfaces. one can then view the surface recon- struction problem as the camera calibration problem. ding et al. [ , ] proposed a shape-from-distortion framework for recovering specular (reflective/refractive) surfaces by an- alyzing the local reflection glcs and curved line images. in [ ], they focused on recovering a special type of sur- face: near-flat surfaces such as the windows and relatively flat water surfaces. such surfaces are difficult to model be- cause lower-order surface attributes provide little informa- tion. they divide the specular surface into piecewise trian- gles and estimate each local reflection glcs for recovering high-order surface properties such as curvatures. in [ ], the authors have further shown how to analyze the curving of lines to recover the glc parameters and then the surface attributes. j. ye, j. yu fig. (a) a typical catadioptric image with wide fov. (b) forward projection: given a scene point p , the mirror surface and the camera, find its projection in the viewing camera after reflection. it is crucial to find the reflection point on the mirror surface q real non-pinhole imaging systems in previous sections, we have discussed many conceptual non-pinhole camera models. in this section, we discuss a number of real non-pinhole cameras that are constructed by modifying a commodity camera using special optical units. . general catadioptric cameras as mentioned above, the most commonly used class of “real” non-pinhole/multi-perspective cameras are catadiop- tric cameras. these cameras put a regular pinhole camera in front of a curved mirror for acquiring images with a much wider fov, as shown in fig. (a). a large fov can benefit many applications such as video surveillance, autonomous navigation, obstacle avoidance and panoramic image acqui- sition. the core problem in catadioptric cameras is to solve for forward projection, i.e., given the view camera (a pinhole), the curved mirror, and a d scene point, how to find the projection of the point in the view camera, as shown in fig. (b). to resolve this problem, it is crucial to find the re- flection point on the mirror in order to trace the ray path from the scene point to the cop of the pinhole camera. this is a classical inverse problem and for complex catadioptric sys- tems with multiple viewpoints, closed-form solution does not exist. we review recent attempts to address the forward projection problem using ray geometry analysis. centric catadioptric cameras the simplest catadioptric cameras are designed to maintain a single viewpoint, i.e., all the projection rays intersect at one common point (the effective viewpoint), in order to generate perspectively cor- rect images from sections of the acquired image. such sys- tems are commonly referred to centric catadioptric cameras. since all projection rays from scene points form a same pin- hole camera about the effective viewpoint before reflection, we can easily resolve the forward projection problem by projecting the d point in the virtual pinhole camera. nayar and baker [ , ] analyzed all possible classes of centric catadioptric systems. they derived a fixed viewpoint constraint that requires all projection rays passing through the effective pinhole of the camera (after reflection) would have passed through the effective viewpoint before reflected by the mirror surface. since the mirror is rotationally sym- metric, one can then consider this problem in d by tak- ing a slice across the central axis. assuming that the ef- fective viewpoint is at origin [ , ]; the effective pinhole is at [ , c] and the mirror surface is of form z(r) = z(x, y), where r = √ x + y , the constraint can then be written as a quadratic first-order ordinary differential equation: r(c − z) ( dz dr ) − (r + cz − z ) dz dr + r( z − c) = ( ) the solution to eq. ( ) reveals that only d mirrors swept by conic sections around its central axis can satisfy the fixed viewpoint constraint, therefore, maintaining a single viewpoint. they have further shown two practical setups of centric catadioptric cameras: ( ) positioning a pinhole cam- era at the focal point of a hyperboloidal mirror; and ( ) ori- enting an orthographic camera (realized by using a tele-lens) towards the rotational axis of a paraboloidal mirror. both de- signs, however, require highly accurate alignment and pre- cise assembly of the optical components. non-centric catadioptric cameras relaxing the single viewpoint constraint allows more general but non-centric catadioptric cameras. in a non-centric catadioptric camera, the loci of virtual viewpoints form the caustic surfaces of the mirror. the centric catadioptric camera is a special case with its caustic being a point. swaminathan et al. [ – ] proposed to use the envelop of these reflection rays for computing the caustic surface. yu and mcmillan [ ] in- stead decompose the mirror surface into piecewise triangle patches and model each reflection patch as a glc, as shown in sect. . . . recall that local reflection ray geometry observed by a pinhole or an orthographic camera can only ray geometry in non-pinhole cameras: a survey fig. solving for forward projection using glc decomposition. (a) we can decompose a curved mirror image using piecewise glcs. (b) a multi-resolution hierarchy can be created for querying the image of a d point algorithm . : mirror_glcforwardprojection(glc, ṗ ) procedure getray(const glc &glc, const point d &ṗ ) p[u, v] ← glc.project(ṗ ); if p[u, v] /∈ glc.triangle then { return (false) if isleaf(glc) then { return (p[u, v]) else ⎧⎪⎪⎪⎪⎪⎪⎪⎨ ⎪⎪⎪⎪⎪⎪⎪⎩ bnotfind ← true; while bnotfind do ⎧⎪⎪⎨ ⎪⎪⎩ x ← glc.subglcs.getnext(); q[u , v ] ← x.project(ṗ ); if q[u , v ] ∈ x.triangle then { bnotfind ← false; return (getray(x, ṗ )) be one of the four types of glc: xslit, pushbroom, pinhole, or orthographic, all can be viewed as special cases of xslit cameras: when the two slits intersect, it transforms into a pinhole camera; when one of the slits goes to infinity, the xslit transforms into a pushbroom; and when both slits go to infinity, it transforms into an orthographic camera. . solutions to the forward projection problem glc approximation the key advantage of using this glc approximation is that it provides a closed-form solution to the forward projection problem: one can decompose the mir- ror into piecewise glcs, project the d point into each glc, and verify if the projection location lies inside the glc [ ]. the result apparently is an approximation to the real solution and the accuracy depends on the fineness of triangulation. to improve both efficiency and accuracy, they have further developed a dynamic tessellation scheme similar to the level-of-detail (lod) technique in computer graphics. they first tessellate the reflection surface using a coarse set of glcs and then perform standard -to- subdi- vision and store the subdivision in a quad tree as shown in fig. . to forward project a d point ṗ to the camera, they start from the top level glcs and compute the image of ṗ ’s projection. they then determine which glc contains the fi- nal projection and repeat the search on its children glcs. the search stops until it reaches the leaf nodes. the detailed forward projection steps are shown in algorithm . . axial cameras the forward projection problem can also be addressed using special catadioptric cameras such as the axial camera. the axial camera is an intermediate class of cameras that lies between centric and non-centric ones. in an axial camera, all the projection rays are constrained to pass through a common axis but not a d point. one such model is a rotationally symmetric mirror with a pinhole camera viewing from its rotation axis, as shown in fig. (a). axial cameras are easier to construct than the centric catadioptric ones. for example, in a centric hyperbolic cata- dioptric camera, the optical center of the view camera has to be placed precisely at the mirror’s foci whereas in an ax- ial camera the optical center can be placed anywhere on the mirror axis to satisfy the axial geometry. the fact that all reflection rays passing through the rotation axis reveals that local glcs will map all reflection patches to a group of xs- lit cameras that share a common slit, i.e., the rotation axis. ramalingam et al. [ ] proposed a generic calibration al- gorithm for axial cameras by computing projection rays for each pixel constrained by the mirror axis. agrawal et al. [ ] further provided an analytical solution for forward projec- tion for axial cameras. given the viewpoint and a mirror, they compute the light path from a scene point to the viewing camera by solving a closed-form high-order forward pro- jection equation. conceptually, this can be done by exhaus- tively computing the projection for each centric ring of the virtual camera. for spherical mirror, they derived that the projection equation is reduced to th degree. this closed- form solution can be used to effectively compute the epipo- lar geometry to accelerate catadioptric stereo matching and to compose multiple axial camera images for forming a per- spective one [ ]. another special class of axial cameras is the radial cam- era proposed by kuthirummal and nayar [ ]. their goal is to strategically capture the scene from multiple viewpoints within a single image. a radial camera consists of a conven- tional camera looking through a hollow rotationally sym- metric mirror polished on the inside, as shown in fig. (b). the fov of the camera is folded inwards and consequently the scene is captured both directly and from virtual view- points after reflection by the mirror, as shown in fig. (c). by using a single camera, the radiometric properties are the same across all views. therefore, no synchronization or cal- ibration is required. the radial imaging system can also be viewed as a special axial camera that has a circular locus of virtual viewpoints. similar to the regular axial camera, closed-form solution can be derived for computing the for- ward projection. further, this camera has the same epipolar j. ye, j. yu fig. two examples of axial camera. (a) rotationally symmetric mirror with a viewing camera lying on the rotation axis. (b) a radial catadioptric camera can capture the same d point from different perspectives in a single image. (c) a multi-perspective image captured by (b) (courtesy of shree nayar) fig. top: a panoramic catadioptric projector system that combines a regular projector with curved plastic mirror. bottom: the final projection uses the projector’s full resolution ( × ) and displayed on a m × m wall geometry as the cyclographs [ ] and therefore can be ef- fectively used for omni-directional d reconstruction, ac- quiring d textures, sampling and estimating the surface reflectance properties such as the bidirectional reflectance distribution functions (brdf). . catadioptric projectors finally, one can replace the viewing pinhole camera with a projector. ding et al. [ ] proposed the catadioptric projec- tor by combining a digital commodity projector with spe- cially shaped reflectors to achieve an unprecedented level of flexibility in aspect ratio, size, and fov, as shown in fig. . their system assumes unknown reflector geometry and does not require accurate alignment between the projector and the optical units. they then use the inverse light transport tech- nique to correct geometric distortions and scattering. the main difference between the catadioptric camera and catadioptric projector is that the camera uses a near-zero aperture whereas the projector requires a wide aperture to achieve bright projections. however, the wide aperture may cause severe defocus blurs. due to the non-pinhole nature of reflection rays, the defocus blurs are much more com- plicated, e.g., the blur kernels are spatial-varying and non- circular shaped. therefore, traditional image precondition- ing algorithms are not directly applicable. the analysis in sect. . shows that the catadioptric de- focus blur can range from an ellipse to a line segment, de- pending on the aperture setting and the projector focal depth. to compensate for defocus blurs, ding et al. [ ] adopt a hardware solution: they change the shape of the aper- ture to reduce the average size of the defocus blur kernel. conceptually, one can use a very small aperture to emulate pinhole-type projection. however, small apertures block a large amount of light and produce dark projections. their so- lution is then to find the appropriate aperture shape that can effectively reduce the blurs without sacrificing the bright- ness in projection. in their approach, they first estimate the blur kernel by projecting a dotted pattern onto the wall and fit an ellipse to each captured dot. they then compute the average major and minor radii across all dots as a′ and b′. using the analysis in sect. . , they prove that the major and ray geometry in non-pinhole cameras: a survey fig. different light field camera designs. lenslet-based light field camera places the lenslet array on the image plane of the main lens. (a) in lytro [ ], the sensor is located at the focal plane of the mi- crolenses. (b) in lumsdaine et al. [ ], the microlenses focus on the sensor to trade angular resolution for spatial resolution. (c) the het- erodyne light field camera puts a narrowband d cosine mask near the sensor (courtesy of ramesh raskar). (d) catadioptric light field camera uses a view camera facing an array of mirrors (courtesy of yuichi taguchi) minor radii a and b of the optimal aperture should produce a circular shaped defocus kernel. they have shown that the optimal aperture should be an ellipse with a = d √ a′ b′ and b = d √ b′ a′ , where d is the diameter of the actual aperture. . d ray sampler: light field cameras the most general non-pinhole should be able to sample the complete d ray space and then reconfigure the rays at will. this requires using the generalized optics that treats each optical element as a d ray-bender that modifies the rays in a light field [ , , ]. the collected ray bundles can then be regrouped into separate measurements of the plenoptic func- tion [ , ]. the most straightforward scheme is to move a camera along a d path to sample the d ray space [ , ]. although this method is simple and easy to implement, it is only suitable for acquiring static scenes. wilburn et al. [ ] instead built a camera array to capture the light field. constructing such a light field camera array, however, is ex- tremely time and effort consuming and requires substantial amount of engineering. the latest developments are the light field cameras. lenslet based light field camera recent advances in op- tics manufacturing has enabled the light field to be captured using a single camera in one shot. ng [ ] designed a hand- held plenoptic camera to record the light field within a single shot by placing a lenslet array in front of the camera sensor to separate converging rays. each microlens focuses at the main aperture plane. since the size of the main lens is sev- eral magnitude larger than the lenslet, it can be treated as infinity to the lenslet. the sensor is placed at the focal plane of the lenslet array for simplification. in ng’s design, the f- numbers of the main lens and each microlens are matched to avoid cross-talk among microlens images. by parameter- izing the in-lens light field with a pp of Πuv at the main aperture and Πst at the lenslet array, the acquired ray space is uniformly sampled. this design has led to the commercial light field camera, lytro [ ], as shown in fig. (a). lumsdaine et al. [ ] introduced a slightly different de- sign by focusing the lenslet array on a virtual plane inside camera. in this case each microlens image will capture more spatial samples but less angular samples on the focused vir- tual plane. this design is capable of producing higher reso- lution results when focusing near the sampled image plane. however, the lower angular resolution leads to more se- vere ringing artifacts at the out-of-focus regions, as shown in fig. (b). mask based light field camera instead of using a lenslet ar- ray to separate light arriving at the same pixel from different directions, veeraraghavan et al. [ ] used a non-refractive patterned attenuation mask to modulate the light field in the frequency domain. by placing the mask on the light path between the lens and sensor, it attenuates light from differ- j. ye, j. yu ent directions accordingly, as shown in fig. (c). consid- ering the process in the frequency domain, we can view it as heterodyning the incoming light field. the attenuation mask needs to be reversible to ensure that demodulation can be performed. to recover the light field, they first transform the captured d image into fourier domain and then rearrange the tiles of the d fourier transform into d space. finally, the light field of the scene is computed by taking the inverse d fourier transform. further, they can insert the mask at different location along the optical path of the camera to achieve dynamic frequency modulation. however, the mask partially blocks out the incoming light and greatly reduces light efficiency. mirror based light field camera it is also possible to ac- quire the light field using a catadioptric mirror array, as shown in fig. (d). unger et al. [ ] combined a high res- olution tele-lens camera and an array of spherical mirrors to capture the incident light field. the use of mirror arrays in- stead of lenslet arrays has its advantages: it avoids chromatic aberrations caused by refraction, it does not require elabo- rate calibration between the lenslet array and the sensor, it captures images at a wide fov, and it is less expensive and reconfigurable. the disadvantages are two-fold. first, each mirror image is non-pinhole and therefore requires conduct- ing forward projection for associating the reflection rays with d points. second, the sampled the light field is non- uniform. two notable examples of these systems are the spherical mirror arrays by ding et al. [ ] and taguchi et al. [ ]. in [ ], the authors applied the glc-based forward projection (sect. . ) on multi-view space carving for reconstructing the d scene. taguchi et al. [ ] developed both a mirror ar- ray and a refractive sphere array and applied the axial cam- era formulation (sect. . ) to compute the closed forward projection. they have shown various applications including distortion correction and light field rendering. light field probes analogous to catadioptric cameras vs. catadioptric projectors, the duality to the light field camera is the light field probe, i.e., replacing the sensor with a pro- jector. the real light field probe has been implemented by using a backlight, diffuser, pattern, and a single or array of lenslet, as shown in fig. . similar to lytro, the pattern is placed at the focal plane of the lenslet array to simulate an array of projectors projecting towards infinity. the light field probe is apparently a multi-view display. it is also particu- larly useful for acquiring transparent surfaces. notice that the light field probe can directly estimate ray–ray correspon- dences as the view camera can associates each pixel to a ray. ye et al. [ ] used a single lens probe (a bokode [ ]) for recovering dynamic fluid surfaces. they presented a robust feature matching algorithm based on the active appearance fig. light field probes. (a) a light field probe combines a lenslet array and a special projection pattern. (b) similar to lytro, each lenslet acts as a view-dependent pixel model (aam) to robustly establishing ray–ray correspon- dences. the ray–ray correspondences then directly provide the surface normal and they derive a new angular-domain surface integration scheme to recover the surface from the normal field. wetzstein et al. [ , ] also used the light field probe for reconstructing complex transparent objects. they encode both spatial and angular by using specially de- signed color pattern. specifically, they use gradients of dif- ferent color channels (red and blue) to encode the d inci- dent ray direction and the green channel to encode the d (vertical) spatial location of the pattern. the second (hori- zontal) spatial location can be recovered through geometric constraints. their approach is able to achieve highly accu- rate ray–ray correspondences for reconstructing surface nor- mals of complex static objects. future directions there are several directions for future research related to non-pinhole cameras. the ray geometry theory may lead to new acquisition de- vices for many image-based rendering (ibr) and compu- tational photography applications. for example, it will be useful to design specially curved mirrors that can efficiently capture the light field. the pinhole-based and mirror-based light field cameras have provided one way to sample the ray space. the current spherical mirror array suffers from arti- facts such as non-uniform sampling and image distortions. alternatively, special-shaped mirrors may be able to more evenly sample the ray space, e.g., via a different type of ray subspace (e.g., using the glc-type mirrors). in addition to non-pinhole cameras, one can potentially develop non-pinhole light sources by replacing the viewing camera in a catadioptric camera with a point light source. ray geometry in non-pinhole cameras: a survey previous image-based relighting, surface reflectance sam- pling, and shape recovering algorithms are restricted by ge- ometric constraints of the light source. by strategically de- vising a different type of lighting condition, one can im- prove the way for measuring and sampling the radiance off the surface. in addition, a non-pinhole light source will cast special-shaped shadows. in particular, the shadow of a d line segment can be a curve under a non-pinhole light source. this may lead to the development of new shape- from-shadow algorithms which determine the depth of the object by analyzing the shape of the shadow at the silhou- ettes. finally, it is possible to develop a new theoretical frame- work based on computational and differential geometry to characterize and catalog the structures of ray space. for ex- ample, it can be highly useful to model the algebraic ray subspaces (e.g., ray simplices) and analyze how ray geome- tries are related to specific types of non-pinhole distortions. further, by correlating the geometric attributes of the re- flector/refractor surface with these distortions, we can ex- plore novel shape-from-caustics, shape-from-distortion, or depth-from-defocus algorithms for recovering highly com- plex specular surfaces. references . adelson, e.h., bergen, j.r.: the plenoptic function and the ele- ments of early vision. in: computational models of visual pro- cessing, pp. – ( ) . adelson, e., wang, j.: single lens stereo with a plenoptic camera. ieee trans. pattern anal. mach. intell. ( ), – ( ) . agarwala, a., agrawala, m., cohen, m., salesin, d., szeliski, r.: photographing long scenes with multi-viewpoint panoramas. in: acm siggraph, pp. – ( ) . agrawal, a., taguchi, y., ramalingam, s.: analytical forward projection for axial non-central dioptric and catadioptric cameras. in: proceedings of the th european conference on computer vision, pp. – ( ) . baker, s., nayar, s.k.: a theory of single-viewpoint catadioptric image formation. int. j. comput. vis. ( ), – ( ) . buehler, c., bosse, m., mcmillan, l., gortler, s., cohen, m.: unstructured lumigraph rendering. in: proceedings of the th annual conference on computer graphics and interactive tech- niques, siggraph ’ , pp. – ( ) . cohen-steiner, d., morvan, j.-m.: restricted delaunay triangula- tions and normal cycle. in: proceedings of the nineteenth annual symposium on computational geometry, pp. – ( ) . ding, y., yu, j.: epsilon stereo pairs. in: proceedings of the british machine vision conference, september, pp. – ( ) . ding, y., yu, j.: recovering shape characteristics on near-flat specular surfaces. in: computer vision and pattern recognition, june ( ) . ding, y., xiao, j., tan, k.-h., yu, j.: catadioptric projectors. in: computer vision and pattern recognition, june, pp. – ( ) . ding, y., yu, j., sturm, p.: multiperspective stereo matching and volumetric reconstruction. in: proceedings. th ieee inter- national conference on computer vision, oct., pp. – ( ) . ding, y., yu, j., sturm, p.: recovering specular surfaces using curved line images. in: computer vision and pattern recognition, june, pp. – ( ) . ding, y., xiao, j., yu, j.: a theory of multi-perspective defocus- ing. in: computer vision and pattern recognition, june ( ) . feldman, d., pajdla, t., weinshall, d.: on the epipolar geometry of the crossed-slits projection. in: proceedings. ninth ieee inter- national conference on computer vision, oct. ( ) . gortler, s.j., grzeszczuk, r., szeliski, r., cohen, m.f.: the lumi- graph. in: proceedings of the rd annual conference on com- puter graphics and interactive techniques, siggraph ’ , pp. – ( ) . gupta, r., hartley, r.i.: linear pushbroom cameras. ieee trans. pattern anal. mach. intell. ( ), – ( ) . hartley, r., zisserman, a.: multiple view geometry in computer vision, nd edn. cambridge university press, cambridge ( ) . hsu, w.-h., ma, k.-l., correa, c.: a rendering framework for multiscale views of d models. in: proceedings of the siggraph asia conference, pp. : – : ( ) . isaksen, a., mcmillan, l., gortler, s.j.: dynamically reparame- terized light fields. in: proceedings of the th annual conference on computer graphics and interactive techniques, siggraph, pp. – ( ) . jingyi, y., leonard, m.: a framework for multiperspective ren- dering. in: proceedings of rendering techniques, eurographics symposium on rendering ( ) . kim, c., hornung, a., heinzle, s., matusik, w., gross, m.: multi- perspective stereoscopy from light fields. acm trans. graph. ( ), : – : ( ) . kuthirummal, s., nayar, s.k.: multiview radial catadioptric imag- ing for scene capture. in: acm siggraph , pp. – ( ) . levoy, m., hanrahan, p.: light field rendering. in: proceedings of the rd annual conference on computer graphics and interac- tive techniques, siggraph ’ , pp. – ( ) . lumsdaine, a., georgiev, t.: the focused plenoptic camera. in: proceedings. ieee international conference on computational photography, pp. – ( ) . lytro. www.lytro.com . mcmillan, l., bishop, g.: plenoptic modeling: an image-based rendering system. in: proceedings of the nd annual conference on computer graphics and interactive techniques, siggraph, pp. – ( ) . mei, c., popescu, v., sacks, e.: the occlusion camera. comput. graph. forum , – ( ) . meyer, m., desbrun, m., schröder, p., barr, a.h.: discrete differential-geometry operators for triangulated -manifolds. in: proc. visisualization and mathematics, pp. – ( ) . mohan, a., woo, g., hiura, s., smithwick, q., raskar, r.: bokode: imperceptible visual tags for camera based interaction from a distance. in: acm siggraph ( ) . nayar, s.: catadioptric omnidirectional camera. in: computer vi- sion and pattern recognition, june, pp. – ( ) . ng, r.: fourier slice photography. in: acm siggraph pa- pers, pp. – ( ) . pajdla, t.: stereo with oblique cameras. in: ieee workshop on stereo and multi-baseline vision, pp. – ( ) . pajdla, t.: geometry of two-slit camera. research report ctu- cmp- - . peleg, s., ben-ezra, m.: stereo panorama with a single camera. in: computer vision and pattern recognition ( ) . peleg, s., rousso, b., rav-acha, a., zomet, a.: mosaicing on adaptive manifolds. ieee trans. pattern anal. mach. intell. ( ), – ( ) . w.d. productions: pinocchio, . movie . popescu, v., rosen, p., adamo-villani, n.: the graph camera. in: acm siggraph asia ( ) http://www.lytro.com j. ye, j. yu . ramalingam, s., sturm, p., lodha, s.k.: theory and calibration for axial cameras. in: asian conference on computer vision, vol. , pp. – ( ) . raskar, r., tumblin, j., mohan, a., agrawal, a., li, y.: compu- tational photography, pp. – . eurographics association ( ) . rucker, r.: the fourth dimension: toward a geometry of higher reality. houghton mifflin, boston ( ) . seitz, s.m., kim, j.: the space of all stereo images. int. j. comput. vis. ( ), – ( ) . shum, h.-y., szeliski, r.: construction of panoramic image mo- saics with global and local alignment. int. j. comput. vis. , – ( ) . soler, c., subr, k., durand, f., holzschuch, n., sillion, f.: fourier depth of field. acm trans. graph. , – ( ) . swaminathan, r., grossberg, m., nayar, s.: caustics of catadiop- tric cameras. in: proceedings. eighth ieee international confer- ence on computer vision, vol. , pp. – ( ) . swaminathan, r., grossberg, m.d., nayar, s.k.: a perspective on distortions. in: computer vision and pattern recognition, pp. – ( ) . swaminathan, r., grossberg, m.d., nayar, s.k.: non-single viewpoint catadioptric cameras: geometry and analysis. int. j. comput. vis. ( ), – ( ) . taguchi, y., agrawal, a., veeraraghavan, a., ramalingam, s., raskar, r.: axial-cones: modeling spherical catadioptric cameras for wide-angle light field rendering. in: acm siggraph asia, pp. : – : ( ) . unger, j., wenger, a., hawkins, t., gardner, a., debevec, p.: capturing and rendering with incident light fields. in: egrw, pp. – ( ) . veeraraghavan, a., raskar, r., agrawal, a., mohan, a., tumblin, j.: dappled photography: mask enhanced cameras for heterodyned light fields and coded aperture refocusing. in: acm siggraph ( ) . wetzstein, g., raskar, r., heidrich, w.: hand-held schlieren pho- tography with light field probes. in: proceedings. ieee interna- tional conference on computational photography, april, pp. – ( ) . wetzstein, g., roodnick, d., raskar, r., heidrich, w.: refractive shape from light field distortion. in: proceedings. th ieee inter- national conference on computer vision ( ) . wilburn, b., joshi, n., vaish, v., talvala, e.-v., antunez, e., barth, a., adams, a., horowitz, m., levoy, m.: high perfor- mance imaging using large camera arrays. in: acm siggraph, pp. – ( ) . wood, d.n., finkelstein, a., hughes, j.f., thayer, c.e., salesin, d.h.: multiperspective panoramas for cel animation. in: proceed- ings of the th annual conference on computer graphics and interactive techniques, siggraph, pp. – ( ) . ye, j., ji, y., li, f., yu, j.: angular domain reconstruction of dy- namic d fluid surfaces. in: computer vision and pattern recog- nition ( ) . yu, j., mcmillan, l.: general linear cameras. in: eccv ( ) . yu, j., mcmillan, l.: modelling reflections via multiperspective imaging. in: computer vision and pattern recognition, pp. – ( ) . yu, j., mcmillan, l.: multiperspective projection and collineation. in: proceedings. th ieee international conference on computer vision ( ) . yu, j., yin, x., gu, x., mcmillan, l., gortler, s.: focal surfaces of discrete geometry. in: proceedings of the fifth eurographics symposium on geometry processing, pp. – ( ) . yu, j., mcmillan, l., sturm, p.: multi-perspective modelling, rendering and imaging. comput. graph. forum ( ), – ( ) . zomet, a., feldman, d., peleg, s., weinshall, d.: mosaicing new views: the crossed-slits projection. ieee trans. pattern anal. mach. intell. ( ), – ( ) jinwei ye received her b.e. de- gree from the department of elec- trical engineering, huazhong uni- versity of science and technologry in . she is now a ph.d. student at the department of computer and information sciences, university of delaware. her research interests in- clude computational photography, and ray geometry. jingyi yu is an associate profes- sor at computer and information science department at the univer- sity of delaware. he received his b.s. from caltech in and m.s. and ph.d. degree in eecs from mit in . his research interests span a range of topics in computer graphics, computer vision, and im- age processing, including computa- tional photography, medical imag- ing, nonconventional optics and camera design, tracking and surveil- lance, and graphics hardware. ray geometry in non-pinhole cameras: a survey abstract introduction scope pinhole optics pinhole in ray space ray space pinhole ray geometry slit ray geometry the thin lens operator non-pinhole imaging models classical non-pinhole cameras general non-pinhole cameras general linear cameras (glc) case study : reflection on curved mirrors case study : d surfaces non-pinhole camera through the thin lens glc through a thin lens slit-direction duality case study : defocus analysis in catadioptric cameras applications of synthetic non-pinhole cameras synthesizing panoramas non-photorealistic rendering stereo and d reconstruction real non-pinhole imaging systems general catadioptric cameras centric catadioptric cameras non-centric catadioptric cameras solutions to the forward projection problem glc approximation axial cameras catadioptric projectors d ray sampler: light field cameras lenslet based light field camera mask based light field camera mirror based light field camera light field probes future directions references ayalagen resonance ! october general ! article in , theodosius dobzhansky addressed the convention of the national association of biology teachers on the theme “nothing in biology makes sense except in the light of evolu- tion”. the title of that address (published in the american biology teacher, vol. , pp. - ) might serve as an epigram of dobzhansky’s worldview and life, although it is limited in scope, for dobzhansky believed and propounded that the impli- cations of biological evolution reach much beyond biology into philosophy, sociology, and even socio-political issues. the place of biological evolution in human thought was, according to dobzhansky, best expressed in a passage that he often quoted from pierre teilhard de chardin: “(evolution) is a general postulate to which all theories, all hypotheses, all systems must hence forward bow and which they must satisfy in order to be thinkable and true. evolution is a light which illuminates all facts, a trajectory which all lines of thought must follow – this is what evolution is”. the modern synthesis of evolutionary theory theodosius dobzhansky was one of the most influential scien- tists of the twentieth century: he also was one of the most prolific. his first publication appeared in when dobzhansky was years old. the list of his publications at the time of his death contains titles, including more than a dozen books; and he left several manuscripts in the press or at various stages of preparation. the gamut of subject matters is enormous: results of experimental research in various biological disci- plines, works of synthesis and theory, essays on humanism and philosophy, and others. the incredibly numerous and diversi- fied published works of dobzhansky are nevertheless unified – biological evolution is the theme that threads them together. (reference to dobzhansky’s publications can be found in the theodosius dobzhansky: a man for all seasons francisco j ayala in writing this feature, i have d r a w n e x t e n s i v e l y f r o m t w o previous publications of mine: nothing in biology makes sense except in the light of evolution, the journal of heredity, : - , ; a n d t h e o d o s i u s d o b z h a n s k y - , b i o - graphical memoirs, national academy of sciences usa, : - , . francisco j ayala obtained his ph d with theodosius dobzhansky in the s and is presently the donald bren professor of biological sciences at the university of california, irvine and a member of president clinton’s committee of advisors on science and technology. he is a member of the u s national academy of sciences and has been president and chairman of the board of the american association for the advancement of science. he has worked extensively on the population ecology and evolutionary genetics of drosophila species. resonance ! october general ! article detailed bibliography prepared by f j ayala, biographical mem- oirs, national academy of sciences usa, : - , .) theodosius dobzhansky ( - ) was a key author of the synthetic theory of evolution, also known as the modern synthesis of evolutionary theory, which embodies a complex array of biological knowledge centered around darwin’s theory of evolution by natural selection couched in genetic terms. the epithet ‘synthetic’ primarily alludes to the artful combination of darwin’s natural selection with mendelian genetics, but also to the incorporation of relevant knowledge from biological disci- plines. in the s and s several theorists had developed mathematical accounts of natural selection as a genetic process. dobzhansky’s genetics and the origin of species, published in refashioned their formulations in language that biologists could understand, dressed the equations with natural history and experimental population genetics, and extended the synthe- sis to speciation and other cardinal problems omitted by the mathematicians. the current synthetic theory has grown around that original synthesis. it is not just one single hypothesis (or theory) with its corroborating evidence, but a multidisciplinary body of knowl- edge bearing on biological evolution, an amalgam of well estab- lished theories and working hypotheses, together with the ob- servations and experiments that support accepted hypotheses (and falsify rejected ones), which jointly seek to explain the evolutionary process and its outcomes. these hypotheses, ob- servations and experiments often originate in disciplines such as genetics, embryology, zoology, botany, paleontology, and molecular biology. currently, the ‘synthetic’ epithet is often omitted and the compilation of relevant knowledge is simply known as the theory of evolution. this is still expanding, just like one of those ‘holding’ business corporations that have grown around an original enterprise, but continue incorporat- ing new profitable enterprises and discarding unprofitable ones. darwin summarized the theory of evolution by natural selection theodosius dobzhansky ( - ) was a key author of the synthetic theory of evolution, also known as the modern synthesis of evolutionary theory, which embodies a complex array of biological knowledge centered around darwin’s theory of evolution by natural selection couched in genetic terms. resonance ! october general ! article in the origin of species ( ) as follows: “as many more individuals are produced than can possibly survive, there must in every case be a struggle for existence, either one individual with another of the same species, or with the individuals of distinct species, or with the physical condi- tions of life …can it, then, be thought improbable, seeing that variations useful to man have undoubtedly occurred, that other variations, useful in some way to each being in the great and complex battle of life, should sometimes occur in the course of thousands of generations? if such do occur, can we doubt (remembering that many more individuals are born than can possibly survive) that individuals having any advantage, how- ever slight, over others, would have the best chance of surviving and of procreating their kind? on the other hand, we may feel sure that any variation in the least degree injurious would be rigidly destroyed. this preservation of favorable variations and the rejection of injurious variations, i call natural selection”. darwin’s argument is that natural selection emerges as a neces- sary conclusion from two premises: (i) the assumption that hereditary variations useful to organisms occur, and (ii) the observation that more individuals are produced than can possi- bly survive. the most serious difficulty facing darwin’s evolu- tionary theory was the lack of an adequate theory of inheritance that would account for the preservation through the generations of the variations on which natural selection was supposed to act. theories of ‘blending inheritance’ then current proposed that offspring merely struck an average between the characteristics of their parents. as darwin became aware, blending inheritance could not account for the conservation of variations, because differences among variant offspring would be halved each gen- eration, rapidly reducing the original variation to the average of the preexisting characteristics. the missing link in darwin’s argument was provided by men- delian genetics. about the time the origin of species was pub- lished, the augustinian monk gregor mendel was performing a darwin’s argument is that natural selection emerges as a necessary conclusion from two premises: (i) the assumption that hereditary variations useful to organisms occur, and (ii) the observation that more individuals are produced than can possibly survive. resonance ! october general ! article long series of experiments with peas in the garden of his monas- tery in brünn, austria–hungary (now brno, czech republic). mendel’s paper, published in , formulated the fundamental principles of a theory of heredity that accounts for biological inheritance through particulate factors (now called ‘genes’) in- herited one from each parent, which do not mix or blend but segregate in the formation of the sex cells, or gametes. mendel’s discoveries, however, remained unknown to darwin and, indeed, did not become generally known until , when they were simultaneously rediscovered by several scientists. in the meantime, darwinism in the latter part of the th century faced an alternative evolutionary theory known as neo-lama- rckism. this hypothesis shared with lamarck’s original theory the importance of use and disuse in the development and oblit- eration of organs, and it added the notion that the environment acts directly on organic structures, which explained their adap- tation to the ways of life and environments of each organism. adherents of this theory rejected natural selection as an expla- nation for adaptation to the environment. the rediscovery of mendel’s theory of heredity in led to an emphasis on the role of heredity in evolution. in the nether- lands, hugo de vries ( ) proposed a new theory of evolution known as mutationism, which essentially did away with natural selection as a major evolutionary process. according to de vries (joined by other geneticists such as william bateson in en- gland), there are two kinds of variation in organisms. one is the ‘ordinary’ variation observed among individuals of a species, which is of no lasting consequence in evolution because, accord- ing to de vries, it could not “lead to a transgression of the species border even under conditions of the most stringent and contin- ued selection”. the other consists of the changes brought about by mutations, spontaneous alterations of genes that yield large modifications of the organism and give rise to new species: according to de vries, a new species originates suddenly, pro- duced by the existing one without any visible preparation and without transition. according to de vries, a new species originates suddenly, produced by the existing one without any visible preparation and without transition. resonance ! october general ! article mutationism was opposed by many naturalists, and in particular by the so-called biometricians, led by the briton karl pearson, who defended darwinian natural selection as the major cause of evolution through the cumulative effects of small, continuous, individual variations (which the biometricians assumed passed from one generation to the next without being subject to mendel’s laws of inheritance). the controversy between mutationists (also referred to at the time as mendelians) and biometricians approached a resolution in the s and ‘ s through the theoretical work of several geneticists (provine ). these studies used mathematical arguments to show, first, that continuous variation (in such characteristics as size, number of eggs laid, and the like) could be explained by mendel’s laws; and second, that natural selection acting cumulatively on small variations could yield major evolu- tionary changes in form and function. distinguished members of this group of theoretical geneticists were r a fisher and j b s haldane in britain and sewall wright in the united states (fisher ; haldane ; wright ). their work contrib- uted to the downfall of mutationism and, most importantly, provided a theoretical framework for the integration of genetics into darwin’s theory of natural selection. yet their work had a limited impact on contemporary biologists because it was for- mulated in a mathematical language that most of them could not understand; because it was almost exclusively theoretical, with little empirical corroboration; and because it was limited in scope, largely omitting many issues, like speciation, that were of great importance to evolutionists. dobzhansky’s genetics and the origin of species advanced a rea- sonably comprehensive account of the evolutionary process in genetic terms, laced with experimental evidence supporting the theoretical arguments. it had an enormous impact on natural- ists and experimental biologists, who rapidly embraced the new understanding of the evolutionary process as one of genetic change in populations. interest in evolutionary studies was dobzhansky’s genetics and the origin of species advanced a reasonably comprehensive account of the evolutionary process in genetic terms, laced with experimental evidence supporting the theoretical arguments. resonance ! october general ! article greatly stimulated, and contributions to the theory soon began to follow, extending the synthesis of genetics and natural selec- tion to a variety of biological fields. the main writers who, together with dobzhansky, may be considered the architects of the synthetic theory were the zoolo- gists ernst mayr ( ) and julian huxley ( ), the paleon- tologist george g simpson ( ), and the botanist g ledyard stebbins ( ). these researchers contributed to a burst of evolutionary studies in the traditional biological disciplines and in some emerging ones – notably population genetics and, later, evolutionary ecology. by , acceptance of darwin’s theory of evolution by natural selection was universal among biologists, and the synthetic theory had become widely adopted. the line of thought of genetics and the origin of species is surprisingly modern – in part, no doubt, because it established the pattern that successive evolutionary investigations and trea- tises largely would follow. dobzhansky writes in the preface: “the problem of evolution may be approached in two different ways. first, the sequence of the evolutionary events as they have actually taken place in the past history of various organisms may be traced. second, the mechanisms that bring about evolution- ary changes may be studied. the present book is dedicated to a discussion of the mechanisms of species formation in terms of the known facts and theories of genetics”. the book starts with a consideration of organic diversity and discontinuity. succes- sively, it deals with mutation as the origin of hereditary varia- tion, the role of chromosomal rearrangements, variation in natural populations, natural selection, the origin of species by polyploidy, the origin of species through gradual development of reproductive isolation, physiological and genetic differences between species, and the concept of species as natural units. the book’s organization was largely preserved in the second ( ) and third ( ) editions, and in genetics of the evolutionary process (dobzhansky ), published in , a book that dobzhansky thought of as the fourth edition of the earlier one, “the problem of evolution may be approached in two different ways. first, the sequence of the evolutionary events as they have actually taken place in the past history of various organisms may be traced. second, the mechanisms that bring about evolutionary changes may be studied. the present book is dedicated to a discussion of the mechanisms of species formation in terms of the known facts and theories of genetics”. dobzhansky in “genetics and the origin of species” resonance ! october general ! article but had changed too much for publication under the same title. human evolution and human individuality near the end of the origin of species, darwin wrote that “much light will be thrown [by this theory] on the origin of man”. in the descent of man ( ) darwin showed mankind as the outcome of biological evolution and thus kin to all life. like- wise, dobzhansky extended the synthesis of mendelism and darwinism to the understanding of human nature in mankind evolving ( ), a book that many consider to be as important as genetics and the origin of species. mankind evolving remains an unsurpassed synthesis of genetics, evolutionary theory, anthropology, and sociology. dobzhansky expounded that human nature has two dimensions: the biologi- cal, which mankind shares with the rest of life, and the cultural, which is exclusive to humans. these two dimensions result from two interconnected processes, biological evolution and cultural evolution: “the thesis to be set forth in the present book is that man has both a nature and a ‘history’. human evolution has two compo- nents, the biological or organic, and the cultural or superorganic. these components are neither mutually exclusive nor indepen- dent, but interrelated and interdependent. human evolution cannot be understood as a purely biological process, nor can it be adequately described as a history of culture. it is the interaction of biology and culture. there exists a feedback between biologi- cal and cultural processes” (mankind evolving, p. ). two principal topics of mankind evolving are the interrelated concepts of human diversity and race. dobzhansky’s first major publication on these topics was heredity, race, and society ( ), a book co-authored with l c dunn that was translated into many languages and sold more than one million copies. dobzhansky set forth that the individual is not the embodiment of some ideal type or norm, but rather a unique and unrepeatable dobzhansky extended the synthesis of mendelism and darwinism to the understanding of human nature in mankind evolving ( ), a book that many consider to be as important as genetics and the origin of species. resonance ! october general ! article realization in the field of quasi-infinite possible genetic combi- nations. the pervasiveness of genetic variation provides the biological foundation of human individuality; dobzhansky elu- cidated that it also leads to demystification of the much-abused concept of race. he emphasized that populations or groups of populations differ from each other in the frequencies of some genes. these differences may be recognized by distinguishing populations of a given species as races. the number of races and the boundaries between them are largely arbitrary because rarely if ever are populations of the same species separated by sharp discontinuities in their genetic make-up. most important is the fact that races are polymorphic for the same genetic variants that may be used to distinguish one race from another. there is more genetic variation within any human race than there are genetic differences between races. it follows, as dobzhansky saw it, that individuals should be evaluated by what they are, not by the race to which they belong. dobzhansky considered human diversity a fact belonging to the realm of observable natural phenomena: “people are innately, genetically, and therefore irremediably diverse and unlike” (ge- netic diversity and human equality, p. ). biological distinctive- ness is not, however, a basis for inequality. equality – as in equality in law and equality of opportunity – “pertains to the rights and the sacredness of life of every human being” (loc. cit.). dobzhansky pointed out that equality in law and equality of opportunity are the best strategy to maximize the benefits of human biological diversity. “denial of equality of opportunity stultifies the genetic diversity with which mankind became equipped in the course of its evolutionary development. in- equality conceals and stifles some people’s abilities and dis- sembles the lack of abilities in others. conversely equality permits an optimal utilization of the wealth of the gene pool of the human species” (mankind evolving, p. ). dobzhansky had little patience with racial prejudice or social injustice, and castigated those who pretended to base them on what he called the “bogus ‘science’ of race prejudice”. there is more genetic variation within any human race than there are genetic differences between races. it follows, as dobzhansky saw it, that individuals should be evaluated by what they are, not by the race to which they belong. resonance ! october general ! article dobzhansky’s lasting interest in the relevance of biology, and particularly evolutionary theory, to human affairs is evident in the many scores of articles that he wrote on the subject and in the titles of some of his books: heredity, race, and society ( ), evolution, genetics, and man ( ), the biological basis of hu- man freedom ( ), radiation, genes, and man ( , with b wallace), mankind evolving ( ), heredity and the nature of man ( ), the biology of ultimate concern ( ), and genetic diversity and human equality ( ). a scientist – and a humanist and philosopher dobzhansky’s interest in the interface between biology and human problems was expressed in numerous publications that flow as a continuous stream since the mid- s. his concern was probably kindled by several convergent influences. one factor was the race bigotism that contributed in europe to triggering world war ii; another, lysenko’s suppression of genetics and geneticists in the ussr; a third, his association as a colleague and intimate friend with l c dunn, whose compas- sion for the human predicament was much revered by dobzhansky, and who was greatly involved in providing shelter in the united states for scientists fleeing from nazi persecution. dobzhansky was concerned with the role of religion in human life and explored the evolutionary basis of religion in several articles in the s and s, and in his the biology of ultimate concern ( ). dobzhansky often expressed his frustration at the limited influ- ence of biology on the thinking of philosophers. he saw that evolutionary biology raises new philosophical problems and throws light on old ones. he wrote several essays on philosophi- cal questions, such as the concepts of determinism and chance, transcendent phenomena, organismic, or compositionist, ap- proaches in the philosophy of biology, and the ‘creative’ charac- ter of biological evolution. dobzhansky often expressed his frustration at the limited influence of biology on the thinking of philosophers. he saw that evolutionary biology raises new philosophical problems and throws light on old ones. resonance ! october general ! article a scientist and a teacher dobzhansky was an excellent teacher and distinguished educa- tor of scientists. throughout his academic career he had more than graduate students and an even greater number of postdoctoral and visiting associates, many of them from foreign countries. some of the most distinguished geneticists and evolutionists in the united states and abroad are his former students. dobzhansky spent long periods of time in foreign academic institutions, and was largely responsible for the estab- lishment or development of genetics and evolutionary biology in various countries, notably brazil, chile, and egypt. dobzhansky gave generously of his time to other scientists, particularly to young ones and to students. but he resented time spent in committee activities, which he shunned as often as he reasonably could. throughout his academic career, he avoided administrative posts, alleging, perhaps correctly, that he had neither temperament nor ability for management. most cer- tainly, he preferred to dedicate his working time to research and writing, rather than to administration. a short sketch of a long life theodosius dobzhansky was born on january , , in nemirov, a small town km southeast of kiev in the ukraine. he was the only child of sophia voinarsky and grigory dobrzhansky (precise transliteration of the russian family name includes the letter ‘r’ ), a teacher of high school mathematics. in the family moved to the outskirts of kiev, where dobzhansky lived through the tumultuous years of world war i and the bolshevik revolution. in those times the family was often beset by various privations, including hunger. in his unpublished autobiographical reminiscences for the ‘oral history project’ of columbia university, dobzhansky states that his decision to become a biologist was made in about . through his early high school years, dobzhansky became an dobzhansky gave generously of his time to other scientists, particularly to young ones and to students. but he resented time spent in committee activities, which he shunned as often as he reasonably could. resonance ! october general ! article avid butterfly collector. a school teacher gave him access to a microscope that dobzhansky used particularly during the long winter months. in the winter of - , he met victor luchnik, a -year-old college drop-out, who was a dedicated entomologist specializing in coccinellidae beetles. luchnik convinced dobzhansky that butterfly collecting would not lead anywhere and that he should become a specialist. dobzhansky chose to work with ladybird beetles, which would be the subject of his first scientific publication in . dobzhansky graduated in biology from the university of kiev in . before his graduation, he was hired as an instructor in zoology at the polytechnic institute in kiev. he taught there until , when he became an assistant to yuri filipchenko, head of the new department of genetics at the university of leningrad. filipchenko was familiar with morgan’s work in the united states and had started a drosophila laboratory, where dobzhansky was encouraged to investigate the pleiotropic ef- fects of genes. in , dobzhansky obtained a fellowship from the interna- tional education board (rockefeller foundation) and arrived in new york on december to work with thomas hunt morgan at columbia university. in the summer of he followed morgan to the california institute of technology, where dobzhansky was appointed assistant professor of genetics in , and professor of genetics in . in he returned to new york as professor of zoology at columbia university, where he remained until , when he became professor at the rockefeller institute (renamed rockefeller university in ) also in new york. on july , , dobzhansky became profes- sor emeritus at rockefeller university; in september , he moved to the department of genetics at the university of california, davis, where he was adjunct professor until his death in . on august , , dobzhansky married natalia (natasha) sivertzev, a geneticist in her own right, who was at the time through his early high school years, dobzhansky became an avid butterfly collector. a school teacher gave him access to a microscope that dobzhansky used particularly during the long winter months. resonance ! october general ! article working with the famous russian biologist i i schmalhausen in kiev. natasha was dobzhansky’s faithful companion and occa- sional scientific collaborator until her death from coronary thrombosis on february , . dobzhansky himself died of heart failure on the morning of december , . the previ- ous day, he had been working in the laboratory. dobzhansky was a world traveller and an accomplished linguist able to fluently speak six languages and to read several more. he was a good naturalist, and never lacked time for a hike in the california sierras, the new england forests, or the amazon jungles. he loved horseback riding but practised no other sports. dobzhansky’s interests included the visual arts, music, history, russian literature, cultural anthropology, philosophy, religion, and, of course, science. his artistic preferences were unsystematic and definitely traditional. his favourite composer was beethoven followed by bach and other baroques; he loved italian operas, but had little appreciation for most twentieth century music and a definite distaste for atonalism (of elec- tronic and computer-composed music, he said that it is fit only for computers to listen to it). in art, dobzhansky admired the italian renaissance painters as well as the dutch and spanish masters of the seventeenth century; he appreciated the french impressionists but detested cubism and all subsequent styles and schools of modern art. dobzhansky’s obvious personality traits were magnanimity and expansiveness. he recognized and generously praised the achievements of other scientists; he admired the intellect of his colleagues, even when admiration was alloyed with disagree- ment. he made many long-lasting friendships, usually started by professional interaction. many of dobzhansky’s friends were scientists younger than himself, who had either worked in his laboratory as students, postdoctorals, or visitors, or had met him during his travels. he was conspicuously affectionate and loyal toward his friends; he expected affection and loyalty in return. dobzhansky’s exuberant personality was manifest not only in dobzhansky’s obvious personality traits were magnanimity and expansiveness. he recognized and generously praised the achievements of other scientists; he admired the intellect of his colleagues, even when admiration was alloyed with disagreement. resonance ! october general ! article his friendships but also in his antipathies, which he was seldom able, or often willing, to hide. dobzhansky was a religious man, although he apparently re- jected fundamental beliefs of traditional religion, such as the existence of a personal god and of life beyond physical death. his religiosity was grounded on the conviction that there is meaning in the universe. he saw that meaning in the fact that evolution has produced the stupendous diversity of the living world and has progressed from primitive forms of life to man- kind. dobzhansky held that, in man, biological evolution has transcended itself into the realm of self-awareness and culture. he believed that somehow mankind would eventually evolve into higher levels of harmony and creativity. he was a meta- physical optimist. address for correspondence francisco j ayala department of ecology and evolutionary biology university of california irvine, ca - , usa. email: fjayala@uci.edu francisco jose ayala – a many faceted personality ayala was born in spain, got his undergraduate degree in physics, followed by a doctorate in theology with a dissertation written in latin. he was a dominican priest and was pursuing graduate studies in genetics when dobzhansky met him in madrid in the early s. dobzhansky was impressed and persuaded ayala to join him at columbia university for a ph d. after finishing his ph d, ayala did not want to return to spain as he was opposed to franco’s rule. he taught for several years at the providence college, rhode island (a dominican college). by this time dobzhansky had moved to rockefeller university. ayala, by now disenchanted not only with spain, but also the dominicans and the catholic church hierarchy, joined dobzhansky as research associate. finally, he moved as associate professor to uc davis in , with part of the deal being that the now retired dobzhansky would come along with him. in the s, ayala moved to uc irvine, where he is now donald bren professor. most of what is true of dobzhansky is also true of ayala. ayala, too, influenced people on several continents, especially spain and latin america. his graduate students include some of the best known evolutionary geneticists and ecologists (especially drosophilists) in the - year old age group. ayala has been a prolific writer of scientific papers, textbooks and ‘general’ articles. he has also been an active defender of evolution from creationist attacks with the added advantage that he too can quote the bible chapter and verse back at them. although english is not his native tongue, his writing is extremely clear and elegant. ayala’s work has been an elegant blend of theoretical approaches, rigorous laboratory experimentation and field studies, a combination not often seen in one person’s work. presently, he is one of the most distinguished living evolutionary geneticists, and certainly the most illustrious of dobzhansky’s students. amitabh joshi edinburgh research explorer review: javier barón (ed.), el greco & la pintura moderna, exhibition catalogue, madrid, museo nacional del prado, june–october . citation for published version: hopkins, c , 'review: javier barón (ed.), el greco & la pintura moderna, exhibition catalogue, madrid, museo nacional del prado, june–october .', bulletin of spanish studies, vol. , no. . https://doi.org/ . / . . digital object identifier (doi): . / . . link: link to publication record in edinburgh research explorer document version: peer reviewed version published in: bulletin of spanish studies general rights copyright for the publications made accessible via the edinburgh research explorer is retained by the author(s) and / or other copyright owners and it is a condition of accessing these publications that users recognise and abide by the legal requirements associated with these rights. take down policy the university of edinburgh has made every reasonable effort to ensure that edinburgh research explorer content complies with uk legislation. if you believe that the public display of this file breaches copyright please contact openaccess@ed.ac.uk providing details, and we will remove access to the work immediately and investigate your claim. download date: . apr. https://doi.org/ . / . . https://doi.org/ . / . . https://www.research.ed.ac.uk/portal/en/publications/review-javier-baron-ed-el-greco--la-pintura-moderna-exhibition-catalogue-madrid-museo-nacional-del-prado-juneoctober- (c f c- e b- c f- e e- dcfccffc d).html review: javier barón (ed.), el greco & la pintura moderna , exhibition catalogue, madrid, museo nacional del prado, june–october . by claudia hopkins the exhibition el greco y la pintura moderna, curated by javier barón at the prado earlier this year in commemoration of el greco’s th anniversary, celebrated el greco as an essential source of inspiration for nineteenth and twentieth-century painters. the display of works by el greco with paintings by modern artists offered a truly visual feast that invited the viewer to see the old master through the varied lenses of modern artists, ranging from eduard manet through to the luminaries of twentieth-century art, such as pablo picasso, jackson pollock and francis bacon. what emerged was a complex web of rich and diverse interpretations of el greco, which showed that the revolution of modern art did not begin at zero but had its roots in the art of the past: el greco’s somber portraits of toledan nobleman find different adaptations in portraits by artists as diverse as madrazo, picasso or modigliani; a comparison of cézanne’s bathers with two small sculptures of the resurrected christ by el greco reveal striking similarities. el greco—a highly individualist artist in his own time—prompted many modern artists, searching for their own paths, to identify with him. “yo, el greco” wrote picasso on an early sketch of el greco-like heads with pointed beards. chagall found in el greco formal and spiritual inspiration, as exemplified by his self- portrait in vitsep, a city referred to as the ‘russian toledo’ for its christian and jewish elements. for the spanish artist zuluoga el greco became an obsession. as is well known, his acquisition of el greco’s the vision of st. john turned out to be vital to picasso’s demoiselles d’avignon, which signaled the birth of cubism. el greco’s impact on cubism was shown in the exhibition through smaller works by picasso and his followers. perhaps the exhibition’s most spectacular and challenging section was the display of monumental works by el greco, such as the laocoonte and the vision of saint john, in dialogue with expressionism, abstract expressionism, surrealism and new figurative art. in order to understand the process by which el greco’s work was assimilated and ‘translated’ into modern languages of art, we need to turn to the exhibition catalogue. this well-researched and multi-authored publication includes two essays by javier barón, and one essay by each of the following scholars: leticia ruiz gómez, pedro j. martínez plaza, veronika schroeder, jeffrey schrader and javier portús. barón’s introductory essay is followed by ruiz gómez’ rich analysis of the pictorial development of el greco from his cretan origins to his last works in toledo, which highlights the formal aspects that so appealed to the modern eye: his energetic brushwork, expressivity of form and colour, and innovative organization of space. in turn, martínez plaza offers new insights into the presence of el greco’s works in private and public collections as a factor contributing to his fame both in and outside spain. an important issue—difficult to transmit through the exhibition— concerns the importance of art historians, curators and critics, who presented el greco in modernist terms to their audiences. as barón explains, el greco’s status as a precursor of cézanne, the father of modern art, was a powerful construct. the parallels that critics detected in cézanne’s and el greco’s works were repeated over and over again, leading to a topos that stands at the basis of the modern fascination with el greco. as schroeder argues, the german critic julius meier-graefe—the ‘apostle of el greco’—presented el greco with such enthusiasm and conviction through his travelogue die spanische reise ( ) that it was his vision of el greco that was adopted. german expressionists, who in the pre-war years wished to turn their back on materialism and build a life based on spirit and soul, found in meier-graefe’s el greco a rich visual vocabulary— ethereal figures, vaguely defined nocturnal landscapes, anti-natural colours, monochrome greys etc.—which helped them to visualize their existentialist identity. artists in north america were also drawn to el greco—one artist who had seen el greco’s view of toledo at the knoedler galleries in , judged this work as “more provocative” (p. ) than the armory show of —but el greco’s perceived modernity had different repercussions in north america than in europe. the north american fascination was bound up, at first, with regionalism and formalism, and then with abstraction. thomas hart benton’s chilmark, a quintessential american landscape with spiritual overtones, takes inspiration from the undulating lines of el greco’s agony. pollock, following benton’s example, made small drawings after el greco’s resurrection from a black and white reproduction, but unlike benton, emphasised the expressive potential of the figures. as schrader’s nuanced essay reveals, pollock’s interest in el greco was often mediated via other el greco-influenced artists, such as orozco or picasso. hence, the alignment pollock-el greco is not always obvious. comparisons between abstract expressionists and el greco were often made by gallery owners and curators in the s. later on artistic interest in el greco waned due to the rise of pop and other movements, but the idea of el greco’s vital role to modern art still had currency in when even roy lichtenstein talked of a direct lineage from el greco to abstract expressionism. the final chapter by portús reveals the diverse responses to el greco by surrealists and later figurative artists in spain, france and britain. the importance of art writing surfaces again. the complex debates about el greco led to a kaleidoscopic vision of the artist, which also found its echoes in art. for example, roger fry’s evaluation of el greco as baroque and anti-classical made him palatable to british artists like henry moore, who considered him as an artist with an inner vision. other critics looked at el greco in terms of mysticism or eroticism, which in turn attracted surrealists like oscar domínguez who explored the erotic potential of the old master. the reception of el greco in modern times is not a new topic. the prado exhibition builds on two previous ones: el greco. su revalorización por el modernismo catalan, in barcelona, , and el greco and modernism (which focused on german expressionism) in düsseldorf, . however, the prado exhibition and its accompanying catalogue are unprecedented in their sheer scope and firmly place el greco in a wide international arena of modern art. pii: - ( ) - advances in mathematics , - ( ) book reviews h. p. f. swinnerton-dyer, analytic theory of abelian varieties, cambridge, , pp. a no-nonsense, crystal clear account of a difficult and critically important subject. will make a good introduction to other treatments of the subject, such as mumford’s. j. a. richardson, modern art and scientific thought, illinois, , pp. what does cczanne have in common with non-euclidean geometry? how does cubism relate to the principia mathematics ? does kandinsky relate to the rise of quantum mechanics ? read this book and you might find out. d. h. fflemlin, topological riesz spaces and measure theory, cambridge, , pp. some subjects are easier to write about than others, and riesz spaces is one; hence the spate of texts and surveys. this is one of the best. the idea of deriving measure theory from riesz space should be adopted. the author’s discussion of boolean rings and his s(a) would have been greatly simplified by use of the valuation ring of a boolean ring, developed by l. geissinger and others. also, one misses references to caratheodory’s mass and integral and to linton’s categorizations. d. g. northcott, a first course in homological algebra, cambridge, , pp. it is rare to find an advanced algebra text which is not written by the author for his dozen-odd friends, but this seems to be one. the material is central to presentday mathematics, and we are grateful that it is at least being made accessible to a wide public. j. f. hofmann, leibniz in paris, cambridge, , pp. the author was one of the foremost experts ever on leibniz, and this is his lifetime work. unlike most historians, he writes engagingly and accessibly. this book should go a long way to do away with the perniciously inaccurate romantic image of the superior-to-all, universal, saintly “genius,” an image which is still inculcated, with criminal disregard for the truth and catastrophic results, to schoolchildren all over the world. n. biggs, algebraic graph theory, cambridge, , pp. most-though not by any means all-known results relating graphical enumeration to linear algebra are collected here, at long last. a useful reference. m. audi, the interpretation of quantum mechanics, chicago, , pp. philoso- phers of quantum mechanics usually trail current research by about one generation. no wonder: the mathematics is too tough. one wonders of what conceivable use to physicists these johnny-come-lately-accounts stressing the “what if” aspects of past research can be. d. c. gazis, ed., trafic science, wiley, , pp. the mathematical theory of traffic lies at the intersection of fluid mechanics, stochastic processes, optimization, and perhaps other currently fashionable disciplines as well. it is a testing ground and an effective way of making contact with some of the current problems in applied mathematics. i. r. shafarevich, basic algebraic geometry, springer, , pp. at long last, an introduction to algebraic geometry that does not require four years of background in copyright by academic press, inc. all rights of reproduction in any form reserved. the kenner-davenport era the kenner-davenport era denis donoghue the hopkins review, volume , number , summer , pp. - (article) published by johns hopkins university press doi: for additional information about this article [ access provided at apr : gmt from carnegie mellon university ] https://doi.org/ . /thr. . https://muse.jhu.edu/article/ https://doi.org/ . /thr. . https://muse.jhu.edu/article/ © johns hopkins university press denis donoghue the kenner-davenport era it is a delight to see two scholars sharing their scholarship, and now we have the record of a remarkably fruitful correspondence, from to about with snippets thereafter till , between hugh kenner and guy davenport, different minds concentrated on the quandaries of modern literature. hugh kenner ( – ) i knew well enough, guy davenport ( – ) not at all. kenner came to dublin fairly often during the years in which i lived there and while my name was not italicized, i feel sure, on his visiting list, our paths crossed easily in that gregarious city. i assumed he came to familiarize himself again with joyce’s streets and on the off chance of meeting someone whose father or grandfa- ther might have seen joyce “walking into eternity along sandymount strand.” kenner brought his camera with him, and snapped the crampton monument, thomas moore’s right index finger, and the bust of demosthenes in trinity college’s library, photographs he was to offer to readers of joyce’s voices ( ). a few of his visits have stayed in my mind; one, when i brought him to dinner at the king sitric restau- rant in howth, and the head waiter steered him unerringly to the most expensive dishes on the menu. i recall nothing further of that evening, either what kenner or i said. ezra pound’s companion olga rudge told guy davenport that kenner was “a wonderful raconteur.” he did not have that reputation in dublin or in howth. i can only suppose that in italy and at pound’s table in sant’ambrogio he raised his game in the hope of enticing the silent poet to speak. a year or two later, kenner was again among us. someone arranged a lunch at bernardo’s, and a round tableful of bookish folk assembled the hopkins review with kenner the guest of honor. donald davie was there, seán white, and if my approximate memory holds, father roland burke savage, the editor of studies. what i mainly remember is that the lunch had hardly begun before kenner started urging davie and me to give up our jobs in dublin and remove ourselves to the university of california at santa barbara. kenner was the most eminent member of the english faculty there. he said he had a plan, that we would join with him, marvin mudrick, and other gifted colleagues and exert a “cultural heave from the west,” as he memorably phrased it, to dislodge the rascals who were running the literary show in new york. i didn’t take this notion seriously, but davie did, at least to the partial extent of arranging a year’s sabbatical leave from trinity college and spending it, indeed, in santa barbara, where, however, he did not remain. two or three years later, kenner was yet again in dublin, and this time he and i conducted, if that is the right verb, a graduate seminar in trinity on marianne moore’s poem “virginia britannia.” i recall little of that occasion except that kenner kept emphasizing that pound was the first poet who wrote his poems directly to a typewriter and passed that practice on to marianne moore and william carlos williams. i found the point more persuasive in kenner’s the counterfeiters, where he shows how swiftly williams moved, writing “at the bar” from one draft to the next until he got it right. he could not have made those changes as painlessly with pen or pencil. the last time i saw kenner was at a pound conference in hailey, idaho, in, i think, . i gave a lecture called “a packet for ezra pound,” the title and probably much else taken from yeats. kenner did me the honor of attending it, staying awake for its minutes and then leaving without saying yea or nay. that was fine by me. kenner’s knowledge of pound’s work exceeded mine by a factor of or . i could not have delivered to him one iota of news. some months later i read of his death. hk and gd came together as scholars of pound. they met for the first time at a gathering of the english institute at columbia university denis donoghue in september . the letters began with one of march , from kenner inviting davenport to think of taking a job at santa barbara, kenner being then chairman of the english department. davenport was a southerner, south carolina born. he took his undergraduate degree rather unhappily at duke and went to harvard and oxford for graduate work on ulysses. harry levin supervised him at harvard, hugo dyson was one of his supervisors at oxford. back in america, gd got a temporary job at haverford. he married martha farrow on august , : they were divorced in december . in “on reading” he recalled that the conditions under which he made his way through the iliad in greek were “the violence and paralyzing misery of a dis- integrating marriage, for which abrasion, nevertheless, the meaning of the poem was the more tragic.” if that marriage was a mistake, he was willing to try again, but this time the woman, a roman catholic, “mary ann of the flashing eyes,” “refused to marry a divorced man.” that was that. in the event, davenport did not achieve professional stability until august when he was appointed professor of english in the university of kentucky at lexington. on may , he reported to kenner that a woman named bonnie jean cox—“straw blonde, green eyes, episcopalian, virginia family, set. xx”—had entered his life. she stayed there, lived six blocks away from him, and was available for meals, minor outings, and large travels—amsterdam, copenhagen, paris, and other cities. he claimed that he hated travel, never owned a car or a driving license, but bonnie jean cox persuaded him. the letters begin, as if randomly, with talk of jobs, the possibility that kenner might go to rice—he didn’t—talk of beckett, kenner about to publish his samuel beckett: a critical study ( ), more talk of books, reviews, pound, charles babbage, and murmurs of davenport’s trans- lation of archilochos. kenner had a certain amount of greek, enough to manage liddell and scott. davenport’s greek was much stronger and in seven greeks ( ) rose to the challenges of sappho, archilochos, alkman, anakreon, herakleitos, diogenes, and herondas. sometimes the hopkins review a reviewer corrected a phrase. william arrowsmith rejected a type- script on meleager because he thought it “no good.” but davenport persisted and made an extended career for himself with translations from the most esoteric greek poets. sometimes, before or after gossip, kenner inserted a sentence or two worth thinking about, as having referred to pound’s “hit-and-miss scholarship,” he went on to a lively perception: the origin, here, of his taste for fragments heavy with unfor- mulated meaning? one feels from time to time in his transla- tions that it is when he does not know and does not think he knows his original’s full range of meaning that he is driven to crested heights by sheer respect for its mysteriousness. crested heights: there we have kenner’s free-lancing intelligence enjoying itself. in a letter of may , , he urged davenport not to worry about being definitive in his translations of sappho; instead, he should offer “stereoscopic views” of her poems “by juxtaposing highly finished alternative versions, as many as three at times, of at least some poems.” then he thought of eliot, calling him, as usual, possum: it would be, among other things, a tacit challenge to the notion that versions are in competition, were you to offer an array of views rather than finalities. fallacy finality, even on possum’s view that there is a finality for a given age; by which possum appears to mean simply that the ultimate li po for is sim- ply the best style of english poem achievable. possum was never sufficiently aware of a style as a system of equipoises within which one manoeuvres; he always thinks of an impulse, person or period, exhausting itself; the exhaustion is the finality. but versions are, i’m afraid, in competition. if davenport were to lay out two or three versions of a poem by sappho beside his own, he would be saying, in effect, look at these idiots and then celebrate the best me. denis donoghue meanwhile kenner was developing his own method of criticism, a peculiar one. if he were writing about, say, william carlos williams, he would try to find a typical passage of wcw’s writing, bring it to memory, and allow this trace to lodge in his own style to the point of silently imitating the original. “my fundamental principle,” he said, is that “one writes about them in their own voices.” not surprisingly, this practice of secret quotation did not always work, kenner’s own voice being an insistent instrument, trumpet or bassoon. some writers, like wyndham lewis, could not be assimilated, as kenner admitted, referring to “infection as usual from l’s own style.” frank kermode, reviewing samuel beckett: a critical study, disapproved of the method: the truth is that this critic does much more absorbing and con- verting than explaining. his prose is a twitch with the exertion of wit and intellect and it has a narcissistic glow. “all beckett’s writings bring some sustained formal element to the service of some irreducible situation round which the lucid sentences defile in baffled aplomb.” this is useless. sometimes there is a disastrous self-admiring joke . . . how “lucudow” “lucid sentences” disclose “baffled aplomb,” kenner did not say. davenport rarely offered paragraphs of such weight, but he had an ear for them in others. after a lunch with beckett in paris, he made a note of the great man’s remarking of the joyce of finnegans wake: “the fall of man and the fall of a leaf were the same to him. he saw everything in everything else.” davenport accepted that kenner was the major figure. his letters to hk are full of praise for this “great writer, great stylist.” only once have i found gd asserting himself. kenner wanted to begin the pound era with a resounding sentence, jamesian because for some obscure reason he wanted the whole first chapter to be jamesian. the excuse for this decision was that pound met james and his niece—brother william’s daughter—strolling in chelsea one evening. kenner sent the resounding prose to davenport, expecting nothing but appreciation. the sentence was “to be rolled about on the tongue”: the hopkins review toward the evening of the gone world, the light of its last sum- mer pouring into a chelsea street found and suffused the red waistcoat of henry james, lord of decorum, en promenade, expos- ing his young niece to the tone of things. davenport, admittedly in low spirits, replied: gone world? what’s that mean? i simply would not begin that way. a later chapter, perhaps, but not the prow of the book. i admire your writing more than any other of our time, but i think fatigue and pressure have nudged your aim here. found is so far from its subject light that the matter between sags like a ham- mock. . . . all nieces are young. the dying light? one thing that’s running static into “gone world” is that that phrase now means (and for how long?) a world hep and with it, “gone scene,” “flipped crowd.” the light of the last summer of the world . . . build on that: it has transistor power to amply in the head. gd was wrong about the distance between found and light. h said he would think about gd’s complaint, and he did, but only to the extent of changing “the gone world” to “a gone world,” and “his young niece” to “his boston niece.” sometimes hk corrected himself. in the poetry of ezra pound, he saw imagism as the destined context of those poems. later he came to think that imagism was only a name for hilda doolittle, a paren- thesis, a side issue. the real force of literary culture in those years was vorticism, even though that, too, was swept away by the war. so the letters proceeded. kenner was far more interested than davenport in ideological forces at work; most of the ringing generalizations, and the asperities, came from him. davenport was a remarkably gifted essay- ist, a master illustrator of kenner’s books; he saw objects, things in the world, more clearly than kenner did. he was also more learned than kenner in architecture and film: his reviews of those disciplines had wider implication. but if kenner wanted to assert, as he did, that the history of modern fiction in english did not need to consider the works of virginia woolf, d. h. lawrence, or vladimir nabokov, davenport was not impelled to object. denis donoghue so we think of these two remarkable men, each in his own place, lexington and santa barbara, as if neither of them would ever move, but that is not the case. davenport stayed in lexington, but kenner moved from santa barbara, even though the move entailed giving up the house he loved and the geodesic dome he had built in his back garden at la espada drive. on november , he wrote to davenport to say that johns hopkins had made him an offer: hopkins have come through with their written offer, and we shall spend the weekend reading the fine print. i think chances are now % that we will take it, painful though it would be to part with this house. i see long dark years for calif, under endless pressure to justify the taxpayer’s contribution to the inordinate expense by upping teaching hours and playing down research. also existence of highpriced profs (such as me) is starting to be manipulated into public scandal. the state has discovered the usefulness of quoting random salaries, esp. in the medical school, to make taxpayers feel indignant. he went to johns hopkins early in , stayed there until he made his final move, to the university of georgia at athens, georgia in , where he remained till he retired in . davenport won a macarthur fellowship in july , whereupon he retired from teaching. the pound era ( ) made a crucial difference to kenner’s life. guest lectureships filled his calendar. in april he turned down an invita- tion from columbia to take up the chair of the retiring lionel trilling, and a similar one from yale to take the retiring cleanth brooks’s chair. too late: he had committed himself to johns hopkins. after the publi- cation of the pisan cantos in , it was no longer decent to claim that pound was an ignoramus or, as william empson put it, that “he actu- ally hadn’t to do any conscious thinking for fifty years or so.” kenner’s study of his poetry ( ) established the scale and seriousness of pound’s enterprise. the pound era raised and answered a question: what would modern poetry in english look like if you were convinced that pound was its great enabler? kenner’s answer was that pound’s the hopkins review work made possible the tradition we call objectivism: made possible, that is, the poetry of marianne moore, william carlos williams, george oppen, carl rakosi, louis zukofsky, and other poets only less known. the best chapters in the pound era are “the invention of language,” “words set free,” “the invention of china,” and the persistent east.” years before, pound advised kenner to get to know the great men of his time (not mentioning the great women). kenner nearly fol- lowed that advice. the great men, in his estimate, were joyce, pound, eliot, wyndham lewis, marianne moore (an exceptional woman), buckminster fuller, frank lloyd wright, william carlos williams, and beckett. if joyce had lived or years after , kenner would have sought him out and cherished him, or most of him. he might have dis- puted finnegans wake, having found no cause to change the opinion of that book he was to confide to the pound era, “the mind of europe in shock, babbling a long dream, stirring, swooning.” davenport added charles ives and eudora welty to the list. eliot was hard to place: not by any stretch of definition an objectivist. kenner placed him in the only silly chapter of the book, a description of the great poet giv- ing kenner lunch in the garrick club and fidgeting with the cheeses. yeats? if he had lived another years after , i don’t think kenner would have sought him out, yeats was not poundian enough, despite his having spent those winters with pound in stone cottage. besides, hk always sold yeats short and got him wrong. in the pound era he says that after the war ( ) yeats wrote “as if nothing had occurred but irish troubles.” not true: “leda and the swan,” the two byzantine poems, and many more of yeats’s best later poems have nothing to do with ireland’s troubles. edmund m. burns, impeccable editor, raises a question: why did this correspondence between hk and gd end, or peter out when it did? gd’s letter of december , notes, accurately, “we, you and i, are beginning to drift out of synchronicity.” there was a time when a letter received by either man in the morning was answered that denis donoghue afternoon, even if a trip to the library was necessary, over lunchtime, to check a detail. professor burns does not claim to have an answer, but he thinks that hk may have got tired of recognizing—or pretend- ing not to recognize—gd’s bisexuality. maybe, or rather, probably. hk was a family man, father of seven children, a convert to roman catholicism; he had heard the rumor, long rampant in lexington, that professor davenport was inordinately fond of good-looking young men. i suggest a further consideration, some of davenport’s fiction. davenport wrote three kinds of fiction. in one, he turned an early meeting, often a meeting in the greek classics, into a modern story. that was fine. a second kind was cubist, featuring a determination to give his fiction the freedoms the cubist painters took. this fiction challenged the assumption that the values claimed by common sense and realism are self-evident, they are their own proof. suppose they were not. suppose they had “won” only through the force of local resemblance, itself a dubious piece of evidence. then the appeal to self- evidence could be said to be hypocritical. in an essay on the poetry of jack sharpless, davenport quoted a few of his lines and said: “we can detect a cubist strategy, wherein fractal notations function as complete images (lines across a circle for a guitar, jour for le journal), but the trouble with this sentence is that it merely postpones the moment in which we decide that we see a guitar. cubism is more dramatic than that: we are reading a cubist painting badly if we translate certain lines and shapes into a guitar or indeed anything else. but the question of cubism was common to hk and gd. in kenner revised an early essay on joyce’s a portrait of the artist as a young man mainly to change its title from “the portrait in perspective” to “the cubist portrait.” his reason: the laws of perspective place painter and subject in a fixed geo- metrical relation to one another, in space and by analogy in time. here [in the portrait] both of them are moving, one twice as fast as the other. joyce’s portrait may be the first piece of cubism in literary history. the hopkins review many—too many—of gd’s stories amount to a boys’ own erotic dream. i assume that hk read these quickly, once, and put them aside. i don’t believe he spent much time over “gunnar and nikolai.” the kenners liked “the aeroplanes at brescia,” a beautiful piece of cool narrative,” as hk wrote gd to say: like the warhol which requires that one know the existence of brillo boxes in the real world, it exists by virtue of one’s faith/ knowledge that it is true. thus an invented encounter between fk [kafka] and lw [wittgenstein]—merely an encounter, not an imaginary conversation—would be of no interest whatever. “history” and the daily paper also depend on one’s trust, but their aim is a soporific fidelity. yours is like trompe l’oeil, a hal- lucinatory vividness imparted to the forgotten actual. not entirely accurate. the “forgotten actual” refers only to a small piece of “the aeroplanes at brescia,” the fact that kafka and two friends went to see the experimental flights there. what they saw there, felt, and said to one another: these are gd’s invention. so is the end of the story, which hk doesn’t mention: franz! max said before he considered what he was saying, why are there tears in your eyes? i don’t know, kafka said. i don’t know. in a more-or-less realistic story, this counts as a suspension of real- ism. we have no idea what kind of tears these are. nor has max. nor, probably, has franz. there is no immediate cause. blériot is piloting the plane up and down over brescia. there is no crisis. a page or two back we have this sentence: “the man named wittgenstein was again holding his left wrist, massaging it as if it were in pain.” another sus- pension of the realist style: no reason is given. it is as if a cubist line were drawn, without explanation or apology. back to franz’s tears: i vote for tears of joy. in the later letters pound is replaced to some extent by beckett. it was difficult to approach pound between his wife dorothy and com- denis donoghue panion olga. even in st. elizabeth’s there were miscellaneous visitors. hk and gd felt, i think, that on pound they had said their full. new themes were arising, mostly from gd’s exertions on greek literature. one was the fragment. so many greek poems reached scholars in broken lines. what was a scholar to do, looking at a papyrus? kenner was immensely interested in these questions, but there are signs that they reduced him to the condition of an amateur. not a condition he enjoyed. still, the letters are a treasure. transcurssive logic as method international journal of research & methodology in social science vol. , no. , p. (jul. – sep. ). issn - (online) www.socialsciencepublication.com the map and the universe the work of maurits cornelis escher from a cultural-historical approach gustavo a. masera, maría gabriela vasquez, and dante r. salatino about the author(s)  gustavo a. masera, multidisciplinary institute of contemporary social studies (imesc- idehesi), faculty of philosophy and letters, national university of cuyo. email for correspondence: gustavo.masera@gmail.com  maría gabriela vasquez, multidisciplinary institute of contemporary social studies (imesc- idehesi), faculty of philosophy and letters, national university of cuyo. email for correspondence: mariagabrielavasquez@yahoo.com.ar dante roberto salatino is a researcher of the institute of philosophy and of the institute of linguistics - lecturer in the general psychology department - faculty of philosophy and letters - teacher and researcher in artificial intelligence in the mechatronics career - faculty of engineering - national university of cuyo - email for correspondence: dantesalatino@gmail.com abstract the purpose of this work is to investigate the use of mathematics in the work of maurits cornelis escher ( - ). from a cultural-historical approach, a periodization is proposed; it consists of four phases, each of which reveals the different conceptions that the artist assumed in the application of mathematics for the elaboration of his engravings, woodcuts and drawings: in the form of a utility instrument; in as much principle ordaining / syntactic; as a germ of the artistic form; and as the main means of representation. this classification is a contribution, as it offers a look at his creative life through a sense approximation. it incorporates a section with an examination about the meaning of the images and artistic objects from the transcurssive logic (lt). finally, we presented some emerging discussions and final reflections. keyword: escher, mathematics, art, cultural history, transcurssive logic citation: masera, g.a., vasquez, m.g., and salatino, d. r. ( ). “the map and the universe: the work of maurits cornelis escher from a cultural-historical approach.” inter. j. res. methodol. soc. sci., vol., , no. : pp. – . (jul. – sep. ); issn: - . mailto:gustavo.masera@gmail.com mailto:mariagabrielavasquez@yahoo.com.ar mailto:dantesalatino@gmail.com international journal of research & methodology in social science vol. , no. , p. (jul. – sep. ). issn - (online) www.socialsciencepublication.com tyger, tyger, burning bright, in the forests of the night; what immortal hand or eye, could frame thy fearful symmetry?’ william blake. songs of experience ( ) . maps and territories walter benjamin ( ) maintained in his childhood memories that the best way to know a city was to get lost in it. some people, he adds, even if they do not have an accurate map of the labyrinth, glimpsed clues that allow them to reconstruct the path of the urban forest. in a similar way, from ancient times, the sages tried not to wander blindly. to locate themselves and understand their position (egyptians, chaldeans, hindus, etc.), they analyzed the regular movement of the stars. subsequently, in the cultural environment of classical rational thought, the early greek philosophers deployed arguments about the fundamental principle of all elements. the pythagoreans, for example, argued that the number was the key to the regular harmony of the universe, where each figure corresponded to a musical note (gomperz, , martinez, ). subsequently, alfred korzybski ( ), conceived the idea that the map is not the territory, just as a word is not the object it represents. in his semantic analysis, he identified three additional features: ) a map cannot represent the whole territory but only a parcel of it; ) each map also includes everything that helps the mapping of a territory, including the analysis of psychology and the philosophical and ideological substratum of the map maker (his assumptions and presumptions, his technical skills, his vision of the world, etc.). ); ) maps have the feature of being self-reflective, since as an "ideal" one should include a map of the map, in a successive and infinite fractal repetition. in addition, he argued that languages, as systems of formulation, are maps and only maps of what they pretend to represent (korzybski, : xvii). this awareness led to the three premises of general semantics that can be extended to various languages (artistic, mathematical, etc.). from the perspective of cultural history (bonnell and hunt, ; hunt, ), escher's work, in a metaphorical sense, is an attempt to aesthetically represent, through symbols, allegories and artifacts, the map of the universe. in this sense, his engravings, drawings and woodcuts are beautiful reflections, at times disturbing, of the geometric order that is imposed on the perception of a subject immersed in that complex reality - although not irrational - that he tries to represent and understand. the concept of culture includes the study of mentalities, ideologies, symbols and rituals, in relation to both the high culture and the popular. the system of symbolic and linguistic representation of a society is understood through culture. we must add that the theme of "representation" has long been recognized as the central problem of cultural history. one of its questions can be posed in the following way: what is the relation between a work of art (painting, novel, etc.) and the world it pretends to represent? (bonnell and hunt, : preface; hunt, , - ). . art and mathematics: an approach to escher mathematics is a formal science, with an ambiguous relation to the world. it begins and develops in its early stages with exclusively practical purposes: counting, measuring, arithmetic operations. however, it is later discovered that they also facilitate the systematic study of natural phenomena (berlinghoff and gouvea, ) and provide models of representation of emerging patterns in nature (novak, ). while sciences would be impossible to imagine without the support of mathematics in its formalization, there is no general agreement on the epistemological condition of mathematics. it is so that many schools of thought have reached different conclusions, mainly on the correspondence between mathematical entities and objects of the universe. are these mathematical entities real or ideal, empirical or the result of our mental operations, proper to intuitions and potential human international journal of research & methodology in social science vol. , no. , p. (jul. – sep. ). issn - (online) www.socialsciencepublication.com cognition or simple fictions? for example, for kant, it is our very perception that structures reality in this way. in other words, only what is reflected as reality in our mind obeys the mathematical rules; but nothing can be known from the outside world, only some phenomenal aspects, always insufficient, partial and scarce (eilenberger, ). however, since pythagoras, as an emblematic figure of geometric knowledge, mathematics has become one of the highest expressions of human imagination in the effort to understand the ultimate structure of reality (cucker, ). it is clear from the reference made by iamblichus ( ) that at its deepest level, reality is of mathematical nature. for pythagoras the first essence was the nature of numbers and proportions which extend through all things, according to which everything is harmoniously disposed and properly ordered. other authors have insisted on the aesthetic dimension of mathematics, perhaps due to the inherent harmony emanating from the construction of axiomatic systems, theorems, and demonstrations. it has even been claimed that the precision of formal definitions and deductions carry some beauty. in the words of gian-carlo rota ( ), the conquest of beauty distinguishes mathematics from the rest of the sciences. robert kaplan and ellen kaplan ( ) are a key reference on intellectual and aesthetic pleasure in mathematics, since they published on the discovery of zero and the finding of irrational (algebraic / transcendent) numbers. besides, h.s. coxeter ( ) should be remembered for the diffusion of his essays on the perfection of geometry; to heinz-otto peitgen and peter ritcher ( ) for his analysis of the quasi-perfection of fractals in complex dynamical systems and to ulianov montano ( ), who developed an aesthetic theory of mathematics. we must also mention the influence of scientists henri poincaré and geoffrey hardy on the artistic world, especially the first, since escher used the ‘poincaré disk model’ of hyperbolic geometry to establish the patterns of his series ‘circle limit’ (dunham, ; coxeter, ). the arts have frequented and used, since ancient times, tools related to mathematics (cucker, , capecchi et al., ). as lynn gamwell ( ) points out, mathematicians and artists have long sought an understanding of the physical world presented to them and abstract objects they know only with thought. a broader work would require a reference to the philosophical ideas that drive the discipline (platonic idealism, intuitionism, constructivism, structuralism, etc.) and of a cultural and intellectual history, in order to recover the semantic itinerary of mathematical concepts and socio-historical contexts in which they have been expressed by artists (measure, proportions, perspective, infinity, fractal dimensions, symmetry, geometric configurations). the relationship between mathematics and the arts can be seen from the 'inspiration of two- way'. for instance, the link between geometrician h.s. coxeter and artist escher shows a reciprocal influence and fertile combinations of complementary perspectives (coxeter, ; ). undoubtedly, mathematics have encouraged the development of the arts in various ways. the visual arts, on the other hand, have collaborated in the generation of mathematical formulations through the aesthetic representation of theoretical and instrumental paths, and even, they have advanced with their intuitions to the proposal of new scientific hypotheses. for example, relations between relativistic physics, deep psychology, and art (cubism, surrealism, etc.) are notorious. an example of the synergy between science and art is revealed by escher, who was one of the plastic creators, designer and illustrator, who has better graphically reflected modern mathematical and topological thinking. the mathematical interest of escher, leads the artist to discover in the mathematics the ultimate structure of reality. the dutch artist intuitively agreed to some mathematical ideas that aesthetically seduced him and allowed him to understand the logic of patterns, regularities, symmetries, and repetition of motifs, as he observed them in the intricate euclidean plane of mosaics and tessellations of granada (schattschneider and emmet, ; critchlow, ). the impact of islamic culture on escher cannot be overemphasized. although he had already traveled the peninsula during the s, it was during his trip to granada in , stopping several days to contemplate the wonders of andalusí art, that escher was excited by majolica of the alhambra and the set of the nazari palaces, all of international journal of research & methodology in social science vol. , no. , p. (jul. – sep. ). issn - (online) www.socialsciencepublication.com which generated a permanent effect on his work, particularly on his tessellations. (abas, ). this aesthetic discovery will allow you to move from the elaboration of natural panoramas and mountainous villages to mental landscape. . phases in the work of escher there are a lot of studies on escher, who stop with fascination in the analysis of their skill in drawing or of their skills in engraving. schattschneider ( ) asks: "how (escher) did it?", and with this question tries to reproduce the attitude that arises with all plainness and disbelief before the astonishment that produces his work. however, this work has already been developed by many authors especially by geometers who have sought to elucidate the scientific foundations of their work (abas, , coxeter , emmer , hart, and schattschneider ; ; schattschneider and emmer, ). for this reason, the contribution of the present article is to inquire on the orientation and reasons of such a trajectory. the different perceptions on the artistic production of escher raise the problem of the "reception" of the works of art. we argue that excessive emphasis has been placed on its use of geometric techniques and on mathematics as an instrument. according to bruno ernst ( ), escher employs figures of mathematical inspiration in three primordial areas: a) the structure of space (landscapes, world comprehension, mathematical bodies and abstract forms); b) the structure of the surface (metamorphosis, interlaced figures of birds and fish, cycles and approaches to infinity); c) the projection of three-dimensional space in the plane (traditional pictorial representation, perspective and impossible figures). another classification of his work, indicates that the evolution in the tracing of escher's creative production comprises the following stages: i - realistic phase or mathematics as an instrument ( - ) it is characterized by the representation of landscapes, still lifes and self-portraits. it starts with panoramas of small towns in italy and mediterranean coasts, and then revives them at various times. the most famous works are: “castrovalva” ( ), lithograph representing a small city of abruzzo; “still life with mirror” ( ); “hand with reflecting sphere” ( ), “three spheres ii” ( ), and “three worlds” ( ). in these works, m. c. escher uses mathematics as an instrument because the mathematical mechanisms allow him to reproduce, alter and falsify perspectives, depths and proportions. in this, the uses of geometry applied since giotto ( - ) are carried to an end. here, the instrument refers to the set of techniques that allow you to do the works you imagine. he becomes a good craftsman. he has learned from piero della francesca, giotto, and the architectural master alberti, etc. escher enlists the help of mathematics and strength until he finds the forms he seeks. but the conception of the work appears as prior to the application of the mathematical device. mathematics is definitely outside the work of art, like the other utensils used in its design and elaboration. ii - phase of metamorphosis or mathematics as pragmatic ( - ) the essence of representations is the transformation of the two-dimensional into three-dimensional, of figures that change in other figures, of optical and geometrical illusions. the more representative works of this period are: “metamorphosis i” ( ), “day and night” ( ), “doric columns” ( ), “magic mirror” ( ), “drawing hands” ( ). escher begins to use mathematics to dictate the syntax of works and generates the contents with formulas: appear repetitions, iterations, conversions, mutations. the artist has become a mathematical researcher (schattschneider, ). it seems to interpret, in an embryonic way, galileo's statement that nature is written in mathematical language. this conception leads him as an artist to precision, being carried away by the dictates of mathematics. this means, in addition, that the initial concept is executed according to an imposed international journal of research & methodology in social science vol. , no. , p. (jul. – sep. ). issn - (online) www.socialsciencepublication.com logic, in which the author relies blindly. in the construction of the artistic object, escher accepts the mathematical mandate, so that the forms, dyes and relations between the represented entities respond to an external and rigorous pragmatics. iii - phase of dichotomies or mathematics as metaphysics ( - ) escher explores unconventional points of view and experiments with new methods and techniques to represent perspectives, depths, vanishing points and convergence, mainly in prints in fractal dimensions and with perspectives. the parallel existence of physical and abstract objects evidences the dichotomy that the artist discovers between manifest reality and mental constructs. in escher’s paintings and drawings many abstract entities, purely mathematical and dissociated from the representations of reality emerge. escher is again one, but now the conflict is between modes of representation. it does not reach a synthesis, and it is forced to look for new (non-conventional) points of view. without systematic philosophy, though he thinks through visual images, the artist discovers that there are entities that can be and are fully described by mathematics. the works representative of this phase are “other world” ( ), “smaller and smaller” ( ), “gallery” ( ), “crystal” ( ), “stars” ( ),”convex and concave” ( ), “print gallery” ( ), “ascending and descending” ( ), “waterfall” ( ); and a series of moebius tapes, etc. iv - phase of approximations to infinity or mathematics as universe-world ( - ) these works use a concept of hyperbolic geometry and fractal principles. it can be seen that the more escher immerses in technical problems, each work tends to reveal the more from the artifices of its construction. thus, the work flows from formal norms and rules, from the mathematical recipe that sustains it, and reality (what the artist once considered to be real) vanishes. escher asks himself: "... this work belongs to the realm of mathematics, or to the realm of art?" the answer is in his works. he is no longer interested in using mathematics to do his work, and he does not want to express himself in mathematics; the universe (and not just its world, the restricted world of its art) is mathematical, mathematics is the ultimate reality. significant works of the period are “three spheres i” ( ), the series of circle limit, in particular “circle limit iii” ( ), “path of life iii” ( ), “metamorphosis iii” ( ). the creativity in the work of escher according to the transcurssive logic according to transcurssive logic, human creativity emerges from the common substrate that constitutes the fundamental aspects that underpin subjective reality. this 'universal language' indicates: what are the aspects of behavior that once integrated by the cognitive, appear on the surface as a determined behavior (salatino, , p. ). in turn, creativity can be equated with a true language, where the 'universal language' of frank biological rootedness would behave as its 'syntactic aspect'. a natural language (salatino, ) that characterizes the affections that strengthen both the volitional and the cognitive in our psyche, would act as a 'semantic aspect'. finally, a conventional language enabled for communication in the sociocultural environment, would support its 'pragmatic aspect'. the 'backbone' of generic language representing creativity lies in the close relationship that exists between the deep elements of its three components (salatino, , pp. - ). that is, experiencing or the visceral organization of knowledge through the ‘universal language.’ the intuition or affective integration of the three basic elements through the ‘natural language’, and ‘creating’ or social projection of feelings and motivations are combined with the help of conventional language. figure records this subjective approach and its application to the stages of escher's artistic production international journal of research & methodology in social science vol. , no. , p. (jul. – sep. ). issn - (online) www.socialsciencepublication.com fig. - pau of creativity in escher. references: s: subject – lc: conventional language – ln: natural language – lu: universal language . discussions on the escher's last phase in the last stage of escher's work, mathematics no longer only facilitates the representation of reality but became the substantial structure of the universe as a reflection of an "implicate order" (in the semantics of david bôhm, ). escher's works anticipate theories such as max tegmark's 'mathematical universe hypothesis' ( ), which plainly states: “our external physical reality is a mathematical structure” and present some unknowing resonance with the perspective on the 'universe geometric 'of penrose (see huggett, ). whatever the descendants or the coincidences of their legacy, escher's vision is a return to neo-pythagorean conceptions (perhaps with neoplatonic components). here infinity is a plausible idea, although it is never reached in phenomenal reality. with these concepts closes the cycle initiated by the school of crotona centuries ago, where it is affirmed that there is nothing that is not mathematics. or perhaps, better expressed: everything that exists can be thought with mathematical methods. thus, it can be said that the ultimate purpose of his works was to expand the 'doors of perception' (aldous huxley), to model aesthetic expressions that represent the mathematical mapping of the universe. but, escher goes even further. the artist has seen the higher order of the universe, he has glimpsed the key of that knowledge, the figure of the structure. the pictorial works of this phase are an attempt to capture the "truth" of this vision. in part, it is the symbolic dichotomy presented by danto ( ), between artworks and real things. escher expresses this contradiction through aesthetic language, despite understanding (or precisely because of) that the senses perceive always partial and laboriously. as blake wrote: “in the infinite void, but tied to the earth by its narrow perceptions.” (william blake. the book of urizen: chapter ix, v. four). escher intuited - in the lexicon of alfred korzybski - that the map, that is, the language (artistic or mathematical) is not the territory, it's just a representation of it. for these reasons, the work of art, although it reaches the canons of beauty, is ultimately a "failure." at this point, a deeper philosophy is accessed, as the author becomes aware of the limits imposed by external physical reality to language and cognitive ability (penrose, ). . conclusion i. an approach to escher's work from cultural history facilitates the reconstruction of the process by which mathematical ideas intertwine with the visual arts. this approach also international journal of research & methodology in social science vol. , no. , p. (jul. – sep. ). issn - (online) www.socialsciencepublication.com reflects the possibilities of a "reasoned" history by identifying the intersections between geometric objects, mathematical concepts, works and philosophical genealogies. ii. escher's artistic production combines a set consisting of impossible constructions, geometrical paradoxes, space structure, imaginary worlds, metamorphoses, symmetries and tessellations, etc. these areas are reflected in a series of disturbing beauty, which allow the author not only to play with optical illusions but to challenge the usual modes of representation. iii. escher 'transfigured the commonplace' (danto, ), by illustrating with (from) his artistic images that the structure of reality is deeper, complex and diverse than that which is imprinted by the 'veracity' of sensory processes and the "normal" discernment of the outside world. iv. escher's relationship with mathematics changed in the different phases of his work, from a period where they play an instrumental role to another where they are the key to make the essential order of the cosmos intelligible. escher intuited the mathematical structure of the universe and tried to represent this idea through his artistic production. in its last stage, mathematics (the map) constitutes the ultimate structure of reality (the universe). v. from the perspective of the tl, escher's work interpellates: what is actually perceived? moreover, how does the subject perceive and represent the reality (geometrical) in which he is immersed (and at the same time trying to understand)? from this point of view, the creativity that in escher is an eminent manifestation, gives answer to these questions from the intuition and the experience of life. references abas, s. j. ( ). “islamic patterns: the spark in escher’s genius”, in: schattschneider, d. and m. emmer, op. cit., p. - . berlinghoff, w. and f. gouvea ( ). math through the ages. farmington, oxton house. benjamin, w. ( ). berlin childhood around . cambridge: mass, the belknap press of harvard univers ity press, edition . biernack, r. ( ). “method and metaphor after the new cultural history”. in: v. bonnell and l. hunt (edit.). beyond the cultural turn, new directions in the study of society and culture. berkeley and los angeles university of california press, pp. - . bohm, d. ( ). wholeness and the implicate order. london, routgledge. bonnell, v. and l. hunt (edit.) ( ). beyond the cultural turn, new directions in the study of society and culture. berkeley and los angeles university of california press capecchi, v., m. buscema, p. contucci , b. d’amore (edits.) ( ). applications of mathematics in models, artificial neural networks and arts.. dordrecht, springer, coxeter, h.s.m. ( ). “the non-euclidean symmetry of escher’s picture ‘circle limit iii.” leonardo, v. , pp. - , pergamon. coxeter, h. s. m. ( ). the beauty of geometry. new york, dover books. coxeter, h.s. m. ( ). “l’oeuvre d’escher et les mathématiques”. l.l. locher (dir.). le monde de m.c. escher. paris, chene, a. édition, pp. - . critchlow, k. ( ). islamic patterns: an analytical and cosmological approach, london: thames and hudson. international journal of research & methodology in social science vol. , no. , p. (jul. – sep. ). issn - (online) www.socialsciencepublication.com cucker, f. ( ). manifold mirrors.the crossing paths of the arts and mathematics, cambridge, cambridge university press. danto, a.c. ( ). the abuse of beauty. chicago, open court. danto, a. c. ( ). ‘artworks and real things’, theoria, volume , issue - , april , pp. – . dunham, d. ( ). ‘"more ‘circle limit iii’ patterns", the bridges conference: mathematical connections in art, music, and science, london: uk. http://www.d.umn.edu/~ddunham/isis /section .html emmer, m. ( ). “escher, coxeter and symmetry.” international journal of geometric methods in modern physics, volume , september. issue n , pp. - , ernst, b. ( ). the magic mirror of m. c. escher, new york, ballantine. gamwell, l. ( ) mathematics and art: a cultural history. princeton and oxford, princeton university press. gomperz, t. ( ). pensadores griegos. barcelona, herder, vol. . hart, s. ( ). ‘escher and coxe. a mathematical conversation’. conference gresham college. recurso digital obtenible link permanente: https://www.gresham.ac.uk/lectures-and- events/escher-and-coxeter-a-mathematical-conversation# hymfa otseepp y. huggett, s.a. (edit.).( ). the geometric universe science, geometry, and the work of roger penrose. oxford, oxford university press. hunt, l. (edit.) ( ). the new cultural history, berkeley and los angeles, california, university of california press. iamblichus ( ). iamblichus' life of pythagoras. pythagoric life, london, j. w. watkins, translation by thomas taylor. kaplan, r. and e. kaplan ( ). the art of the infinite. the pleasure of mathematics. oxford, oup. korzybski, a. ( ) { }. science and sanity, brooklyn, new york, usa, institute of general semantics, fifth edition. martinez, f. ( ). historia de la filosofía. madrid, ediciones itsmo. montano, u. ( ). explaining beauty in mathematics: an aesthetic theory of mathematics. cham-heidelberg, springer. novak, m. (edit.) ( ). complexus mundi: emergent patterns in nature. new jersey, world scientific. peitgen, h.o. and p. richter. the beauty of fractals images of complex dynamical systems. berlin, springer. penrose, r. ( ). lo grande, lo pequeño y la mente humana. cambridge university press, madrid, . rota, g.-c. ( ). ‘the phenomenology of mathematical beauty’. synthese. vol. , no. , pp. - . salatino, d. r. ( ). aspectos psico-bio-socio-culturales del lenguaje natural humano. introducción a la teoría psíquica del lenguaje - mendoza, argentina - desktop publishing, amazon. salatino, d. r. ( ). tratado de lógica transcursiva. origen evolutivo del sentido en la realidad subjetiva. mendoza, edición del autor. schattschneider, d. and m. emmer (edits.) ( ). m.c.escher’s legacy. a centennial celebration. (collection of articles coming from the m.c. escher centennial conference rome ). new york, springer schattschneider, d. ( ). visions of symmetry. notebooks, periodic drawings and related works of m. c. escher. n. york, freeman. schattschneider, d. ( ). ‘mathematics and art. so many connections’. math awareness month. recurso digital obtenible en link permanente: http://www.mathaware.org/mam/ /essay .html http://www.d.umn.edu/~ddunham/isis /section .html http://www.mathaware.org/mam/ /essay .html international journal of research & methodology in social science vol. , no. , p. (jul. – sep. ). issn - (online) www.socialsciencepublication.com schattschneider, d. ( ). “the mathematical side of m.c. escher.” notices of the ams, vol. , n. , pp. - . shapiro, s. ( ). philosophy of mathematics: structure and ontology. oxford: oxford university press. smit, b. de and h. lenstra ( ). “the mathematical structure of escher’s print gallery.” notices of the ams, v. , n. : - . tegmark, m. ( ). our mathematical universe: my quest for the ultimate nature of reality. new york, knopf. jdiq - - a challenge for long-term knowledge base maintenance christan earl grant and daisy zhe wang, university of florida categories and subject descriptors: h. . [systems]: query processing general terms: design, algorithms, performance additional key words and phrases: knowledge base, probabilistic knowledge base, inference, entity resolu- tion, databases acm reference format: christan earl grant and daisy zhe wang. . a challenge for long-term knowledge base maintenance. acm j. data inf. qual. , – , article (june ), pages. doi: http://dx.doi.org/ . / . introduction knowledge bases (kbs) are repositories of interconnected facts with an inference en- gine. companies are increasingly populating kbs with facts from disparate sources to create a central repository of information to provide users with a richer and more integrated user experience [herman and delurey ]. additionally, inference over the constructed kb can produce new facts not specifically mentioned in the kb. google is now employing kbs to surface additional information for user search [dong et al. a]. manually constructed kbs, such as yago [hoffart et al. ] and dbpedia [auer et al. ], are increasingly being used as the gold standard and ground truth of newer kbs [dong et al. b]. however, the growing number of kbs inside an organi- zation require a sufficiently high level of quality and must be meticulously maintained. both yago and dbpedia were constructed based on data from wikipedia. within wikipedia, the medium lag between the occurrence of a notable event and the addition of the event was measured at days [frank et al. ]. this fact spurred many efforts to discover methods to automatically build, extend, and clean kbs [frank et al. ; ellis et al. ; ji et al. ; surdeanu and ji ]. in these contests, teams build systems to explore the creation of web-scale kbs; however, by and large, these contests stop short of designing systems for deployment in a production system. we believe that there are two main questions that are wholly understudied across research communities: in kbs, over time, ( ) what stale information needs to be cleaned? and ( ) when should this information be updated? this work was partially supported by darpa under fa - - - - (deft/cubism) and nsf grad- uate research fellowship grant dge- . authors’ address: c. e. grant, e - computer and information science and engineering department, university of florida, gainesville, fl ; email: cgrant@cise.ufl.edu; d. z. wang, e computer and information science and engineering department, university of florida, gainesville, fl ; email: daisyw@cise.ufl.edu. permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies show this notice on the first page or initial screen of a display along with the full citation. copyrights for components of this work owned by others than acm must be honored. abstracting with credit is permitted. to copy otherwise, to republish, to post on servers, to redistribute to lists, or to use any component of this work in other works requires prior specific permission and/or a fee. permissions may be requested from publications dept., acm, inc., penn plaza, suite , new york, ny - usa, fax + ( ) - , or permissions@acm.org. c© acm - / / -art $ . doi: http://dx.doi.org/ . / acm journal of data and information quality, vol. , no. – , article , publication date: june . http://dx.doi.org/ . / http://dx.doi.org/ . / : c. e. grant and d. z. wang in this article, we present a challenge to the information quality community to develop techniques that support the long-term support and maintenance of critical, rapidly growing kbs. we follow this challenge with two notable papers that make strides in this direction. we end this group of papers with a discussion of three research questions in response to this challenge. . related work yahoo! recently released a description of woo [bellare et al. ], which is their internal system for managing entity resolution over the growing number of entities across the web. as new information is ingested into woo, it uses a custom search engine to find candidate entities and enqueues them for possible updates. the woo paper is focused on the synthesis of kbs from existing sources; it does not fully explore inference for growing the kb. growing kbs using inference over the existing facts, although helpful, can introduce difficult errors and is mostly avoided by woo. this type of kb expansion exacerbates the need for innovative quality control methods. the never ending language learner (nell) continuously builds and expands knowledge bases through information extraction and inference [carlson et al. ]. part of the growth of nell is the development of innovative techniques to continuously review and validate existing information. the challenge that we pose is to investigate nell-style systems inside enterprise kbs, where system management is critical. . challenge and research direction we present a challenge for the information quality community to integrate the in- formation quality pipeline into large-scale kbs. solutions to the research challenges presented next will help kbs to continue to grow rapidly while ensuring that they are suited for an organization’s business usage. there are three general areas that we believe can receive immediate return from the information quality community: —probabilistic kbs: many organizations prefer that their active data stores contain only pristinely maintained information. expanding kbs using inference can intro- duce many types of errors. naturally, organizations are averse to the more aggressive yet noisy growth strategies. one promising approach to this problem is to maintain the provenance and confidence of each fact and extraction [wang et al. ]. infor- mation cleaning using these types of probability-aware kbs can provide a powerful kb that allows users to supply thresholds on the facts that they trust. —scheduling quality audits: aging kbs will inevitably contain information that ex- pires, becomes invalid, or simply is proven inaccurate. monitoring kbs for entities, relationships, and facts with questionable quality is required to maintain kb qual- ity. over time, the existence of bad data is extremely elusive. crowdsourcing (adding a human in the loop) to validate facts is a leading approach to ensure clean facts in kbs. although accurate, crowdsourcing is more expensive and slower than au- tomated methods. an interesting direction is deciding how to schedule kb quality audits in an organization kb in accord with varying time, confidence, and probability budgets. an initial approach is to use the popularity of existing facts in addition to calculating the uncertainty to prioritize updates. —incremental kb maintenance: speedy extraction of facts from a data source presup- poses the need for rapid and incremental methods for updating kbs. incremental or streaming techniques require focused computation to meet demanding rates of change. however, for long streams of updates, simply storing results in memory is too expensive. an interesting research direction is to investigate the trade-offs between online, batch, or query-driven techniques for computing kb updates, inferences, and validation. acm journal of data and information quality, vol. , no. – , article , publication date: june . a challenge for long-term knowledge base maintenance : references sören auer, christian bizer, georgi kobilarov, jens lehmann, richard cyganiak, and zachary ives. . dbpedia: a nucleus for a web of open data. in proceedings of the th international semantic web conference and nd asian semantic web conference (iswc’ /aswc’ ). – . kedar bellare, carlo curino, ashwin machanavajihala, peter mika, mandar rahurkar, and aamod sane. . woo: a scalable and multi-tenant platform for continuous knowledge base synthesis. proceedings of the vldb endowment , , – . andrew carlson, justin betteridge, bryan kisiel, burr settles, estevam r. hruschka jr., and tom m. mitchell. . toward an architecture for never-ending language learning. in proceedings of the th aaai conference on artificial intelligence. xin dong, evgeniy gabrilovich, geremy heitz, wilko horn, ni lao, kevin murphy, thomas strohmann, shaohua sun, and wei zhang. a. knowledge vault: a web-scale approach to probabilistic knowledge fusion. in proceedings of the th acm sigkdd international conference on knowledge discovery and data mining (kdd’ ). acm, new york, ny, – . xin luna dong, evgeniy gabrilovich, geremy heitz, wilko horn, kevin murphy, shaohua sun, and wei zhang. b. from data to knowledge fusion. proceedings of the vldb endowment , , – . joe ellis, xuansong li, kira griffitt, stephanie m. strassel, and jonathan wright. . linguistic resources for knowledge base population evaluations. in proceedings of the text analysis conference (tac’ ). john r. frank, max kleiman-weiner, daniel a. roberts, feng niu, ce zhang, christopher ré, and ian soboroff. . building an entity-centric stream filtering test collection for trec . in proceedings of the st text retrieval conference (trec’ ). mark herman and michael delurey. . the data lake: taking big data beyond the cloud. retrieved may , , from http://www.boozallen.com/media/file/ta_datalake.pdf. johannes hoffart, fabian m. suchanek, klaus berberich, and gerhard weikum. . yago : a spatially and temporally enhanced knowledge base from wikipedia. artificial intelligence , – . heng ji, hoa trang dang, joel nothman, and ben hachey. . overview of tac-kbp entity discovery and linking tasks. in proceedings of the text analysis conference (tac’ ). mihai surdeanu and heng ji. . overview of the english slot filling track at the tac knowledge base population evaluation. in proceedings of the text analysis conference (tac’ ). daisy zhe wang, yang chen, sean goldberg, christan grant, and kun li. . automatic knowledge base construction using probabilistic extraction, deductive reasoning, and human feedback. in proceedings of the joint workshop on automatic knowledge base construction and web-scale knowledge extraction. – . received november ; revised february ; accepted february acm journal of data and information quality, vol. , no. – , article , publication date: june . http://www.boozallen.com/media/file/ta_datalake.pdf of literature that martin seems to favor. some- times an allusion is to a phrase used earlier in a conversation between two people, so unless we were to extend literature to such instances, even the revised definition would come up short. still, martin is right to pinpoint literature as the term whose meaning i had to leave un- questioned so that i could explore the mean- ings of allusion. however insufficiently defined in the essay, literature was far from impensé as i wrote. if my attempt to define allusion in a thirty-thousand-word essay did not prove en- tirely satisfactory, i might well tremble to define literature within the thousand-word limit of this response. but i do not hesitate to covenant with any knowing reader that for some years yet i may go on trust toward the payment of a work addressing this issue. cultures generally hold some set of texts worthy of preservation and dissemination (a collection that in western culture went until recently by the term litera­ ture, though we may not quite have a word for it now), and allusions are to this body of texts, whatever we might wish to call it. while it was indeed my premise that if i got the words right we might have a more depend- able way to discuss one literary reality, i confess that i honestly cannot understand why martin defines context as intrinsically antithetical to lexicographical initiative. are there no histori- cal circumstances in which any people are ever motivated to adopt a particular terminology for a particular kind of intellectual work? but if, after all of martin’s reservations, a blindness early in my article is regarded as hav- ing produced insight later on, i shall steer right onward, content though blind. so much the rather thou, celestial light, shine inward. gregory machacek marist college ruskin, turner, and modernism to the editor: w h i le r achel teu kolsk y ’s “moder nist rusk in, victoria n baudelaire: rev isioning nineteenth-century aesthetics” ( [ ]: – ) may reflect an understanding of fred- ric jameson’s “brief ” essay and charles baude- laire’s “anglophilia” or his “love of the elitist dandy,” it is uncertain what the article is saying about john ruskin or about modernism ( ). throughout the essay, there seems to be an in- sufficient distinction among terms like mod­ ernism, modernity, and the relative modern. there is passing recognition, early in the essay, of some of the things that modernism implies (“avant-garde experiments in high-art formal- ism and abstraction, leading to cubism, abstract expressionism, and more radical adventures in literary form” [ ]). but the title “modernist ruskin, victorian baudelaire,” though smart, is not justif ied by much of what teukolsky discusses, limited as her article is to volume of ruskin’s modern painters and an essay by baudelaire. in fact, she concludes that both of these two texts might be called “eminently” and “very” victorian ( , ). it ends up that jameson is wrong about baudelaire’s anticipa- tion of the postmodernist sensibility (e.g., ) and that baudelaire’s and ruskin’s judgments suffer from unwitting “confusions” (e.g., ). putting such points aside, there are two crucial omissions in the essay. the most serious gap is its failure to show the relevance of j. m. w. turner’s later style to a major shift in modes of aesthetic representa- tion during the victorian period. in this context (unless one looks only at turner’s early, “pictur- esque,” style), it is at best inaccurate to describe turner’s paintings as merely “vivid” and his kind of art as something that “faithfully reproduced a divinely ordered natural world . . . [his] painting and landscape [providing] mirrorlike proofs . . .” ( , ). it is more seriously dismissive of turner to conclude that “while ruskin wants to ameliorate conditions for the modern worker, his social vision is fundamentally conserva- tive and upholds social hierarchies and class divisions, especially in the elevation of turner above other spectators” ( ; my emphasis). a non sequitur like the following further indicates deprecation or disregard of turner: “yet ruskin . ] forum cannot escape the modernity he critiques. even while he assails mechanical reproduction, he . . . reproduces images of turner’s paintings in all the volumes of modern painters” ( ). rather, it is an opposite quality that is turn- er’s innovative legacy, what ruskin admired and defended, what makes turner a precursor of late nineteenth- and early twentieth-century modernist trends in art and literature. turner’s career, like the period over which ruskin’s mod­ ern painters was written, is long. turner drasti- cally changed his rendering of landscape toward the end of his career, something that displeased most contemporaneous commentators, who wanted to remain faithful to the traditional no- tion that painting should reproduce what one sees exactly, that it be “mirrorlike.” nathaniel haw thorne, t y pif y ing this puzzlement, de- scribed turner’s later paintings as “blotches of color, and dabs of the brush, meaning nothing.” he could not comprehend them as “pictures” nor guess if they “purported to represent earth, sea, or sky”: “i mean to buy ruskin’s pamphlet at my next visit, and look at them through his eyes. but i do not think i can be driven out of the idea that a picture ought to have something in common with what the spectator sees in na- ture” (english notebooks, ed. randall stewart [new york: mla, ] ). others, however, like herman melville, an admirer of hawthorne and himself a protomodernist, found the same turner paintings suggestive and inspiring. more i mp or t a nt ly, teu kol s k y ’s e s s ay does not mention one key concept in ruskin’s works—namely, his definition of the grotesque. ruskin designates this concept as the last of the three true or “noble” ideals in art and defends it against earlier assumptions, such as burke’s that the grotesque consists merely of “fanciful and terrible ideas” incapable of producing a serious effect. the true or noble grotesque, as opposed to the “ignoble” grotesque, is an appropriately “imperfect” mode. it gains significance crucial to the essence of modernism from a positive kind of imaginative “confusion” in the pres- ence of truths difficult to grasp or represent, resulting in the juxtaposition of symbols and of “gaps” in “bold and fearless connection . . . left for the beholder to work out.” ruskin is describ- ing an “abstract” quality—abstract being a less accessible term then, though ruskin uses it in- cidentally in this context (works : , , [my emphasis], ). (on the grotesque, see the whole of ch. , “of the true ideal: grotesque,” in vol. [ – ] and ch. in vol. [ – ]. modern painters runs from vol. to in the works of john ruskin, ed. e. t. cook and al- exander wedderburn, vols. [london: allen, – ].) some of ruskin’s examples (albrecht dü­rer, hans holbein, david teniers) suggest that this grotesque also deforms humanity in order to portray its reality. similarly, in land- scape observation, scenes that have the quality of “unsightliness” could produce a strange kind of pleasure, thus modifying the classical prin- ciples of “beauty” (e.g., works : ; : – ). also, turner himself was largely responsible for resurrecting british interest in giambattista piranesi, whose obsessive maze-like scenes in- dicate a representational mode that achieves its effect not by exact imitation but through hazi- ness and obscurity into which are built hints and suggestions. (for an important study of this concept, see geoffrey galt harpham’s on the grotesque: strategies of contradiction in art and literature [princeton: princeton up, ].) certainly ruskin can be contradictory. in particular, what would contradict his “modern- ism” and his admiration of the later turner is his insistence on the need for historical “associ- ation,” tradition and ruins, in the landscape—a kind of leftover “picturesque” requirement that made him dismiss the “new” american land- scape as inferior to europe’s. at the same time, we should read what he says that is relevant to what is being discussed, as well as give suffi- cient consideration to other works by the same writers and by other writers and artists, which, whether written before or after the two texts considered, whether classif ied as romantic or victorian or gothic or art-for-art’s-sake or whatever, somehow paved the way for the dis- satisfaction with traditional aesthetics and the development of new modes of representation, as forum [ p m l a in turner’s late paintings, that become charac- teristic of modernism. basem l. ra’ad al-quds university and lebanese american university reply: basem l. ra’ad is right to suggest that my essay is less interested in reading john ruskin into the explicit styles of twentieth-centur y modernism than in recuperating a more ca- pacious vision of victorianism, one that lo- cates more relativistic and destabilized modes of thinking than the stereotype of the period would allow. the overarching goal, which i ar- ticulated in the essay’s subtitle, was to “revision . . . nineteenth-century aesthetics.” yet since ra’ad raises the question of rus- kin’s ties to twentieth-century aesthetics, i will take the opportunity to pursue his theme. ra’ad argues that ruskin is modernist because turner is: in defending turner, ruskin embraces the “abstract” style that was characteristic of turn- er’s late-career paintings, thus eschewing any “mirrorlike” visual investments. this claim, unfortunately, is simply untrue. ruskin was a staunch supporter not only of turner but also of the pre-raphaelites, whose style in the s entailed a supersharp, almost photographic representation of v isua l detai l. and in t he s, ruskin accused whistler of “flinging a pot of paint in the public’s face” with his proto- modernist nocturnes (works : ). so it was not turner’s abstract brushwork that ruskin was espousing. in fact, the modernism of turn- er’s painting is a different issue than the mod- ernism of ruskin’s writing; it is fuzzy thinking to conflate the two. a careful reader of ruskin will observe that his claims are often at vari- ance with the images he ostensibly describes. this was the case with many victorian art writ- ers, who appropriated controversial artworks to debate cultural questions beyond the strict bounds of art history or criticism. in my recently completed book manuscript on victorian aesthetics, i analyze the question of ruskin’s modernism using the lens of the first volume of modern painters. published in , this text responds most directly to the firestorm in the british press that was being generated by turner’s provocative late style. far from promoting abstraction, however, modern painters i aspires to be a natural-history treatise of landscape painting: the book contains chap- ters on the “truths” of natural features such as mountains, trees, and clouds. combining lock- ean empiricism with a stern evangelical vision of nature, ruskin analyzes landscape paintings as an encyclopedia of natural forms, a catalog of the immutable object world of god’s creation. in art and illusion, e. h. gombrich pinpoints the “vast treatise” of ruskin’s modern painters as “perhaps the last and most persuasive book in the tradition that starts with pliny and va- sari in which the history of art is interpreted as progress toward visual truth” ( nd ed. [new york: pantheon, ] ). ruskin writes, “and let not arguments respecting the sublimity or fidelity of impression be brought forward here. . . . i am not talking about what is sublime, but about what is true” (works : ). ruskin’s fierce dedication to a singular truth in the ob- ject world, which he pursued in studies of nat- ural history and earth science throughout his life, contrasts sharply with the visual impres- sionism that french painters were later to find so compelling in turner’s works. rather than dismiss ruskin’s mimetic ideal as outmoded, however, i would suggest that it can also be found in modernism, in the poetic desire to escape from the suffocating enclosure of personality. appearing under the rubric of classicism or impersonality, t his modernist strain of utopian poetics aimed to escape the human, subjective qualities of language, often invoking a “picture” or “image” to figure its cold, impersonal qualities. ezra pound sounds like ruskin when he theorizes imagism in as a new poetry that “will be as much like gran- ite as it can be, its force will lie in its truth, in its interpretive powers” (“prologomena” [sic], po­ etry review . [ ]: ). in “romanticism and classicism,” t. e. hulme desires a language that . ] forum playing with creativity across the lifespan: a conversation with dr. sandra russ column: rethinking technology & creativity in the st century playing with creativity across the lifespan: a conversation with dr. sandra russ shagun singha & melissa warr & punya mishra & danah henriksen & the deep-play research group # association for educational communications & technology “play is a creative product.” - dr. sandra russ “a little magic can take you a long way” - roald dahl in this article, we continue with our series exploring crea- tivity and its relationship with technology and learning. as part of the series, we have interviewed scholars who approach creativity from psychological (richardson et al. ), social (keenan-lechel et al. ), humanist (mehta et al. ), neuro-biological (mehta et al. ), as well as a range of other disciplinary perspectives and lenses. we have also spo- ken with researchers who study creativity as it presents in different domains and contexts: as writers (cain et al. ), musicians (warr et al. ), designers (henriksen et al. ), dramatic artists (richardson et al. ), and dancers (warr et al. ). through these conversations, we have attempted to create a rich and nuanced picture of the vibrancy of current creativity research. we seek to add to that picture here through an exploration of creativity and play. our most recent conversation was with dr. sandra russ, a creativity and play expert, and interim dean of the college of arts and sciences and professor of psychology in the department of psychological sciences at case western reserve university. in this conversation, we explored her re- search on pretend play and creativity and the importance of nurturing play and creativity across the lifespan. we also ex- amined the role of play and creativity during crisis situations such as the covid- pandemic. dr. russ is a distinguished scholar and an expert in the field of creativity and play. her current role as interim dean in- volves furthering faculty scholarship, including providing fac- ulty with a supportive research environment to explore their interests and inquiries through meaningful work. she carries the title of distinguished university professor as well as a louis d. beaumont university professor and is a recipient of the rudolf arnheim award for outstanding achievement in psychology and the arts. dr. russ offers an interdisciplinary perspective on the study and measurement of affect and creativity. she is perhaps best known for her foundational measure, the affect in play scale, that is used to measure imagination and emotional ex- pression in pretend play (russ et al. ). she is also the author of a number of books that discuss the role of affect and play in creativity (e.g., russ , ). trained as a clinical psychologist, dr. russ works primar- ily with children. it is no surprise, then, that a significant focus of her research centers on developing a better understanding of the role of pretend play in child development and psycho- therapy. she approaches this work from a cognitive, affective, and developmental perspective which she refers to as psychodynamic-developmental (russ ). she has ex- plored the relationship between pretend play and areas of adaptive functioning such as creativity, coping, and emotional understanding (russ ) and she is currently exploring the role of affect in the creative process. * punya mishra punya.mishra@asu.edu shagun singha ssing @asu.edu melissa warr mcwarr@asu.edu danah henriksen danah.henriksen@asu.edu arizona state university, tempe, az, usa https://doi.org/ . /s - - - published online: may techtrends ( ) : – http://crossmark.crossref.org/dialog/?doi= . /s - - - &domain=pdf mailto:punya.mishra@asu.edu play as a creative product dr. russ described creativity as “the ability to come up with original ideas; to put ideas or images or experiences together in new ways” and “synthesizing in an original way using fantasy.” this description is similar to existing definitions of creativity, particularly the emphasis on novelty—but it also contrasts with many characterizations of creativity which ad- ditionally include a type of usefulness or effectiveness criteria. the so-termed ‘standard definition’ of creativity espoused by creativity scholars (runco and jaeger ) implies a two-part definition of creativity: creativity requires both novelty (or originality) and usefulness (or effectiveness). in this series we have also spoken of mishra et al.’s ( ) new definition of creativity, i.e. a creative product is novel, effective, and whole. the standard definition accounts for creativity in value- driven or outcome-bounded contexts, in which utility and col- lective value judgments of effectiveness matter significantly. for instance, a performance might be deemed creative if it has elements of novelty and if audiences or critics find it to be effective, enjoyable, cohesive, engaging, thought provoking, etc. (i.e. effective). or, in the sciences, a new discovery could be creative if it offers new knowledge or an inventive scien- tific solution (i.e., something useful that works well). runco ( ) raised the possibility of diverging from the standard definition and only considering originality, but novelty and effectiveness still reign supreme in definitions. but with the standard definition, what are we to do with more personal creativity which does not sit easily with an obvious ‘effective- ness’ judgment? or, related to dr. russ’s work, what of chil- dren’s creativity which includes elements of imagination or novel thinking but does not fit on a typical scale of usability or effectiveness? dr. russ, while sensitive to other definitions of creativity, believes that, for children, the criteria of usefulness cannot be the most important. this is because for children, play is the creative product. as she explained, play is “an output of how [children] think and how they feel.” in other words, play as a creative product has intrapersonal value, i.e., it is inherently meaningful to the person doing the playing. viewing play as a creative product provides insight into the relationship between play, creativity, and emotion. dr. russ ( ) views pretend play as a vehicle for creative expression and an opportunity for a child to generate new ideas. this allows children to synthesize images or experiences together in whole and original ways. children, she suggests, come up with and process new ideas through play and fantasy. notably, vygotsky ( , ) focused on this element of creativity through imagination and fantasy as central to children’s learn- ing and development. he believed that creativity develops in three stages: creative imagination begins in childhood, then proceeds into adolescence, where imagination comes together with thought, and finally moves into adulthood, where expe- rienced creativity is directed and used with purpose. he de- scribed children’s figurative play as a catalyst for creative imagination. thus, imagination and fantasy, which are some- times dismissed as ‘child’s play,’ are central to how people develop creatively throughout life. like creativity, play is often novel, surprising, and original. for example, dr. russ described how a child might transform objects like legos into something else entirely. children prac- tice divergence in play. she explained how they might “gen- erate different ideas, make up creative stories ... incorporate different images like going to the moon, and use fantasy.” children are creative both in and through play, and signif- icant empirical evidence supports a relationship between play and creativity (lieberman ; russ ). for example, hoffmann and russ ( ) found pretend play to be positive- ly correlated with divergent thinking, storytelling, and emotional regulation. russ et al. ( ) discovered that the relationship between play and divergent thinking holds across time—in their study, children’s play ability scores predicted their divergent thinking scores four years later. clearly, play and creativity both include characteristics of divergent thinking, but how else might play and creativity be related? we argue that dr. russ’s view of play as a creative product brings a new meta-level meaning to the “effective- ness” criteria common in other definitions of creativity. toward that argument, it may be important to ask “effective for whom?” is it for broader society and culture, for smaller interpersonal contexts, or for the individual? the complexity of value judgments has been an ongoing conundrum in creativity literature, and it highlights the perspectival nature of creative outcomes and products (e.g. who judges and why? and who judges the judges?) (runco and jaeger ). beghetto and kaufman ( b) addressed this dilemma by describing a spec- trum of creativity in their -c creativity model: big-c, little-c, pro-c, and mini-c. big-c creativity is landmark work. its scope changes a field or the world—for example, the invention of cubism by picasso and braque, the development of the theory of relativity by einstein, or the invention of the personal comput- er by jobs, gates, and others. little-c creativity, in contrast, is smaller in scope but just as important in our lives. it describes “everyday creativity that may make a solid contribution” (p. ). it might include a piece of art made for others or a new process that makes the workplace more efficient. little-c creativity does not have the same scale as big-c, but it has interpersonal value and is additive and cumulative in its effects on people and soci- ety. “pro-c involves relevant types of experts’ creativity or in- sights that are useful and critical in professional domains. the outputs of pro-c creativity may not change the field, but they still make a difference. for example, in education, this might be seen in the pioneering idea of the flipped classroom from bergmann and sams ( ). finally, “mini-c” is “intrapersonal creativity that is part of the learning process” (p. ). in other techtrends ( ) : – words, mini-c creativity holds value for the individual and is interpretative and often relevant in classrooms (e.g. a nd grader’s insight about how to solve a math problem). beghetto and kaufman ( a) described how “all levels of creative per- formance follow a trajectory that starts with novel and personally meaningful interpretations” (p. ) and develops into interper- sonal expressions. this broadened spectrum of creative scope suggests that labeling the criterion of effectiveness is highly sub- jective and situated. it reflects stein’s ( ) work distinguishing between the internal and external frames of reference that might be used when considering and judging creativity. from this perspective, the creativity inherent in pretend play is highly effective: it supports children in working out ideas and expressing themselves. in other words, play is how children learn. as maria montessori famously said, “play is the work of the child.” the process and product of play are inherently novel and effective. pretend play is also an affective process that sup- ports “both the ability to think about affect-laden fantasy and the capacity to experience emotion” (russ , pp. – ). play, as a creative product, can effectively help children think, feel, and process information. from an evolutionary perspective, it sup- ports learning that connects with and influences thinking. play provides an effective foundation that is unparalleled by less joy- ful and more rote forms of learning (pellegrini et al. ). although we have emphasized the differences between chil- dren’s pretend play and adult creativity, mini-c creativity and play are not reserved for children alone. adults also benefit from play and other forms of mini-c creativity; they can work through challenges and express emotions through mini-c creativity. this is where our conversation with dr. russ went next. nurturing creativity and play for all ages play not only helps children (and adults) process challenges and emotions but also supports other (little-c and perhaps evenbig-c) forms of creativity. dr. russ believes that effec- tive play in childhood leads to increased creativity in adults, but she also accepts that this can be hard to scientifically prove. returning to vygotsky’s ( , ) theoretical work, play is indeed developmental in certain ways that ex- pand and extend across the lifespan. given his assertion that children’s figurative play catalyzes creative imagination, vygotsky proposed that creativity was an intentionally ac- quired mental ability. people apply play and creative thinking to modify and combine ideas in context, generating unique, beautiful, and useful discoveries. as dr. russ notes, however, finding clear empirical evidence of the link between childhood play and adult creativity requires longitudinal studies, and identifying creativity in adults can be difficult because many adults have limited opportunities to express creativity. nonetheless, she argues that play and creativity have clear mental health benefits and should be nurtured and encouraged across the lifespan—and this is certainly grounded in founda- tional educational psychology. young children simply need to play, and, for the most part, nurturing children’s creativity can be as easy as ensuring they have the time and space to do so. in the evolution of childhood, melvin konner ( ) emphasized the value and necessity of play for learning, noting that among juveniles of any age group, play is a core activity. yet there is also a great energy expenditure that comes from play, including increased food requirements and risk. the skill would not have evolved without significant adaptive value. konner noted that you can watch children of any age engage in “rough and tumble play” and see that it is quite different from the aggressive action of real fighting—yet the play builds physical, developmental, and motor skills. even beyond the important development of physical coordination and motor skills, play of all kinds helps humans and other species learn to account for and handle unexpected events, establish and practice social relationships, self-assess and consider risks, stimulate mental development, and practice imagination and creative adaptation. some children, however, struggle with play. in these cases, dr. russ notes that guided play can help them develop crea- tive potential and imaginative skills. for example, she de- scribed hoffmann’s (hoffman & russ ) research on play interventions. hoffman worked with groups of st and nd grade girls. each group included two girls that scored low on pre-assessments of pretend play ability as well as two girls who scored higher. during the interventions, hoffmann sup- ported the students in making up imaginative stories. after six -min sessions, students who originally scored low on pre- assessments and participated in the intervention showed a sig- nificant increase in pretend play, positive affect, creativity, and divergent thinking compared to the control group. play becomes less frequent as children grow. that, howev- er, does not mean that play loses significance. dr. russ argues that teenagers should also be encouraged to practice creative expression, particularly by following developing interests. teenagers can participate in arts programs—drama, music, dance, visual arts—as well as practice creativity in academic subjects through activities such as science projects or creative writing. in terms of beghetto and kaufman’s ( b) creativ- ity model, teenagers can be encouraged in both intrapersonal (mini-c) creativity and interpersonal expression (little-c crea- tivity). creativity provides teenagers opportunities to problem-solve and encourages growth across domains. this is even more important for underprivileged students who rely on schools to provide creative opportunities that they might not have access to at home. when asked to summarize the implications of her scholar- ship for educational policy makers, dr. russ explained: [essentially] you have to find a way to look at the indi- vidual child throughout the whole years that they’re techtrends ( ) : – in an educational system and focus on nurturing the development of that child. so, keep the continuity there. .. [provide] as many creative activities as possible in those early years, give them the opportunity to explore music, dance, science so that they start to see what they enjoy and what they’re good at, so that they can start to gravitate to areas that they really like and that they have talent in. adults, she argued, also need opportunities to be creative and play. although many adults do not have opportunities for big-c creativity in the workplace, they are still capable of participating in little-c and mini-c creativity. and, according to dr. russ, play and creative expression are important for the mental and emotional health of all ages—particularly during difficult situations, like the covid- pandemic. play and creativity during a pandemic we talked with dr. russ over video chat in late march , just as countries in asia, europe, and north america were shutting down to control the spread of covid- . the recent changes in our work and lifestyle were at the forefront of our minds and we naturally gravitated to discussing the shifts we were seeing around us as school closed and more people worked from home. this context provided an opportunity to dig deeper into the es- sential elements of play and the role play has in the lives of both children and adults during crises. much of our discussion cen- tered on whether new technologies can support play and creativ- ity, particularly when children must stay at home. during the pandemic, children are limited in their ability to physically play with friends, but many have access to video games. here, technology can potentially be a conduit for play when other circumstances are more limited. dr. russ believes video games can support play and creativity but emphasized that the central requirement for pretend play is for the play to be open-ended. thus, games that are flexible and allow chil- dren to use their imaginations can support play and creativity. for example, minecraft provides a platform for children (and adults) to create new worlds. dr. russ also discussed the potential for conducting play interventions over video platforms. dimitropoulos et al. ( ) reported on a telehealth play intervention for children with prader-willi syndrome, a rare developmental disorder similar to autism. in play sessions, interventionists supported children in creating stories about emotions and problems. throughout the process, the interventionists modeled play behaviors. for example, dr. russ explained, “one child following a story need- ed to get milk for a baby but said that there’s no milk bottle. and so, the researcher could just pick up a lego and say, well, this could be a milk bottle. it’s modeling that you can use an object to be something else.” even though the interventionist and child were in different physical locations with different toys, the inter- ventionist could still support the child in working out problems in pretend play. this suggests that play is not limited or fully bound by physical spaces, and during times of crisis and isolation, the connectivity supported by digital technologies can afford creative play. at the time of the interview, we were also observing some positive outcomes of the pandemic: adults stuck at home were spending more time with creative activities, and many children had more time to play. dr. russ described how parents had been observing children participating in pretend play with the virus. she was recently interviewed by the atlantic (cray ) where she explained that play of this nature was a natural way for children to process what was going on in their world. in fact, it could be argued that it is not just children who are processing trauma through play. adults are also processing emotion through play and creativity, as evidenced by humorous songs, comedy shows produced via video conference, and arts-based benefit specials, all focusing on our shared experience with covid- . as human beings, we are programmed to use play and cre- ative expression to connect and work through difficulties. creativity is not just about finding solutions to problems; it is about expressing emotion and processing change. forgeard’s ( ) work on creativity and mental health has shown that engaging in creative activities can provide people with noticeable improvements to their mental health and overall wellbeing. indeed, many clinicians report that people receiving treatment for both mild and severe mental health issues experience signif- icant therapeutic benefits and inspiration from creative hobbies and habits. while the medical community has begun to recognize the value of creativity for mental health through programs for arts-based activities such as visual arts, music, drama, dance, poetry, writing or other forms of creative play there is also an accessible value to these expressions, in that they can be engaged and indulged in our personal spaces and lives. this brings us again to the personal value of mini-c creativity and the ways in which play can move us and help us to expand, learn, heal, and grow over the lifespan. conclusion our conversation with dr. russ meandered through a range of topics about play, creative expression, emotion, and how we as humans cope with challenges. it highlighted how important play and creative expression are in difficult times, begging the question of how we can support children in developing the habits and abilities of play and creativity from childhood. dr. russ believes that it is simpler than we might think: it’s a matter of nurturing joy. so, what i say to parents is––enjoy them. enjoy the play with your three, four, or five-year-old’s. play with them and enjoy the play. with techtrends ( ) : – older children, you may stay out of it, but make sure they have time and space and appropriate toys. there are so many ways you can nurture this and then it will take care of itself. if there is one takeaway from our conversation with dr. russ, it is that play and creativity are effective tools for supporting mental and emotional health, something particu- larly critical during crises such as the covid- pandemic. play and creative expression can help us cope with an uncer- tain world, which is always the world we face looking ahead into the future. references beghetto, r. a., & kaufman, j. c. ( a). the genesis of creative greatness: mini‐c and the expert performance approach. high ability studies, ( ), – . https://doi.org/ . / . beghetto, r. a., & kaufman, j. c. ( b). toward a broader conception of creativity: a case for “mini-c” creativity. psychology of aesthetics, creativity, and the arts, ( ), – . bergmann, j., & sams, a. ( ). flip your classroom: reach every student in every class every day. eugene, alexandria: international society for technology in education. cain, w., henriksen, d., mishra, p., & the deep-play research group. ( ). words and worlds: a conversation on writing, craft, and the power of deep fandom with kij johnson. techtrends. https://doi. org/ . /s - - - . cray, k. ( ). how the coronavirus is influencing children’s play. the atlantic. retrieved from psychology of aesthetics, creativity, and the arts, ( ), . . /a dimitropoulos, a., zyga, o., & russ, s. ( ). evaluating the feasibility of a play-based telehealth intervention program for children with prader–willi syndrome. journal of autism and developmental disorders, , – . https://doi.org/ . /s - - -z. forgeard, m. j. ( ). perceiving benefits after adversity: the relation- ship between self reported posttraumatic growth and creativity. psychology of aesthetics, creativity, and the arts, ( ), . henriksen, d., mishra, p., warr, m., & the deep-play research group. ( ). a cybernetic perspective on design and creativity: a conver- sation with dr. paul pangaro. tech trends. https://doi.org/ . / s - - -y. hoffmann, j., & russ, s. ( ). pretend play, creativity, and emotion regulation in children. . /s - - - hoffmann, j. d., & russ, s. ( ). fostering pretend play skills and creativity in elementary school girls: a group play intervention. psychology of aesthetics, creativity, and the arts, ( ), . keenan-lechel, s. f., henriksen, d., & the deep-play research group. ( ). creativity as perspective taking: an interview with dr. vlad glăveanu. techtrends, , – . https://doi.org/ . / s - - - . konner, m. ( ). the evolution of childhood: relationships, emotion, mind. harvard university press. lieberman, n. j. ( ). playfulness: its relationship to imagination and creativity. new york: academic press. mehta, r., henriksen, d., mishra, p., & the deep play research group. ( ). the courageous rationality of being a neuroskeptic neuro- scientist: dr. arne dietrich on creativity and education. techtrends, ( ), – . https://doi.org/ . /s - - -x. mehta, r., henriksen, d., & the deep-play research group. ( ). an embodied, dialogic endeavor: towards a posthumanizing ap- proach to creativity with dr. kerry chappell. techtrends, , – . https://doi.org/ . /s - - - . mishra, p., henriksen, d., & the deep-play research group. ( ). a new approach to defining and measuring creativity: rethinking technology & creativity in the st century. techtrends, ( ), . pellegrini, a. d., dupuis, d., & smith, p. k. ( ). play in evolution and development. developmental review, ( ), – . richardson, c., henriksen, d., & the deep-play research group. ( ). it’s not ‘hippies running barefoot through a field of daisies’ and other contemplations on creativity with dr. jonathan plucker. tech trends. https://doi.org/ . /s - - - . richardson, c., henriksen, d. & the deep-play research group ( ). questioning the myth of ideation: tatiana chemi and the hard work of creativity. techtrends, : – . https://doi.org/ . /s - - - runco, m. a. ( ). the new science of creativity. taylor & francis. runco, m. a., & jaeger, g. j. ( ). the standard definition of creativ- ity. creativity research journal, ( ), – . russ, s. ( ). affect and creativity: the role of affect and play in the creative process. hillsdale: lawrence earlbaum associates. russ, s. ( ). play in child development and psychotherapy: toward empirically supported practice. new york: routledge. russ, s. ( ). pretend play in childhood: foundation of adult creativity. washington, dc: american psychological association. russ, s. ( ). pretend play: antecedent of adult creativity. new directions for child and adolescent development, ( ), – . https://doi.org/ . /cad. . russ, s., robins, a. l., & christiano, b. a. ( ). pretend play: longi- tudinal prediction of creativity and affect in fantasy in children. creativity research journal, ( ), – . https://doi.org/ . /s crj _ . russ, s., niec, l. n., & kaugars, a. s. ( ). play assessment of affect: the affect in play scale. in k. gitlin-weiner, a. sandgrund, & c. schaefer (eds.), play diagnosis and assessment. retrieved from https://psycnet.apa.org/record/ - - stein, m. i. ( ). creativity and culture. journal of psychology, , – . vygotsky, l. s. ( ). imagination and its development in childhood. in l.v. (ed.), the development of higher mental function (pp. – ). izdatel'stvo academii pedagogicheskikh nauk rsfsr: moscow. vygotsky, l. s. ( ). mind in society: the development of higher psychological processes. cambridge: harvard university press. warr, m., henriksen, d., mishra, p., & the deep-play research group. ( ). creativity and flow in surgery, music, and cooking: an in- terview with neuroscientist charles limb. techtrends, ( ), – . https://doi.org/ . /s - - - . warr, m., henriksen, d., mishra, p., & the deep-play research group. ( ). creativity and expressive arts, performance, physicality and wellness: a conversation with dr. paula thomson and dr. victoria jaque. techtrends, ( ), – . https://doi.org/ . / s - - - . publisher’s note springer nature remains neutral with regard to jurisdic- tional claims in published maps and institutional affiliations. techtrends ( ) : – https://doi.org/ . / https://doi.org/ . / https://doi.org/ . /s - - - https://doi.org/ . /s - - - https://doi.org/ . /s - - -z https://doi.org/ . /s - - -z https://doi.org/ . /s - - -y https://doi.org/ . /s - - -y https://doi.org/ . /s - - - https://doi.org/ . /s - - - https://doi.org/ . /s - - -x https://doi.org/ . /s - - - https://doi.org/ . /s - - - https://doi.org/ . /s - - - https://doi.org/ . /s - - - https://doi.org/ . /cad. https://doi.org/ . /s crj _ https://doi.org/ . /s crj _ https://doi.org/ . / https://doi.org/ . /s - - - https://doi.org/ . /s - - - https://doi.org/ . /s - - - playing with creativity across the lifespan: a conversation with dr. sandra russ play as a creative product nurturing creativity and play for all ages play and creativity during a pandemic conclusion references rev-sinclair/harris.indd notices of the ams volume , number explore or forge connections between mathematics and art. in many educational settings, art is used as a motivational context in which to attract the attention of learners so that they might compare some ratios (alberti’s perspective drawing) or cal- culate some areas (mondrian’s geometric abstrac- tion), just to name some popular examples. one consequence of these well-meaning approaches is that they endorse the belief that mathematics itself is an aesthetically sterile domain or at least one whose potentialities are realised only through engagement with external domains of interest. the mathematicians videotaped by depardon and nou- garet insist otherwise, and the situations shown in the second room provide at least some visual insight into the compelling patterns and structures that mathematicians work with. but i had hoped that this meeting of art with mathematics would have more provocatively, subtly, and perhaps even uncomfortably transformed the viewer’s way of thinking of mathematics. i wonder whether the framing of the exhibit— at least the top floor—in terms of gromov’s four mysteries started things off on the wrong foot. art tends to be good when it evokes mysteries for the viewer or nudges the viewer toward mysteries otherwise overlooked, but when it ear- nestly points them out, the viewer is left with little more than a fact. references gilles châtelet, les enjeux du mobile: mathématiques, physique, philosophie, seuil, paris, . brian rotman, signifying nothing: the semiotics of zero, st. martin’s press, new york, . a. whitehead, science and the modern world, macmillan, new york, . choreography. the film shows a closeup of villani presenting cercignani’s conjecture on a black- board. in the previous room he had already es- tablished this perennial tool of the mathematical lecture room as a kind of right arm, an extension of himself he could use to communicate his ideas. (in fact, despite the growing use of computers by mathematicians—and not just the experimental mathematics community—this digital tool seems to remain here in the closet.) the film begins with a large shot of the blackboard, with villani pacing back and forth in front of it. then it zooms in as he raises his chalk and makes a few marks, as if warming up. then he lets loose on a dazzling array of points, lines, curves, all in a rhythm of an- ticipation. he looked like a conductor goading his mathematical objects along. the viewer watches the performance but feels that the substantial practice and repetition involved in the dance of the chalk is somehow overshadowed by a sense of immediacy, persuasiveness, and seeming newness. i was reminded of gilles châtelet’s ( ) assertion of the intimate link between gestures and diagrams in mathematics and, especially, the gesture as the locus of mathematical inventiveness. this small film seemed to be the most compelling example to me of mathematics and art and of mathemat- ics as art. in the last large room stood a comparatively lonely aluminum sculpture by hiroshi sugimoto of a surface of revolution of constant negative cur- vature. apparently, the extreme tip—the gesture to a point at infinity—is so small that the artist required modern robotics to fashion it. on art and mathematics there are many conferences, books, courses, and classroom activities that try, in various ways, to sudden disorientation in a paris museum michael harris at least one french journalist is convinced that the message of the exhibition that opened last october in paris at the fondation cartier for contemporary art is that alexander grothendieck has now been “rehabilitated”. maybe she reached this conclu- sion because the exhibition, a collaborative effort involving (among others) nine artists, eight math- ematicians, and a large hadron collider—more on them later—is entitled mathématiques, un dépay- sement soudain, a quotation from grothendieck’s unclassifiable and (so far) unpublishable -page memoir récoltes et sémailles. who was the first to realize grothendieck was in need of rehabilitation? it wasn’t a mathematician: though those who knew him continue to regret his decision to abandon his position at the center of algebraic geometry in the early s on political grounds, his influence has only grown in the intervening years, and he is now regularly listed as one of the greatest mathemati- cians of the twentieth century, occasionally as the greatest of all. that grothendieck might need rehabilitation and that his time has now come sounds like an idea hatched by the french public relations industry, known in france as communications or just com, always alert to the question of what is appropriate to believe about any subject of importance—and michael harris is professor of mathematics at ufr de mathématiques, université paris-diderot paris . his email address is harris@math.jussieu.fr. doi: http://dx.doi.org/ . /noti for example, at this site: http://blog.tanyakhovanova. com/?p= . http://blog.tanyakhovanova.com/?p= http://blog.tanyakhovanova.com/?p= june/july notices of the ams protegé initiative. the luxury industry (espace cardin and lvmh in paris, fondazione prada in venice) is well represented among the branded art exhibition spaces that have proliferated in recent decades, alongside insurance (the generali foun- dation in vienna), banking, shopping (selfridge’s), and com itself (the saatchi gallery in london). damien hirst, hardly the most high-minded of the young british artists, once said, …“i’m not charles saatchi’s barrel-organ monkey. …he only recognises art with his wallet …he believes he can affect art values with buying power, and he still believes he can do it.” years before the fonda- tion cartier moved into its jean nouvel-designed exhibition space on boulevard raspail—of which eric hazan wrote that it “at least has the merit of having preserved chateaubriand’s cedar tree”— alain-dominique perrin, then, as now, president of the fondation cartier, wrote candidly about the goals of art sponsorship: “patronage of the arts is not only a formidable public relations [i.e., com- munications] tool, it’s much more than that; it’s a tool to seduce public opinion.” the strategic goal, wrote perrin, is to “neutralize criticism”. echoing situationist guy debord but from the other side of the barricades, so to speak, perrin added, “the efficacy of this pr strategy is not lim- ited to creating the event…patronage is…a medium that makes use of the other media.” media coverage of a beautiful elsewhere has indeed been massive, including an entire special issue of the monthly popular science magazine sciences et avenir (with the cartier logo on the front cover), an ad campaign that plastered every corner of the french capital with billboards, and of course a few brief articles in the daily and weekly press. i ought to stress that i’m not opposed to private philanthropy or even corporate sponsorship per se. i have benefited from the former both person- ally and as an organizer of conferences, and in any case there’s no way to work these days as a math- ematician, much less as an artist, without coming to some arrangement with private funding sources. i ran across perrin’s remarks in a conversa- tion between radical conceptual artist hans haacke and sociologist pierre bourdieu. haacke’s projects in the s included a collage (cowboy with ciga- rette) in the style of picasso as a reaction to philip in france mathematics is such a subject. by turn- ing his back on prestige, going so far as to refuse the crafoord prize in , grothendieck broke with acceptable public opinion, expressing ideas potentially subversive to the social order. but now he can be forgiven. if grothendieck’s ideas are no longer dangerous, it’s not only because his public statements over the last twenty years or so have become increasingly bizarre, culminating with his insistence in that all copies of his work be removed from librar- ies and destroyed. ideas like grothendieck’s have in any case lost their relevance to opinion makers. the evolution was symbolized by the election of french president nicolas sarkozy in on a platform of argent décomplexé, relaxed money. sarkozy’s supporters called upon the rich not to be ashamed of their wealth, and the president himself was notorious for his fascination with symbols of affluence: yachts, expensive restaurants, and es- pecially the rolex. jacques séguéla, com champion closely associated with the (opposition) french socialist party, was perplexed when the press kept writing about the rolex: “si à ans, on n’a pas une rolex, on a raté sa vie” [if you don’t have a rolex by the time you’re , you’ve wasted your life]. nowadays dépaysement is a commodity french travel agents market to busy professionals looking for novel vacation experiences, the prepackaged unfamiliarity of an unfamiliar sun, an unfamiliar landscape, a (slightly) unfamiliar cuisine, compa- rable to the english “change of scene” rather than to a beautiful elsewhere, the cartier exhibition’s official english title. but the word literally refers to the state of not being in one’s hometown, and its alternative meaning of “disorientation” is by far the better translation in reference to grothendieck. imagine club med offering a one-way ticket to the middle of a war zone in a foreign country where you are at constant risk of deportation and death. that profoundly disorienting experience, still on offer in many parts of the world, was grothen- dieck’s as a teenager during the second world war. the experience one takes home from a beautiful elsewhere is not of comparable intensity. the fondation cartier is the creation of rolex’s rival, the french jeweler and watchmaker cartier. i’m no expert in the semiotics of luxury timekeep- ing and can’t tell you where rolex stands relative to cartier—official purveyor in times past to such kings as carlos i of portugal, peter i of serbia, fouad i of egypt, and zog i of albania—on the scale of prestige vs. vulgarity. what i do know is that if i were cartier, i would be jealous of the lineup rolex has assembled, both for its gravitas (hans magnus enzensberger! toni morrison!) and for its hipness (brian eno!! kate valk!!) in its annual mentor and or so it seemed when the exhibition was planned, before the surprising events of . for banking: the deutsche bank collection in frankfurt, new york, and around the world, and the bank austria kunstforum in vienna. to this list we might add the for- mer collaboration between philip morris and the whitney museum of american art in new york. http://www.guardian.co.uk/uk/ /nov/ / arts.artsnews. this year saatchi himself observed ( guardian, december ) that “being an art buyer these days is comprehensively and indisputably vulgar.” quoted in p. bourdieu and h. haacke, libre-échange, paris: seuil ( ), pp. – , . http://www.guardian.co.uk/uk/ /nov/ /arts.artsnews http://www.guardian.co.uk/uk/ /nov/ /arts.artsnews notices of the ams volume , number a collaboration of filmmaker david lynch and punk rock icon patti smith with geometer misha gromov. the laws of physics, life, the human brain, and mathematical structure are the mysteries in question. perfectly innocent when gromov listed them a few years ago in a popular book about mathematicians entitled les déchiffreurs, in the hands of the cartier exhibition’s curators these mysteries acquire the metaphysical urgency of the “mysteries of isis” to which tamino is promised after his successful passage through the “temple of tests” in mozart’s magic flute. and one must indeed walk through a colonnade in order to enter the library, on one of whose walls a selection of books, chosen by gromov for the light they at- tempt to shed on the four mysteries, thunder down from the zenith against the background of a handheld impending storm in a recognizably lynchian night. david foster wallace wrote that an academic definition of lyn- chian might be that the term “refers to a particular kind of irony where the very macabre and the very mundane combine in such a way as to reveal the former’s perpetual containment within the latter”. irony being altogether absent at the fondation cartier and in the exhibition catalogue, it would be better to say that the books in the library are framed by a parody of the lynchian night. other images are occasionally projected on the wall: when a white sheep appears against a neutral back- ground, patti smith’s voice recites “baa baa black sheep” (“yes, sir” is translated “oui monsieur”). later in the cycle, her face materializes, swaying on the library ceiling (“in the shape of a zero”), blurring and fading as she sings an excerpt from swinburne’s loch torridon: all above us, the livelong night, shadow, kindled with sense of light; all around us, the brief night long, silence, laden with sense of song. the next space is called the room of the four mysteries and features one exhibit for each mys- tery on gromov’s list, plus a few bonus items. a collage by beatriz milhazes entitled o paraiso (paradise) represents the mystery of life as a kind of club med travel poster to a tropically chaotic world of fluid dynamics and diffusion reactions, morris sponsorship of a exhibit on early cubism and an exploration, modeled on jewelers’ window displays, of cartier’s links with apartheid south africa. but haacke himself has works in the generali foundation collection, and who can blame him? the ihes is no less brilliant a center of research since the creation a few years ago of the axa chair for mathematics. but any occupant of the chair has to know that, as far as the insurance company is concerned, he or she is now wearing the axa jersey. no such branding accompanied the unveiling in october of a plaque at the École normale supéri- eure thanking the fondation jean-luc lagardère for the renovation of the département des mathé- matiques et applications. there is no mention of the event on the lagardère or eads websites. nor did the weekly magazine m—le monde’s answer to the new york times’ t—refer to the ens in its cover story, published in october, on “the dream life of [the late jean-luc’s son] arnaud lagardère,” who “reigns over arms and media, aviation and publishing.” this is a bit strange, since ens is in the center of paris and is much better known than the ihes. grothendieck may be indirectly responsible for this discretion. although the lagardère con- glomerate is mainly active in publishing and media, it is “a major shareholder in eads…the leading aeronautics, space and defence group in europe and the second largest in the world…and exercises joint control over the company.” grothendieck, the “great thinker, unknown outside theoretical cliques,” is mentioned several times in the exhibi- tion catalogue—astrophysicist michel cassé, one of the exhibition’s three curators, even dedicates his catalogue contribution to grothendieck—but there’s not a word to explain his absence from the community of researchers. his resignation in from the ihes is mentioned cryptically in the introduction to the special issue of sciences et avenir on the cartier exhibition. you’ll have to turn to the notices of the ams to learn that his departure was precipitated by his “conflict with the founder and director of the ihes…over military funding for the institute.” visitors arriving at a beautiful elsewhere are first directed to the library of mysteries, fruit of a move that brings no material advantage to its holder but instead allows the ihes to use his or her salary to invite additional visitors. see www.axa-research.org/sites/dev/files/u/ video/axa_institutionnel_rework.flv. information from www.lagardere.com. along with ihes director jean-pierre bourguignon and hervé chandes, director general of the fondation cartier. from allyn jackson’s article comme appelé du né ant— as if summoned from the void: the life of alexandre grothendieck, part , notices of the ams, november , p. . alternating with a nervous blood red and a steady sky blue. the library includes works by poincaré, helmholtz, heraclitus, archimedes, darwin, galileo, and many others, including grothendieck’s récoltes et sémailles. edifying excerpts are projected helpfully onto the wall, translated into french and english. in “david lynch keeps his head”, premiere, september . http://www.axa-research.org/sites/dev/files/u/video/axa_institutionnel_rework.flv http://www.axa-research.org/sites/dev/files/u/video/axa_institutionnel_rework.flv http://www.lagardere.com june/july notices of the ams tickets and those who thought that any widely publicized event that brings mathematics to the attention of the general public deserves the benefit of the doubt. what i haven’t heard from french colleagues who have been to the show are thoughts about the relations, if there are any, between art and mathematics. no one seems to have noticed what a paradox it is to hear mathematicians claim without hesitation that beauty is the object of their work—not that it’s so easy to attribute a precise meaning to this claim, and in a technical sense it’s pretty clear that gromov, lynch, and smith were aiming at the sublime—in an institution “for con- temporary art” where that sort of talk is generally considered to be beside the point. notices readers don’t need to be told that the word “art” in the contemporary world is extraordinarily inclusive, but it seems to me that what it designates needs at a minimum to be capable of being incorporated in some sort of dialogue with traditional and histori- cal uses of the word. if such a dialogue is under way at the fondation cartier, i was unable to detect it, and i am tempted to define com as precisely the form of dialogue in which opinions travel in one direction only. the exhibition continues downstairs with a sculpture of a surface of constant negative curva- ture by hiroshi sugimoto, culminating at its apex in what is supposed to represent a singularity at infinity, spectacular but somehow pointless, enormous and yet much too small for the room in which it is displayed. jean-michel alberola’s contributions are especially unconvincing: a mural representing a conceptual map of poincaré’s work and yet another film of hands writing equations, belonging this time to villani. if you look elsewhere than in a beautiful else- where you can easily find evidence that alberola is in fact an interesting artist, like the others par- ticipating in this cross-cultural experiment, and you are likely to wonder about a quite different mystery: how the collaboration of so many undeni- ably talented people, artists and mathematicians alike, gave rise to such an exercise in futility. could it be as simple as this, that the relations between mathematics and the arts (such as they are) do not develop in interesting directions when com is the catalyst? my thoughts returned to grothen- dieck, whose story is an extraordinary gift from mathematics to world culture that remains to be unwrapped. i used to think that david lynch would be just the right artist to find the images to go along with words like these: peu à peu au cours de la réflexion se révèle ce qui, dans ma vie, a été comme le “noyau dur”, le centre red- outable de ce mystère, comme le coeur même de “l’énigme du mal” : la violence qu’on peut appeler “gratuite”, ou “sans cause”, la violence pour le seul plaisir, featuring a jaguar, a red parrot, a peacock, fire, and an enormous wave, each tagged by the rel- evant equation. lynch offers a high-contrast handheld brooding film of the glowing hands of bruno mansoulié, a physicist at cern, drawing feynman diagrams, punctuated by occasional real-time interruptions by an instrument panel at the large hadron collider (the very small) or the planck satellite (the very large): the laws of phys- ics. when mansoulié has finished his lecture, patti smith’s off-camera voice recites gromov’s text on the four mysteries; the “mother courage of rock” (as luc sante called her recently in the new york review of books) adds poetry as her own choice for fifth on the list. the mystery of the brain is displayed in the form of “artificial curiosity”, a “tribe of young robotic creatures” modeling gro- mov’s concept of an ergosystem. the creatures are meant to interact with spectators and learn in the process, “an experiment” (the press packet informs us) “that will allow the […] scientists [from inria and the université de bordeaux] to advance even further in their revolutionary research program.” this mystery, unlike the first two mentioned, is actually quite entertaining —the ninth graders visiting with their math class told me it was what they liked best—but its only obvious connection with contemporary art is the plastic head designed by lynch, reminiscent of the skull of the baby in eraserhead, topping each of the artificially curi- ous robots. the week the exhibition opened was a special one, with a six-page spread on grothendieck in the french edition of gq and recent fields medalist cédric villani identifying himself as “the lady gaga of mathematics” in the weekly middlebrow culture magazine télérama. the interview mentioned vil- lani’s participation in the cartier exhibition, but like most of the press coverage, had very little to say about what was on display. for this you have to read the blogs, where comments like this one are typical: en effet, une expo très décevante! ar- tistiquement rien de plus que décora- tive et mathématiquement totalement superficielle, une imposture qui cultive le mysticisme autour des maths.…ne perdez pas votre temps à y aller. mathematicians were divided between those so put off by the com style of the exhibition’s promo- tion that they threw away their complementary as is the infographic display in the same room that projects a sampling of the mystery of mathematical structure (penrose tilings, euclidean geometry, ulam’s spiral of prime numbers, calculations in the symbolism of traditional chinese and japanese mathematics) in brilliant colors at dizzying speed. but when art meets mathematics, why does the result resemble nothing so much as high- tech advertising? notices of the ams volume , number of the four mysteries is not even worth mention- ing), the sensitivity to the uncanny one expected from david lynch. i was particularly impressed by villani’s segment—he displays a real sense of dramatic timing in explaining how he rediscovered the triangles of his adolescence after two decades of mathematical research—and by gromov’s para- doxical observation that mathematical thinking and biological evolution move in opposite direc- tions. but the speakers were uniformly thoughtful, articulate, and appealing; the film, in which the presence of the artists is reduced to a bare mini- mum, almost redeems the exhibition. it’s probably pointless to ask pedro almodóvar to film grothendieck’s life. if you’ve seen al- modóvar’s talk to her, you’ll remember the scene where caetano veloso delivers an indescribably beautiful rendition of a mexican folk song in an improbably beautiful private garden to a select group of impossibly beautiful “beautiful people”. if i’ve learned anything from the exhibit at fonda- tion cartier, it’s that such scenes take place in real life as well. but i learned that indirectly by reading an article published in le monde’s magazine m. on the friday following the opening, patti smith read swinburne’s loch torridon, accompanied by david lynch on electric piano, before a select group of guests sitting on the floor of the fondation cartier—probably in the basement room where the depardon-nougaret interviews are projected during the day. m ’s reporter “had the impression of attending a proof in situ of the theorem [sic] on two parallel lines that never meet.” attending were actress isabelle huppert, actor vincent lindon, filmmaker agnès varda, and a scattering of local celebrities, but whether or not any of the math- ematical stars of un dépaysement soudain was considered beautiful enough to number among the two-hundred guests and to join them for the after party at club silencio, none was beautiful enough to merit mention in le monde. a few years ago i saw another film by depardon and nougaret in that same basement room. en- titled donner la parole, translated as “hear them speak”, practically the same length as bonheur des maths, the film consisted of monologues by people from literally all over the world, describing in their own languages their cultures and ways of life, all threatened with extinction. i hope it was a coincidence. acknowledgment my thanks to nathalie sinclair and vladimir tasić for their insightful comments on a first draft of this article, to gaël octavia for playing the devil’s advocate, and to jean-michel kantor for more rea- sons than i can mention. dirait-on, de blesser, de nuire ou de dévaster—une violence qui jamais ne dit son nom, feutrée souvent, sous des airs d’ingénuité innocente et affable, et d’autant plus efficace à toucher et à ravager—la “griffe dans le velours”, délicate, vive et sans merci. but now i’m not so sure. it’s a long way from club med to club silencio, the iconic theater of guilty conscience that marks the tremulous pas- sage between two worlds (or two mysteries, if you prefer) in lynch’s mulholland drive. or maybe not such a long way: only a half-hour metro trip from the fondation cartier to lynch’s new paris night- club, also called club silencio. all of the artists represented in a beautiful elsewhere have worked with the fondation cartier previously, in some cases more than once. those who don’t live in town presumably have their reasons to come to paris. lynch, “based off and on…for the last four years” in paris, according to a recent guardian interview, is an officier de la légion d’honneur; smith was named commandeur de l’ordre des arts et lettres, in part for her appreciation for rimbaud. nobody seems to have been inconvenienced by cartier’s dépaysement ; it’s even mentioned as a footnote to the guardian article, which focuses on lynch’s new cd, crazy clown time, and on his enthusiasm for transcendental meditation: “légion d’honneur! légion d’honneur!” grothendieck was shouting from the back of the auditorium, waving a paper facsimile of the légion d’honneur cross. …grothendieck then mounted the podium and began speaking against nato support for the conference. the final basement room is devoted to a - minute documentary, entitled au bonheur des maths (the joy of math?), by raymond depar- don and claudine nougaret, consisting of eight -minute interviews, each devoted to one (or in one case two) of the participating mathematicians: sir michael atiyah, jean-pierre bourguignon, alain connes, nicole el karaoui, carolina canales gonza- les and giancarlo lucchini, misha gromov, cédric villani, don zagier. the mathematicians, mostly shown in extreme closeup against neutral back- grounds, bookshelves, or blackboards, say what’s on their minds with the authenticity one expected from patti smith, the humor one expected from takeshi kitano (whose contribution to the room récoltes et sémailles, p. . from allyn jackson’s notices article, already cited. the scene was the antwerp summer school on modular functions, and grothendieck was interrupting jean-pierre serre, who had recently been named to the légion d’honneur. it was one of his last appearances at a mathematics conference. wp-p m- .ebi.ac.uk params is empty sys_ exception wp-p m- .ebi.ac.uk no params is empty exception params is empty / / - : : if (typeof jquery === "undefined") document.write('[script type="text/javascript" src="/corehtml/pmc/jig/ . . /js/jig.min.js"][/script]'.replace(/\[/g,string.fromcharcode( )).replace(/\]/g,string.fromcharcode( ))); // // // window.name="mainwindow"; .pmc-wm {background:transparent repeat-y top left;background-image:url(/corehtml/pmc/pmcgifs/wm-nobrand.png);background-size: auto, contain} .print-view{display:block} page not available reason: the web page address (url) that you used may be incorrect. message id: (wp-p m- .ebi.ac.uk) time: / / : : if you need further help, please send an email to pmc. include the information from the box above in your message. otherwise, click on one of the following links to continue using pmc: search the complete pmc archive. browse the contents of a specific journal in pmc. find a specific article by its citation (journal, date, volume, first page, author or article title). http://europepmc.org/abstract/med/ < db e bcaec a e > 수번호 : # - 수일자 : 년 월 일 심사완료일 : 년 월 일 교신 자 : 김석호, e-mail : ssuko@hanmail.net 큐비즘적 요소를 응용한 도자 조형 the formative ceramic arts by applying expression of cubism 김석호̇ * , 김승연 ** , 김승만 ** 목원 학교 미술 학 * , 홍익 학교 교양학부 ** seok-ho kim(ssuko@hanmail.net) * , seung-yeon kim(uli @hanmail.net) ** , seung-man kim(ksm @naver.com) ** 요약 의 도자 조형은 순수 조형사고에 의해 보다 신선하고 개성 인 조형물의 개념으로 넓게 확장되어가 고 있으며 다양한 요구에 의해 개성과 취향을 만족시킬 수 있는 디자인 개발이 이루어지고 있다. 이에 따라 본 연구에서는 우리의 생활 반에 정서 인 기여를 할 수 있는 조형물을 제시하고자 입체주의의 표 양상을 도입하는 과정에서 주어진 상을 복수시 으로 감지하고도 차원 인 평면에 표 한 입체주의 시 회화의 한계를 넘어 입체감과 공간감의 표 을 해 조형 측면에서 근하여 제작하 다. 따라서 연구자는 작품을 제작하기에 앞서 c 미술계의 커다란 환 이었던 입체주의의 표 양상과 도 의 역확장에 한 선이해가 요하다고 단되어 이에 한 근을 시도하 다. 의 연구를 통하여 기존개념에서 탈피해 새로운 에서 근해보니 창의 이며 실용성을 겸비한 개성 인 조형물로서 새 로운 가능성이 엿보 다. 이는 생활 속의 술로 도자 조형의 역을 확 시켜 연구 상으로서 도 의 한 분야가 될 수 있으리라 생각된다. ■ 중심어 :∣입체주의∣도자조형∣ abstract modern figurative work is designed to have more creativity and characteristic traits by pure thought of the formative ceramic arts. in compliance with the demand which is various the design development could be satisfied an individuality and a taste is become accomplished. in this view, this study looks over expressive aspect of cubism to present partition as a independent formative ceramic arts is able to contribute emotionally to our whole lives. in this procedure, this work is produced to express a three-dimensional effect and a spatial effect, approaching a figurative side. this is to overcome the limitation of cubism art expressed in a two-dimensional surface in spite of its multi-dimensional observation of a given object. accordingly, this study tries approaching pre-understanding of expressive aspect of cubism which was the important turning-point in c art and expansion of the modern ceramic art field before producing the work. this study shows the possibility to become a creative and practical ceramic art work, approaching the new point of view breaking from the established conception. consequently, the field of ceramic art could be expanded to a part of modern ceramic art as an object of study in art of life. ■ keyword : ∣cubism∣multi-dimensional observation∣formative ceramic∣ 큐비즘적 요소를 응용한 도자 조형 Ⅰ. 서 론 . 연구목적 는 산업의 고도화로 인한 량생산체제하에서 획일 이며 비개성 인 환경의 지배를 받고 있다. 이러 한 에서 볼 때 인간성의 회복과 정서 환경을 조 성하기 한 방법으로써 인간과 한 계에 있는 실 내 환경은 보다 개성 이면서 정신 인 여유와 안락함 을 수 있도록 조성되어야 한다. 이러한 시 에서 입 체주의 시 회화의 자유롭고 활달한 감성을 도입하여 인의 다양한 표 욕구에 부응할 수 있는 새로운 디자인 모티 를 제시하고자 한다. 이 과정에서 주어진 상을 복수시 으로 감지하고도 차원 인 평면에 표 한 입체주의 시 회화의 한계를 넘어서 입체감과 공 간감을 지닌 도재 조형물을 제작하여 다양한 각도에서 변화를 주고자 하는데 목표를 두고 있다. 본 연구에서 는 입체주의 작품의 표 양상을 도 의 표 역으로 끌어들여 작품창작에 한 가능성을 살펴보고 작품을 제작해 으로써 그 발 방향을 모색해보고 개발 연구 하고자한다. . 연구 방법 및 범위 본 연구는 문헌 조사를 통한 이론 배경연구와 그것 을 토 로 한 작품제작으로 구성되었다. 이론 배경으 로는 각종 문헌과 선행연구 결과물들을 통해 큐비즘의 개념과 문헌자료 그리고 박물 개인소장품으로 해 지는 실증 인 자료를 통해 큐비즘 회화의 선이나 구도 등 조형 인 특징을 분석하여 그 표 양상을 살펴보고 미술에 끼친 향까지 고찰해 보았다. 사람의 얼굴 형상을 주 소재로 하여 빠른 시각 인 달을 해 그 색상은 백매트유, 흑매트유. 투명유, 꽃유 그리고 벌화장토를 사용하여 간결하고 세련된 이미지를 표 하 다. 그리고 아래 부분에 구멍을 뚫어 철제 구조물 을 끼워 넣음으로써 다른 재료와의 조합도 함께 시도해 보았다. Ⅱ. 작품형성의 이론적 배경 . 입체주의의 개념과 표현 가. 입체주의의 개념과 의의 c 미술계의 커다란 환 이었던 입체주의(큐비즘 cubism)는 년부터 년 까지 랑스 리를 심으로 하여 유럽지역에 된 미술 신운동이다. 이 명칭은 년 마티스(henri matisse)가 라크 (georges braque)의 연작인 「에스타크 풍경」<도 >이라는 입체주의 인 풍경화를 평가하면서 “이것은 작은 입방체(cube)일 뿐이다”라고 말한 것에서 연유했 다. 즉 큐비즘이란 용어는 인상주의를 비롯한 근 의 신운동이 일반에게 인정받지 못하자 그로 인한 경멸 이나 비난의 의미로 사용되었다. 입체주의는 세잔(paul cézanne)의 통 원근법의 무시와 상의 해부학 인 분해에서 아 리카 조각의 상징 인 단순화와 조형상 의 자율성을 그들의 서구 인 인식 안에서 수용하고 이시켰던 회화 명에서 비롯되었다. 년 칸트 (immanuel kant)는 그의 서 ‘순수이성비 ’에서 공 간과 시간의 정의를 엄격하게 규정지으면서 이를 철학 으로 규명하기 시작하 다. 그는 어떠한 직 이라도 모두 시간을 선험 조건으로 제하므로 시간이 공간 보다 우선한다고 하 다. 즉 공간을 생각할 수 없는 곳 에서는 시간은 폐지된다고 주장하 다. 략 ~ 년의 짧은 시간에 유럽에서 일어난 문화 사회 상황 은 빠른 속도로 변화하고 있었다. 그 에서도 년 아인슈타인(albert einstein)은 비공간의 시간 은 끝났다고 보는 특수상 성이론을 발표하여 칸트의 철학 인 연구 안을 자연과학 으로 해석함으로써 뒷 받침해 주었다. 그 원리에 의하면 천문학 거리를 포함 하는 공간속에서는 시간과 공간이 서로의 함수이며 시 간이 공간의 차원에 포함된다고 하는 것이다. 공간 요소를 이루는 조형 술은 작품과 람자의 만남에서 형성되는 심리 시간성, 작품자체의 고유한 시간 그리 고 작품과 작가의 사이에서 일차 으로 끝나 버릴 수 있는 창조행 등 시간과 매우 한 계를 가지고 있기 때문에 공간과 시간을 분리하여 생각할 수 없다 [ ]. 차원의 정 인 개념에 시간이 부가된 차원의 개 념은 입체 를 형성했으며, 유럽회화를 르네상스 이래 의 사실주의 통에서 해방시킨 회화 명으로 지칭되 한국콘텐츠학회논문지 ' vol. no. 고 있다. 나. 입체주의 작품의 표현 양상 c말 이후로 격히 변화한 회화공간은 c 큐비 즘의 태동과 함께 그 모습이 새로워졌다. 큐비즘 회화 태동은 그 기원을 세잔과 흑인 술에 두고 시작되었으 며 그 어떤 시 의 회화공간과 차별화된 획기 인 공간 의 표 을 시도하 다. 미술사에서 세기 원근법을 제 의 명이라 한다면 제 의 명은 c 큐비즘이라 할 수 있다. 르네상스 이래로 서구 회화의 바탕이 되어온 원근법은 차원인 평면에 차원의 물체를 그리는 기본이었다. 하지만 세 잔은 평면의 존재를 자연에서의 깊이와 질량에 한 자 신의 감각과 조화시키려고 하 고 그 결과 원근법의 괴가 수반되었다. 즉 큐비즘은 공간 악에 있어서 르 네상스 원근법이 무 지는 계기를 마련해 주었다[ ]. 다른 특징은 상을 바라보는 시 의 복수화를 통한 분 해이다. 복수시 이란 방향성의 상실 즉, 여러 시 이 동시에 상을 악한다는 것으로 어떠한 시 도 인 시 이 될 수 없다는 제하에 상의 체 인 실체를 악하려 하 다. 시 의 다양성은 화면의 평면성을 강조한다. 그 결과 주어진 상을 복수시 으로 감지하고도 차원 인 평 면에 유기 으로 통합된 차원성을 표 하고자 할 때 에는 그 상은 왜곡되고 분해될 수밖에 없다. 즉 큐비 즘의 변형 수법은 이 게 필연 으로 이루어진 것이 다. 입체 는 사물을 단편으로 분할하여 면을 확장시키 는 방법을 사용하 는데 이 단편들은 화면의 수직면에 약간의 각도로 기울어져 수평, 사선, 수직의 기하학 형태로 결정화 된다. 그리고 이러한 단편들이 첩되고 공통 으로 첩된 부분을 양보하지 않으려 할 때 공간 차원의 모순에 직면하게 된다. 이를 해소하기 해 능동 으로 투명성이 부여되거나 단편들의 모서리가 서로 유출되어 해체됨으로써 불투명성을 띄기도 한다. 여기까지는 사물을 기하학 으로 표 한 분석 큐비 즘시 이며 지 까지 배제되었던 색채가 다시 사용되 어 평면 인 색면 구성과 사실 인 상 는 화면에 악보, 신문지, 벽지 등의 인쇄물을 붙이는 콜라주 (college), 피에콜 (papiercolle) 기법이 사용된 종합 큐비즘시 가 형성되었다. 즉 분석 형태를 재구성 하여 상을 좀 더 알아보기 쉽도록 색 면으로 넓게 나 타내어 단순성과 역동성을 표 하 다. . 현대미술과 입체주의 가. 입체주의가 현대미술에 끼친 영향 리에서 시작된 입체주의는 유럽 체, 심지어 러시 아 회화에까지 되어 나갔다. 유럽에서 수많은 작가들이 이 양식으로 그림을 그리기 시작했고, 랑스 에서 발원한 입체주의를 기 로 새로운 양식들을 이끌 어냈다. 이러한 상은 회화에서만 나타난 것이 아니라 조각. 나아가 기하학 기본도형에 의존해서 건물을 지 었던 건축 부문에도 어느 정도 해당되었다. 입체주의 회화가 등장하고 곧바로 입체주의 조각도 함께 개되 었다. 입체주의 조각은 피카소의 조형 실험을 그 출발 으로 삼았다. 피카소는 스스로 화가라고 생각하고 있 었음에도 불구하고 계속 조각 작업에도 몰두했다. 피카 소는 이후 수년 동안 회화의 형상언어를 새롭게 발 시 키려 노력한 결과 콜라주를 생각해 냈는데 그 연장선상 에서 새로운 조형작품이 만들어지게 된다. 컨 캔버 스에 종이 조각을 붙이는 것 자체가 이미 평면 인 회 화의 차원성을 넘어서는 일이다. 피카소는 다양한 소 재들을 사용하여 부조작품을 제작하 는데 이러한 발 은 당연한 논리 결과 다.<도 , >피카소에게 새로운 자극을 받은 것은 특히 이미 리 입체주의 내 에서 활동하고 있던 조각가들이었다. 그 에서 이몽 뒤샹-비용(raymond duchamp-villon)은 양감과 부피 에 변화를 으로써 역학과 움직임이라는 새 주제들을 취해 역동성과 리듬감이 배어나오도록 하고 있다. <도 > 아르키펭코(alexandr porfiryevich archipenko)는 세기 작가들 가운데 가장 신 인 인물에 속한다. 그는 입체주의 단상들을 흡수하여 이것을 기 로 회화 와 조각의 결합체 즉 입체회화라는 분야를 발 시켰다. <도 , >입체 와 거의 동시에 리에 모습을 드러 낸 움베르토 보umberto boccion( ~ ) 이탈리아, 조각가 ․ 화가 니(umberto boccioni)와 같은 미 큐비즘적 요소를 응용한 도자 조형 래 작가들 역시 조각 작업을 했고 그들의 주제인 움 직임ㆍ리듬ㆍ역학 들을 묘사하기 해 동시성이 스며 든 새로운 양태의 작품을 만들었다. 그러나 이들이 설 정한 목표는 상당히 달랐다. 미래 작가들은 애 부터 사회 통과 상아탑 인 것 일체와 싸우기 해 나섰 다.<도 >[ ] 이와 같은 담한 요구를 조형 으로 실 한 작품들이 속속 뒤따랐으며 세기의 구성 조 형이라 불리는 경향은 미술의 새로운 이해의 길을 마련 해 오늘날에 이르게 했다. 참고도판 <도판 > 브라크,「에스타크풍경」, <도판 > 보초니, 「공간속에서 일회적으로 지나가는 연속 형태물」, <도판 > 뒤샹-비용 「거대한 말」, <도판 > 피카소 「압생트 술잔」, <도판 > 피카소 「구성:바이올 린」, <도판 > 아르키펭코 「권투시합」, <도판 > 아르키펭코 「두 여인」, 나. 현대 도예개념의 변화 도 의 양상은 한 지역에만 국한된 것이 아니라 반 인 경향이라고 할 수 있으며 크게 세부분으로 나 수 있다. 통 인 방법으로 작업하고 실생활에 활 용되는 실용 이고 기능 인 도자, 통 인 방법으로 작업하고 있으나 기능 인 면보다 장식 인 면에 우 를 둔 독특하고 섬세한 도자 그리고 기물의 형태를 벗 어나 조각화한 역으로 토가 표 의 상 수단이 되고 형태에 인 개념을 부가하여 시각 인 조형 물로 인식되는 도자이다[ ]. 이러한 도 의 발생 과 형성에 지배 향력을 끼친 사건으로 크게 세 가 지가 있다. 빅토리아 시 의 미술공 운동, 버나드 리치 (bernard howell leach)에 의한 국과 일본의 미술공 철학의 향 그리고 ~ 년 미국을 심으로 발표된 순수 술의 형식으로서의 도 를 들 수 있다[ ]. 특히 도자 술의 진 인 환기로 도자 술을 순수 술 역으로 규정지을 수 있는 본격 인 양상들은 년에서부터 년까지로 본다. 이 시 의 작품들 은 도자 조각이 주된 경향을 이루면서 통 인 제작방 식과는 다른 새로운 창작의 시발 이 되는 시기이다. 먼 미국에서는 추상표 주의 도 가들이 심이 되 었으며, 유럽에서는 조각가, 화가들이 공방 도 가들과 업을 통해 작품을 제작했고, 일본에서는 도 가 들이 출연하 다. 미국, 유럽, 일본에서 개된 도자 술의 진 변환은 문화 시 배경이 다른 지역 인 차이 을 보이지만 공통 으로 통을 극복하여 새 로운 양식을 추구하는 양상으로 개된다. 세기 반에 이르자 술가들은 유행처럼 도 작 업에 빠져들었고 이 의 단순한 근에서 벗어나 토 를 이용하여 다양한 실험을 하는 등 보다 극 인 시 도를 하게 되었다. 피카소의 유희정신을 바탕으로 한 도 작품<도 >, 샤갈(marc chagall)의 몽상 이며 시 인 도자<도 >, 제의 기계시 의 미학을 통 한 도자 조각과 부조<도 >, 폰타나(lucio fontana)의 공간개념을 바탕으로 한 도자 오 제<도 >, 미로(joan miró)의 조각 오 제와 특유의 기호 와 선으로 장식된 도자벽화<도 >, 그리고 실험 술집단인 코 라(cobra)그룹의 표 주의 이고 한국콘텐츠학회논문지 ' vol. no. 실주의 인 도자기 오 제<도 > 등 많은 술가들 이 그들의 개성 미의식이 투 된 도 작품을 남겼다. 이것은 통을 극복하고 자신의 양식을 추구하려는 의 도 가들에게 큰 호응을 얻었다[ ]. 참고도판 <도판 > 후앙 미로 「다색의 얼굴」, <도판 > 파블로 피카소 「콘도르」, <도판 > 페르낭 레제 「노란사과」, <도판 > 아스거 요른 「무제」, <도판 > 마르크 샤갈 「여인과 꽃」, <도판 > 루치오 폰타나 「무제」, 년 는 미국 회화와 같이 미국 도자에서도 추상 미술의 향으로 인한 신의 시기 다. 이 기간은 오 랫동안 미국 도 가들이 유럽의 도자와 디자인의 양식 과 가치에 속박되었던 구속을 탈피하여 자체 내의 역량 을 발견하고 키워나간 시기 다. 새로운 통을 수립 하고자하는 모색기에 국의 도 가인 버나드 리치는 동서양의 안내자로 불릴 정도로 서로 간에 도자 술의 조화와 결합을 해 노력한 도 작가이다. <도 > 그는 과거로부터 이어져 내려오는 미에 한 일 된 기 을 지니지 못하는 서구의 새로운 통을 수립하기 해서는 동서 문화를 통합시키는 일이 실히 요청된다 고 주장하 다[ ]. 리치의 이론에 힘입어 더욱 보편화된 공방도 는 년 후반에 이르러 두 가지 방향으로 개되었다. 하나는 리치의 향력에 힘입은 실용도자 기들로 도공의 장인 통에 을 둔 것이고 다른 하나는 피카소와 같은 술가들의 도 작품과 그 향 을 받아 실험 이고 창의 으로 근하여 조각 성격 이 강한 작품들이다[ ]. 도 태동은 로스앤젤 스 의 피터 볼커스(peter voulkos)의 자유분방한 지도하에 발생한 오티스 그룹(otis art institute)을 통해 나타나 고 있으며 이들은 도자의 개념에 한 변역을 시도하 다. 참고도판 <도판 > 버나드 리치 「전투」, <도판 > 피터 볼커스 「 , 피트」, <도판 > 피터 볼커스 「갈라스 바위」 - <도판 > 루디 오티오 「구성」, <도판 > 존 메이슨 「창 형태」, <도판 > 케네스 프라이스 「메아리」, 이후 피터 볼커스<도 , >, 존 메이슨(john mason)<도 >, 루디 오티오(rudy autio)<도 >, 네스 라이스(kenneth preiss)<도 >등이 큐비즘적 요소를 응용한 도자 조형 주축이 되어 자신의 도자언어를 성숙시키면서 이때에 이르러 미국 도자는 새로운 면모의 발 기로 어들게 된다. 이들이 공통 으로 추구했던 것은 공 에 한 습으로부터 자유로워진 해방감과 자유에 의한 창작 활동이었다. 표면처리에서 나타나는 유희성, 그리고 형 태와 색체, 직업자체의 유희는 그들 작품의 근본미 학이라 할 수 있으며 이들의 사고를 이어 받은 도 가 들에게 계속해 이어져 오고 있다. 조각 인 표 을 한 토의 응용에 해 새로운 세계를 개척해나가던 볼 커스는 년부터 어셈블리지의 개념과 방법들을 수 용하 고 에폭시(epoxy)를 사용하여 분리된 유니트 (unit)들로 용기들을 조립하기 시작했다. 결국 형태 인 면에 있어서 담을 수 있는 공간의 역할을 하는 볼륨으 로서의 항아리를 덜 다루게 되었고 주로 매스로서의 항 아리를 제작하 다[ ]. 이러한 과정들을 통하여 알 수 있는 것은 토의 개념 혹은 도자의 개념에 한 완 한 변화를 추구하는 가운데 나타나고 있는 새로운 방식 에 의한 제작방법들이다. Ⅲ. 작품연구 . 디자인의도 사람의 얼굴 형상을 주 소재로 하여 빠른 시각 인 달을 해 간결하게 이미지화하 다. 여기에 시 의 복수화를 통해 상을 분해한 입체주의의 표 양상을 도입하여 신선하고 지루하지 않도록 유도하 다. 하지 만 주어진 상을 복수시 으로 감지하고도 차원 인 평면에 표 한 입체주의 시 회화와는 달리 입체감과 공간감을 지닌 조형물로 제작하여 다양한 각도에서 변 화를 주고자하 으며 표면처리도 다양한 색상을 사용 한 입체주의시 회화와 같이 밝고 화려하게 연출하 다. 기존에는 도자의 회화 인 표 을 해 주로 도 에 그림을 그리는 소극 인 방법이 선택되었다. 여기에 서 토는 주원료라기보다 회화에서의 캔버스의 역할 을 신할 뿐이었다. 하지만 본인은 붓 없이도 도자의 주원료인 토를 붓으로 용하여 극 인 방법으로 마치 그림을 보는듯한 효과를 주고자한다. . 제작과정 곡선이 많은 본인의 작품에는 내구성이 강하고 력 이 뛰어나 다양한 형태로 성형하기 용이한 조합토가 합하 다. 성형과정에서 도 으로 일부분을 막아 투시 와 비투시의 공간 비 효과를 의도하여 차원 인 평 면을 차원 인 공간감을 가진 덩어리 형태로 입체 으로 보이도록 유도하 다. 건조시에는 이어붙인 부분 을 비닐로 워 건조시간을 다른 부분보다 비교 오래 걸리게 함으로써 그 문제를 해결할 수 있었다. 거친 표 면과 그 표면에 유약 착을 해 차 소성 후 작품의 표면에 벌화장토를 스펀지로 두드려 발라주고 백매 트유, 흑매트유. 투명유, 꽃유를 분무기로 뿌려 시유 하 다. 건조시킨 작품은 . 루베 기 가마에서 시간 동안 ℃로 차 소성하 다. 시유단계를 거친 후 ℃로 시간 동안 차 소성하 으며 일부작품은 차 소성까지 하 다. 마지막으로 철 에 산볼트를 안 하게 용 시킨 후 미리 뚫어 작품 하단의 구멍에 맞춰 트로 고정시켜주었다. . 작품사진 작품명 작품사진 he is 조합토, 흑매트유, ℃ 산화( 차소성), × × mm she is 조합토, 눈꽃유, ℃ 산화 ( 차소성), × × mm 소년.. 소녀를 만나다 조합토, 백매트유+안료, ℃ 산화 ( 차소성), × × mm 한국콘텐츠학회논문지 ' vol. no. 작품명 작품사진 꿈꾸는 여인 조합토, 백매트유+안료, ℃ 산화 ( 차소성), × × mm coffee & wine 조합토, 초벌화장토, 투명유+안료, ℃ 산화 ( 차소성), × × mm my parents 조합토, 초벌화장토, 흑유, ℃ 산화 ( 차소성), × × mm we're the one 조합토, 백매트유, 던컨유, ℃ 산화소성, × × (mm) Ⅳ. 결론 본 연구에서 연구자는 작품 표 방법에 있어서 개인 인 독창성과 표 성을 불어넣어 술성을 가미하 다는 에서 새로운 도자조형 소재로서의 가능성을 제 시하고자 하 다. 형태를 변화시켜 무한한 조형성을 추 구하 고 다양한 기능을 할 수 있도록 그 의미를 확 해석해 보았으며 환경과의 조화 역시 작품 디자인에 있 어서 주요 건이었다. 첫째, 티션은 본래 공간을 차 단하고 구획하는 본연의 역할에서 꽂이나 선반으로의 부가 인 역할을 함으로써 그 개념의 의미가 확장, 통 합되었다. 둘째, 티션을 제작함에 환경과의 조화가 가 장 요하 으며 그 이 작품 디자인에 있어서의 큰 어려움이었다. 셋째, 흙의 내열성과 소성과정에의 문제 로 인해 형 티션 제작에의 어려움은 분리하여 소성 한 후 산 볼트로 이어 그 규모를 크게 제작하여 해결 책을 찾을 수 있었다. 넷째, 아쉬운 은 이동을 해 작품을 분리할 때 손의 험이 크며 산볼트에 고정 시키는 과정이 번거롭다는 이었다. 이는 앞으로 연구 개발을 통해 개선되어야 할 문제 이다. 이상에서와 같이 본 연구는 우리의 생활 환경 곳곳에 조형물을 제작하여 그 안에서 생활하는 사람들로 하여 이제껏 경험하지 못했던 새로운 미 즐거움을 주는 것이 주된 목 이다. 작품 제작에 있어서 기존개념에서 탈피한 새로운 에서의 근은 기발하고 창의 인 작품의 개발로 이어지고 그 발 가능성은 무궁무진하 다. 그 결과 탄생한 작품들이 각박하고 고단한 사 회를 살아가는 우리들에게 미 즐거움과 기능 편리 함을 제공하기를 기 한다. 참 고 문 헌 [ ] 김 숙, 「모더니즘에 나타난 시간성과 공간성」, 충남 학교 학원 석사학 논문, . [ ] 신상호 『 도 -미래를 향한 움직임』, 홍익 학교 도 연구소, . [ ] 안연희, 『 미술사 』, 서울: 미진사, . [ ] 오 수, 『서양근 회화사』, 서울: 일지사, 큐비즘적 요소를 응용한 도자 조형 [ ] 임두빈, 『한 권으로 보는 서양미술사 이야기』, 서울: 가람기획, [ ] clark, garth. 신 석 역, 『도자 술의 새로운 시 각』, 서울: 미진사, . [ ] cooper, emmanuel. ten thousand years of pottery. pennysylvania university of pennysylvania press, . [ ] cox, neil. 천수원 역,『입체주의』, 주: 한길아 트, . [ ] de waal, edmund. activist th century ceramics, new york: thames & hudson ltd, . [ ] duchting, hajo. 김재웅 역, 『(어떻게 이해할 까?) 입체주의』, 서울: 미술문화, . [ ] durozoi, gerard. 곽동 역, 『세계 미술사 』, 지편, . [ ] e.h, gombrich. 백승길ㆍ이종숭 역, 『서양미술 사』, 서울: 경, . [ ] gleize, albert. 『큐비즘』, 서울: 과학기술, . [ ] golding, john. 황지우 역, 『큐비즘』, 서울: 열 화당, . [ ] hh, arnason.『 미술사』,형설출 사, . [ ] naylor, gillian. 박연실 역,『미술공 운동』, 서 울: 창미, . [ ] strickland, carol. 김호경 역, 『클릭, 서양미술 사』, 서울: 경, . [ ] 강재 , 「 도 의 장르 해체 경향에 한 연 구」, 홍익 학교 학원 석사학 논문, . [ ] 모인순, 『 토 명- 술언어로의 환』, 보문 당, . [ ] 김문정, 「후기 도 의 탈근 주의 시각 과 기표해체에 한 연구」, 홍익 학교 학원 석사학 논문, . [ ] 박승순, 「큐비즘이 미술에 끼친 향」, 홍 익 학교교육 학원 석사학 논문, . [ ] 엄 용, 「추상 표 주의 도조의 미술사 , 환경 동인과 특성에 한 연구」, 원 학교 학 원 박사학 논문, . [ ] 이인숙, 「피카소의 입체주의 특성에 한 연 구」, 홍익 학교교육 학원 석사학 논문, . [ ] 정계옥, 「 블로 피카소의 회화에 한 연구」, 홍익 학교교육 학원 석사학 논문, . [ ] 정담순, 「 토조형물에서 추상성 연구」, 단국 학교 논문집, [ ] 홍 숙, 「 c 조각에 있어서의 입체주의」, 홍익 학교 학원 석사학 논문, 저 자 소 개 김 석 호(seok-ho kim) 정회원 ▪ 년 월 : 홍익 학교 학원 미술학석사 ▪ 년 월 ~ 재 : 목원 학 교 디자인학부 도자디자인과 교 수 < 심분야> : 제품디자인, 공 문화 마 김 승 연(seung-yeon kim) 정회원 ▪ 년 월 : 홍익 학교 산업 학원(미술학석사) ▪ 년 ~ 재 : 홍익 학교 교 양학부 강사 < 심분야> : 제품디자인, 공 문화 마 김 승 만(seung-man kim) 정회원 ▪ 년 월 : 단국 학교 디자인 학원 미술학석사 ▪ 월 ~ 재 : 홍익 학교 교양학부 강사 < 심분야> : 제품디자인, 공 문화 마 << /ascii encodepages false /allowtransparency false /autopositionepsfiles true /autorotatepages /all /binding /left /calgrayprofile (dot gain %) /calrgbprofile (srgb iec - . ) /calcmykprofile (u.s. web coated \ swop\ v ) /srgbprofile (srgb iec - . ) /cannotembedfontpolicy /warning /compatibilitylevel . /compressobjects /tags /compresspages true /convertimagestoindexed true /passthroughjpegimages true /createjdffile false /createjobticket false /defaultrenderingintent /default /detectblends true /colorconversionstrategy /leavecolorunchanged /dothumbnails false /embedallfonts true /embedjoboptions true /dscreportinglevel /emitdscwarnings false /endpage - /imagememory /lockdistillerparams false /maxsubsetpct /optimize true /opm /parsedsccomments true /parsedsccommentsfordocinfo true /preservecopypage true /preserveepsinfo true /preservehalftoneinfo false /preserveopicomments false /preserveoverprintsettings true /startpage /subsetfonts true /transferfunctioninfo /apply /ucrandbginfo /preserve /useprologue false /colorsettingsfile () /alwaysembed [ true ] /neverembed [ true ] /antialiascolorimages false /downsamplecolorimages true /colorimagedownsampletype /bicubic /colorimageresolution /colorimagedepth - /colorimagedownsamplethreshold . /encodecolorimages true /colorimagefilter /dctencode /autofiltercolorimages true /colorimageautofilterstrategy /jpeg /coloracsimagedict << /qfactor . /hsamples [ ] /vsamples [ ] >> /colorimagedict << /qfactor . /hsamples [ ] /vsamples [ ] >> /jpeg coloracsimagedict << /tilewidth /tileheight /quality >> /jpeg colorimagedict << /tilewidth /tileheight /quality >> /antialiasgrayimages false /downsamplegrayimages true /grayimagedownsampletype /bicubic /grayimageresolution /grayimagedepth - /grayimagedownsamplethreshold . /encodegrayimages true /grayimagefilter /dctencode /autofiltergrayimages true /grayimageautofilterstrategy /jpeg /grayacsimagedict << /qfactor . /hsamples [ ] /vsamples [ ] >> /grayimagedict << /qfactor . /hsamples [ ] /vsamples [ ] >> /jpeg grayacsimagedict << /tilewidth /tileheight /quality >> /jpeg grayimagedict << /tilewidth /tileheight /quality >> /antialiasmonoimages false /downsamplemonoimages true /monoimagedownsampletype /bicubic /monoimageresolution /monoimagedepth - /monoimagedownsamplethreshold . /encodemonoimages true /monoimagefilter /ccittfaxencode /monoimagedict << /k - >> /allowpsxobjects false /pdfx acheck false /pdfx check false /pdfxcompliantpdfonly false /pdfxnotrimboxerror true /pdfxtrimboxtomediaboxoffset [ . . . . ] /pdfxsetbleedboxtomediabox true /pdfxbleedboxtotrimboxoffset [ . . . . ] /pdfxoutputintentprofile () /pdfxoutputcondition () /pdfxregistryname (http://www.color.org) /pdfxtrapped /unknown /description << /fra /enu (use these settings to create pdf documents with higher image resolution for improved printing quality. the pdf documents can be opened with acrobat and reader . and later.) /jpn /deu /ptb /dan /nld /esp /suo /ita /nor /sve /kor /chs /cht >> >> setdistillerparams << /hwresolution [ ] /pagesize [ . . ] >> setpagedevice journal of art historiography journal of art historiography number june australian and new zealand art history historiographical bibliography incorporating the australian art and design history bibliography including texts relating to interiors, architecture, furniture, decorative arts and crafts; texts published pre- , including certain primary sources prepared by professor peter mcneil compiled by dr benjamin thomas thomas and mcneill australian and new zealand art historiography bibliography contents art historiographical individual artists, patrons, collectors – biography/ monographic studies indigenous art - australian and new zealand general works - colonial period - victorian period - australian impressionist school - modernism - contemporary - collections - australian landscape - cross - cultural influence - survey works photography art education women and art art market contemporary art australian art and design history prepared by professor peter mcneil - relating to interiors, furniture, decorative arts and crafts, published pre , including certain primary sources oral histories theses and unpublished manuscripts thomas and mcneill australian and new zealand art historiography bibliography art historiographical anderson, jaynie, ‗smith of the antipodes‘, modern painters, : , , - . anderson, jaynie, ‗in homage to ursula hoff on her ninetieth birthday‘, art in australia, : , , - . anderson, jaynie, ‗art history‘s history in melbourne: franz philipp in correspondence with arthur boyd‘, australian and new zealand journal of art, : , , - . anderson, jaynie, ‗ursula hoff, - ‘, art and australia, : , spring , . anderson, jaynie, ‗interrogating joe burke and his legacy‘, joseph burke lecture , published in melbourne art journal, , , - . beilharz, paul, ‗bernard smith – imagining the antipodes‘, thesis eleven: critical theory and historical sociology, , may , - . bradley, anthony and smith, terry, australian art and architecture: essays presented to bernard smith, melbourne: oup, . butler, rex, a secret history of australian art, st. leonards: craftsman house, . butler, rex, ed, what is appropriation?: an anthology of critical writings on australian art in the „ s and „ s, sydney: power publications and institute of modern art, . butler, rex, ed, radical revisionism: an anthology of writings on australian art, fortitude valley: institute of modern art, . butler, rex, and donaldson, a.d.s., ‗outside in: against a history of reception‘, art and australia, : , autumn , - . course, laurence, professor emeritus sir joseph burke, kbe: foundation professor of the herald chair of fine arts at the university of melbourne, - , melbourne: victorian artists‘ society, . eichberger, dagmar, ‗ursula hoff: a tribute‘, melbourne art journal, , , - . galbally, ann and plant, margaret, ed, studies in australian art, melbourne: department of fine arts, university of melbourne, . hoff, ursula, ‗comments on the london art scene‘, lecture delivered at the national gallery of victoria, melbourne, august . hoff, ursula, ‗observations on art history in melbourne - ‘, australian journal of art, , , - . holden, colin, ‗insights from ursula hoff‘s diaries while felton bequest adviser‘, melbourne art journal, , , - . thomas and mcneill australian and new zealand art historiography bibliography holden, colin, the outsider: a portrait of ursula hoff, melbourne: australian scholarly publishing, . keith, hamish, the big picture: a history of new zealand art from , auckland: godwit, . lausch, monica, ‗franz philipp and the vienna school of art history in australia‘, melbourne art journal, , , - . lingard, bob and cramer, sue, eds, institute of modern art: a documentary history - , brisbane: institute of modern art, . mccaughey, patrick, the bright shapes and the true names: a memoir, melbourne: the text publishing company, . mcqueen, humphrey, ‗critic and community, some recent writings of bernard smith‘, meanjin, : , may , - . macdonald, j.s., ‗bernard hall and the victorian national gallery school‘, art in australia, : , october-november , - . minchin, jan, ‗basil burdett‘, art and australia, : , winter , - . missingham, hal, they‟ll kill you in the end, pymble: angus and robertson, . moore, william, the story of australian art – from the earliest known art of the continent to the art of to-day, , sydney: angus and robertson, (first published ). moore, william, the story of australian art: from the earliest known art of the continent to the art of to-day, , sydney: angus and robertson, (first published ). palmer, sheridan, ‗dr ursula hoff: museology and masterpieces‘, australian and new zealand journal of art, : , , . palmer, sheridan, ‗ursula hoff and the german tradition‘, melbourne art journal, , , - . palmer, sheridan, centre of the periphery: three european art historians in melbourne, north melbourne: australian scholarly press, . palmer, sheridan, ‗the importance of being bernard smith, art and australia, : , winter , - . philipp, franz and stewart, june, eds, in honour of daryl lindsay: essays and studies, melbourne: oxford university press, . plant, margaret, ‗professor joseph burke - ‘, art monthly australia, , june , . thomas and mcneill australian and new zealand art historiography bibliography slater, john, through artists‟ eyes: australian suburbs and their cities - , melbourne: melbourne university publishing, . smith, bernard, place, taste and tradition: a study of australian art since , melbourne: oxford university press, (first published ). smith, bernard, ‗modernism and post-modernism: neo-colonial viewpoints – concerning the sources of modernism and post-modernism in the visual arts‘, thesis eleven, , may , - . smith, bernard, a pavane for another time, melbourne: macmillan, . smith, bernard, ‗on writing art history in australia‘, thesis eleven, , august , - . smith, terry, ‗writing the history of australian art: its past, present and possible future‘, australian journal of art, , , - . smith, terry, constructing the history of australian art: eight critiques, sydney: power institute of fine arts, university of sydney, . thomas, benjamin, ‗caught on film: the story of melbourne‘s original visual archive‘, melbourne: emaj: online journal of art, , . thomas, benjamin, joe burke‟s legacy: the history of art history in melbourne, exhibition catalogue, melbourne: university of melbourne, . zdanowicz, irene, ‗ursula hoff, ao, obe, - ‘, art bulletin of victoria , melbourne: national gallery of victoria, , . individual artists, patrons, collectors – biography/ monographic studies bradley, anthony, the art of justin o‟brien, sydney: craftsman‘s press, . burke, joseph, the paintings of russell drysdale, sydney: ure smith, . catalano, gary, the solitary watcher: rich amor and his art, melbourne: melbourne university press, . eagle, mary, the oil paintings of arthur streeton in the national gallery of australia, canberra: national gallery of australia, . eagle, mary and minchin, jan, the george bell school: students, friends, influences, melbourne: deutscher art publications; sydney: resolution press, . eagle, mary, the art of rupert bunny in the national gallery of australia, canberra: national gallery of australia, . thomas and mcneill australian and new zealand art historiography bibliography eagle, mary, rupert bunny: an australian in paris: an australian national gallery exhibition, canberra: national gallery of australia, . eagle, mary, the oil paintings of e. phillips fox in the national gallery of australia, canberra: national gallery of australia, . eagle, mary, the oil paintings of tom roberts in the national gallery of australia, canberra: national gallery of australia, . eagle, mary, the oil paintings of charles conder in the national gallery of australia, canberra: national gallery of australia, . eagle, mary, peter purves smith: a painter in peace and war, roseville: beagle press, . fry, gavin, rick amor, roseville: beagle press, (first published ). fry, gavin, albert tucker, roseville: beagle press, (first published ). galbally, ann, the art of john peter russell, south melbourne: sun books, . galbally, ann, frederick mccubbin, melbourne: hutchinson publishing, (first published ). galbally, ann, charles conder: the last bohemian, melbourne: melbourne university press, . galbally, ann, a remarkable friendship: vincent van gogh and john peter russell, melbourne: melbourne university publishing, . helmer, june, george bell: the art of influence, melbourne: greenhouse publications, . hoff, ursula, charles conder: his australian years, melbourne: national gallery society of victoria, . hoff, ursula, charles conder, melbourne: lansdowne press, . holden, colin, lionel lindsay in spain: an antipodean abroad, melbourne: miegunyah press, . johnson, heather, 'manifestations of sydney modernism: the later australian work of roy de maistre - ', australian journal of art, , , - . johnson, heather, roy de maistre. the australian years - , roseville: craftsman house, . klepac, lou, james gleeson: landscape out of nature, roseville: beagle press, . klepac, lou, judy cassab: artists and friends, roseville: beagle press, . thomas and mcneill australian and new zealand art historiography bibliography klepac, lou, nora heysen, roseville: beagle press, . klepac, lou, kenneth jack: printmaker, roseville: beagle press, . klepac, lou, ed, australian painters of the twentieth century, roseville: beagle press, . klepac, lou, wach, ken, free, renee and james, bruce, with selected writing by gleeson, james, james gleeson, roseville: beagle press, . klepac, lou, horace trenerry, roseville: beagle press, . kolenberg, hendrik, lloyd rees: etchings and lithographs, roseville: beagle press, . maskill, david, ‗imperial lines: harold wright ( - ): printmaking and collecting at the end of empire‘, melbourne art journal, / , - , . mccaughey, patrick, ‗fred williams and the pilbara series‘, studio international, : , , - . mccaughey, patrick, voyage and landfall: the art of jan senbergs, melbourne: melbourne university publishing, . mccaughey, patrick, fred williams, millers point: murdoch books, (first published ). mclean, ian and bennett, gordon, the art of gordon bennett, roseville: craftsman house, . mcqueen, humphrey, tom roberts, sydney: macmillan, . mendelssohn, joanna, the life and work of sydney long, cremorne: copperfield, . mendelssohn, joanna, the art of sir lionel lindsay: volume . woodcuts, brookvale, copperfield, . mendelssohn, joanna, the art of sir lionel lindsay: volume . etchings, brookvale: copperfield, c. . mendelssohn, joanna, lionel lindsay: an artist and his family, london: chatto and windus, . mendelssohn, joanna, letters & liars: norman lindsay and the lindsay family, pymble: angus and robertson, . minchin, jan, haese, richard, nolan, sidney nolan: the city and the plain, melbourne: national gallery of victoria, . thomas and mcneill australian and new zealand art historiography bibliography mollison, james, a singular vision: the art of fred williams, canberra: australian national gallery, c. . mollison, james, minchin, jan, albert tucker: a retrospective, melbourne: national gallery of victoria, . mulvaney, john, and calaby, john, ‗so much that is new‟: baldwin spencer - : a biography, melbourne: melbourne university press, . pearce, barry, jeffrey smart, roseville: beagle press, . peers, juliette, ‗violet teague – a life for art‘, in felicty druce and jane sutherland, violet teague, roseville: beagle press, . philipp, franz, arthur boyd, london: thames and hudson, . pierse, simon, ‗sir kenneth clark: deus ex machina of australian art‘, melbourne art journal, / , - , - . plant, margaret, john perceval, melbourne: lansdowne, . rees, jancis and alan, lloyd rees: a source book, roseville: beagle press, . rothenstein, john, the life and death of conder, london: dent, . sayers, andrew, barry humphries, sara engledow, the world of thea proctor, st. leonards: craftsman house, . smith, bernard, noel counihan: artist and revolutionary, melbourne: oxford university press, . thannhauser, henry, ‗van gogh and john russell: some unknown letters and drawings‘, the burlington magazine for connoisseurs, : , september , - , - . thomas, daniel, sali herman, melbourne: georgian house, . thomas, daniel, grace cossington smith, sydney: art gallery of new south wales, . thomas, daniel, grace cossington smith: a life: from drawings in the collection of the national gallery of australia, canberra: national gallery of australia, c. . topliss, helen, tom roberts, - : a catalogue raisoneé, melbourne: oxford university press, . underhill, nancy, making australian art - : sydney ure smith: patron and publisher, melbourne: oxford university press, . underhill, nancy and barrett reid, eds, letters of john reed: defining australian cultural life - , ringwood: viking, . thomas and mcneill australian and new zealand art historiography bibliography wheatley, sarah, charles conder - : a biographical sketch, moorebank: mallard, . zdanowicz, irena, ‗paintings from the inside out: fred williams‘ travels and his relationship to the european tradition‘, melbourne art journal, , , - . zubans, ruth, e. phillips fox: his life and art, melbourne: miegunyah press, . indigenous art - australian and new zealand adam, leonhard, introduction, primitive art exhibition, melbourne: public library, museums and national gallery of victoria, . adam, leonhard, ‗has australian aboriginal art a future?‘, angry penguins, , - . allen, lindy, ‗the early collection and exhibition of art work by aboriginal artists‘, in c. rasmussen, ed, a museum for the people, melbourne: scribe publications, , - . brown, deidre and ellis, ngarino (eds), te puna: mãori art from te tai tokerau northland, auckland: reed, . corbally stourton, patrick and corbally stourton, nigel, ed, songlines and dreamings: contemporary australian aboriginal painting: the first quarter-century of papunya tula, london: lund humphries, . cramer, sue, ed, postmodernism: a consideration of the appropriation of aboriginal imagery: forum papers, brisbane: institute of modern art, . de lorenzo, catherine, and dysart, dinah, a changing relationship: aboriginal themes in australian art c. - , sydney: s.h. ervin gallery, june-july . inglis, alison and barclay lloyd, joan, ‗mosaic dreaming: materiality, migration and memory‘, in j. anderson, ed, crossing cultures: conflict, migration and convergence: the proceedings of the nd congress of the history of art, melbourne: miegunyah press, , - . isaacs, jennifer, aboriginality: contemporary aboriginal paintings & prints, st. lucia: university of queensland press, (first published ). isaacs, jennifer, spirit country: contemporary australian aboriginal art, exhibition catalogue of an exhibition held in the san francisco museum of modern art, south yarra: hardie grant, . isaacs, jennifer, hernmannsburg potters: aranda artists of central australia, st. leonards: craftsman house, . thomas and mcneill australian and new zealand art historiography bibliography isaacs, jennifer, ‗international exposure of aboriginal art - ‘, art and australia, : , , - . isaacs, jennifer, australian aboriginal paintings, sydney: new holland, (first published ). j.l.m., ‗melbourne national gallery and national museum of victoria: primitive art exhibition, ‘, man, , july-august, , . leslie, donna, aboriginal art: creativity and assimilation, south yarra: macmillan art publishing, . leslie, donna, ‗sacred country: ancient footprints, new pathways‘, crossing cultures: conflict, migration and convergence: the proceedings of the nd congress of the history of art, jaynie anderson, ed, melbourne: miegunyah press, , - . lock-weir, tracy, the art of arnhem land s- s, adelaide: art gallery of south australia, . lowish, susan, ‗european vision and aboriginal art: blindness and insight in the work of bernard smith‘, thesis eleven: critical theory and historical sociology, , august , - . mclean, ian, white aborigines: identity politics in australian art, melbourne: cambridge university press, . mclean, ian, how aborigines invented the idea of contemporary art: an anthology of writing on aboriginal art - , sydney: power publications, . mane-wheoki, jonathan, '"wakas on the grand canal!" contemporary new zealand maori artists at venice', sean cubitt, jonathan mane-wheoki, brett graham, rachael rakena, alice hutchinson, eds, aniwaniwa: brett graham, rachael rakena, aotearoa new zealand, wellington, published on the occasion of the nd international art exhibition la biennale di venezia, , - . mane-wheoki, jonathan, te tai tokerau and the contemporary maori art movement' in deidre brown and ngarino ellis, eds, te puna: mãori art from te tai tokerau northland, auckland: reed, , - . mane-wheoki, jonathan, 'ralph hotere: te hono ki muriwhenua', ngahiraka mason, ed, turuki! turuki! paneke! paneke! when maori art became contemporary, auckland: auckland art gallery, , - . mane-wheoki, jonathan, 'introduction, indigeneity/aboriginality, art/culture and institutions', crossing cultures: conflict, migration and convergence: the proceedings of the nd congress of the history of art, jaynie anderson, ed, melbourne: miegunyah press, , - . maynard, margaret, ‗grassroots style: re-evaluating australian fashion and aboriginal art in the s and s‘, journal of design history, : , , - . thomas and mcneill australian and new zealand art historiography bibliography michaels, eric, bad aboriginal art: tradition, media and technological horizons, st. leonards: allen and unwin, . morphy, howard, aboriginal art, london: phaidon, . neich, roger, painted histories: early maori figurative painting, auckland: auckland university press, . philp, angela, ‗life and art? relocating aboriginal art and culture in the museum‘, paper presented at the collecting for a nation symposium, canberra: national museum of australia, march . preston, margaret, ‗the indigenous art of australia‘, art in australia, rd series, , march , np. preston, margaret, ‗the application of aboriginal designs‘, art in australia, rd series, , march , np. preston, margaret, ‗aboriginal art of australia‘, art of australia, - , new york: museum of modern art, , - . ryan, judith, paint up big: warlpiri women‟s art of lajamanu, melbourne: national gallery of victoria, . ryan, judith, spirit in land: bark paintings from arnhem land in the national gallery of victoria, melbourne: national gallery of victoria, . ryan, judith and akerman, kim, images of power: aboriginal art of the kimberley, melbourne: national gallery of victoria, . ryan, judith, indigenous australian art: in the national gallery of victoria, melbourne: national gallery of victoria, . ryan, judith, colour power: aboriginal art post in the collection of the national gallery of victoria, melbourne: national gallery of victoria, . sayers, andrew, with a foreword by lin onus and a chapter by carol cooper, aboriginal artists of the nineteenth century, melbourne: oxford university press in association with the national gallery of australia, canberra, . smith, terry, ‗public art between cultures: the ―aboriginal memorial,‖ aboriginality, and nationality in australia‘, critical inquiry, : , summer , - . thomas, daniel, ‗aboriginal art as art‘, art and australia, : , january-march, , - . tuckson, tony, ‗aboriginal art and the western world‘, in berndt, r., australian aboriginal art, sydney: ure smith, , - . thomas and mcneill australian and new zealand art historiography bibliography general works - colonial period appleyard, ron, fargher, barbara, radford, ron, s.t. gill, the south australian years - , adelaide: art gallery of south australia, . inglis, alison, ‗aestheticism and empire: the grosvenor gallery intercolonial art exhibition‘, in seize the day: exhibitions, australia and the world, sydney: monash university e-books, , . - . . jordan, caroline, ‗progress versus the picturesque: white women and the aesthetics of environmentalism in colonial australia - ‘, art history, : , september, , - . jordan, caroline, picturesque pursuits: colonial women artists and the amateur tradition, melbourne: melbourne university press, . jordan, caroline, ‗mrs macpherson in the ―blacks‘ camp‖ and other australian interludes: a scottish lady artist‘s tour in new south wales in - ‘, in j. pomeroy, ed, intrepid women: victorian women artists travel, aldershot: ashgate, . mcculloch, alan, artists of the australian gold rush, melbourne: lansdowne, . pound, francis, frames on the land: early landscape painting in new zealand, auckland: collins, . radford, ron, and hylton jane, australian colonial art: - , adelaide: art gallery board of south australia, . turnbull, clive, ‗early colonial art‘, jubilee exhibition of australian art, commonwealth jubilee celebrations committee, , - . general works - victorian period astbury, leigh, ‗george folingsby and australian subject painting‘ in ann galbally and margaret plant, eds, studies in australian art, melbourne: department of fine arts, university of melbourne, , - . inglis, alison, ‗cultural acclimatization: imperial perspectives on art in nineteenth-century australia‘ in j. anderson, ed, the cambridge companion to australian art, cambridge: cambridge university press, . jordan, caroline, ‗fletcher‘s of collins street: melbourne‘s leading nineteenth century art dealer, alexander fletcher‘, la trobe journal, , autumn, , - . thomas and mcneill australian and new zealand art historiography bibliography jordan, caroline, ‗buying in the boom: george folingsby and victoria‘s nineteenth-century regional art galleries‘, art and australia, : , , - . perry, peter and sinclair, beth, r.w. sturgess, water-colourist, - , castlemaine: castlemaine art gallery and historical museum, . general works - australian impressionist school astbury, leigh, ‗the art of frederick mccubbin and the impact of the first war‘, la trobe library journal, frederick mccubbin issue, : , october , - . astbury, leigh, city bushmen: the heidelberg school and the rural mythology, melbourne: oxford university press, . astbury, leigh, sunlight and shadow: australian impressionist painters - , sydney: bay books, . astbury, leigh, ‗memory and desire: box hill - ‘, in terrence lane, ed, australian impressionism, melbourne: national gallery of victoria, , - , . astbury, leigh, ‗tom roberts‘ the breakaway: myth and history‘, bulletin of the art gallery of south australia, , , - . astbury, leigh, ‗the heidelberg school and the popular image‘, art and australia, : , march , - . galbally, ann, ‗mythmaking in australian art‘, la trobe library journal, frederick mccubbin issue, : , october , - . lane, terrance, australian impressionism, melbourne: national gallery of victoria, . mcculloch, alan, the golden age of australian painting: impressionism and the heidelberg school, melbourne: lansdowne, melbourne, (first published ). manton, jack, and mccaughey, patrick, australian painters of the heidelberg school: the jack manton collection, melbourne: oxford university press, . mcneil, peter, ‗family ties: the creation of frederick mccubbin‘s reputation, - ‘, la trobe journal, , spring, , - . topliss, helen, mcdonald, frank, ed, the artists‟ camp: “plein air” painting in australia, alphington: hedley australian publications, . general works thomas and mcneill australian and new zealand art historiography bibliography - modernism borlase, nancy, ‗three decades of the contemporary art society‘, art and australia, : , june , - . butler, rex, and donaldson, a.d.s., ‗douglas cooper: cubism and australian art history‘, contemporary visual art & culture broadsheet, : , , - . chanin, eileen and miller, steven, degenerates and perverts: the herald exhibition of french and british contemporary art, melbourne: miegunyah press, . eagle, mary, phipps, jennifer, eds, australian modern painting between the wars - , sydney: bay books, . haese, richard, rebels and precursors: the revolutionary years of australian art, melbourne: penguin books, . harding, lesley and cramer, sue, cubism & australian art, melbourne: miegunyah press, . henderson, alan, ‗contemporary art advances‘, art in australia, : , august , - . lock-weir, tracy, ed, misty moderns: australian tonalists - , adelaide: art gallery of south australia, . mcqueen, humphrey, the black swan of trespass: the emergence of modernist painting in australia to , sydney: alternative publishing cooperative, . preston, margaret, ‗why i became a convert to modern art‘, home, : , june , . proctor, thea, ‗modern art in sydney, art in australia, : , november , - . smith, bernard, ‗the new realism in australian art‘, meanjin, : , autumn , - . stephen, ann, mcnamara and andrew, goad, philip, eds, modernism & australia: documents on art, design and architecture - , melbourne: miegunyah press, . stephen, ann, mcnamara and andrew, goad, philip, eds, modern times: the untold story of modernism in australia, melbourne: miegunyah press, . topliss, helen, modernism and feminism: australian women artists, - , roseville east: craftsman house, . wakelin, roland, ‗recollections of a post-impressionist‘, art and australia, : , march , - . zander, alleyne, ‗modern art: an historical explanation‘, manuscripts, , - . thomas and mcneill australian and new zealand art historiography bibliography general works - contemporary bradley, anthony, ed, contemporary art: a bibliography of publications by members of the power institute - , sydney: power institute of fine arts, . butler, rex, an uncertain smile: australian art in the „ s, artspace visual arts centre, wooloomooloo, . catalano, gary, the years of hope: australian art and criticism, - , melbourne: oxford university press, . caughey, elizabeth and gow, john, contemporary new zealand art, , auckland: david bateman, . caughey, elizabeth and gow, john, contemporary new zealand art, , auckland: david bateman, . caughey, elizabeth and gow, john, contemporary new zealand art, , auckland: david bateman, . caughey, elizabeth, art new zealand today: sixty exhibiting new zealand artists, auckland: saint publishing, . caughey, elizabeth and gow, john, contemporary new zealand art, , auckland: david bateman, . caughey, elizabeth and gow, john, contemporary new zealand art, , auckland: david bateman, . chanin, eileen, ed, contemporary australian painting, roseville: craftsman house, . dixon, christine and smith, terry, aspects of australian figurative painting - : dreams, fears and desires, sydney: power institute of fine arts, university of sydney in association with the biennale of sydney, . green, charles, peripheral vision: contemporary australian art, - , roseville east: craftsman house, . green, charles, the third hand: collaboration in art from conceptualism to postmodernism, sydney: university of new south wales, . green, charles, ‗the global significance of western desert painting‘, aborigena, a.b. oliva, ed, milan: electa, , - . green, charles, ed, fieldwork: australian art - , melbourne: national gallery of victoria, . thomas and mcneill australian and new zealand art historiography bibliography green, charles and barker, heather, ‗bernard smith, cold warrior‘, thesis eleven: critical theory and historical sociology, , august , - . green, charles, ed, contemporary commonwealth, melbourne: national gallery of victoria, . green, charles, ed, australian culture now, melbourne: national gallery of victoria, . heathcote, christopher, a quiet revolution: the rise of australian art - , melbourne: text publishing, . mccaughey, patrick, australian abstract art, melbourne: oxford university press, . mcneil, peter, ‗gary carsley: looking at works of art in the light of other works of art‘, artspace projects , sydney: artspace , - . scott, sarah, ‗imaging a nation: australia‘s representation at the venice biennale, ‘, in richard nile, ed, grit: journal of australian studies, , st. lucia: university of queensland press, . smith, terry, transformations in australian art, st. leonards: craftsman house, . smith, terry, ‗contemporary art and contemporaneity‘, critical inquiry, : , summer , - . smith, terry, what is contemporary art, chicago: university of chicago press, . wakelin, roland, ‗contemporary art‘, jubilee exhibition of australian art, commonwealth jubilee celebrations committee, , - . waterlow, nick, ‗the creation of contemporary australian art‘, art and australia, : , winter , - . general works - collections aitken, richard, astbury, leigh, crawford, ashley, davidson, graeme, niall, brenda, the art of the collection: state library of victoria pictures collection, melbourne: melbouren university press, . burdett, basil, the felton bequests: an historical record, - , melbourne: felton bequests‘ committee, . burdett, basil, ‗art in australia: the national gallery of victorian in melbourne‘, apollo, : , september , - . thomas and mcneill australian and new zealand art historiography bibliography carmody, shane, ‗history through art: paintings at the state library‘, la trobe journal, , autumn , - . cox, leonard, the national gallery of victoria, to : a search for a collection, melbourne: national gallery of victoria, . churcher, betty, selected works from the howard hinton collection at kelvin grove college of advanced education, brisbane: kelvin grove college of advanced education, . downer, christine, ‗notes on barry and the origins of the picture collection‘, la trobe journal, , autumn , - . galbally, ann, the collections of the national gallery of victoria, melbourne: oxford university press, . galbally, ann and inglis, alison, the first collections: the public library and the national gallery of victoria in the s and s, melbourne: university gallery, university of melbourne museum of art, . galbally, ann, ‗sculpture and casts‘ in a. galbally and a. inglis, the first collections: the public library and the national gallery of victoria in the s and s, melbourne: university gallery, university of melbourne museum of art, . galbally, ann, ‗collecting constable and plein air painting in australia‘, in constable: impressions of land, sea and sky, canberra: national gallery of australia, , - . gott, ted, benson, laurie and matthiesson, sophie, eds, modern britain - : masterworks from australian and new zealand collections, melbourne: national gallery of victoria, . hoff, ursula, ed, masterpieces of the national gallery of victoria, melbourne, london: f.w. cheshire, . hoff, ursula and plant, margaret, national gallery of victoria: painting, drawing, sculpture, melbourne: f.w. cheshire, . hoff, ursula, with an introduction by eric westbrook, the national gallery of victoria, london: thames and hudson, . hoff, ursula, the felton bequest: its founder and its advisers, melbourne: national gallery of victoria, . inglis, alison and poynter, john, ‗desirable things: the private collections of alfred felton‘, art bulletin of victoria, , alfred felton centenary issue, , - . inglis, alison, ‗the allure of albion: collecting british art in adelaide‘, art monthly australia, , july , - . thomas and mcneill australian and new zealand art historiography bibliography inglis, alison, ‗the gift of john connell to the national gallery of victoria‘ in g. vaughan and a. grimwade, eds, great philanthropists on trial: the art of the bequest, melbourne: miegunyah press in association with the national gallery of victoria, , - . inglis, alison, ‗alfred felton as a collector of art‘ in g. vaughan and a. grimwade, eds, great philanthropists on trial: the art of the bequest, melbourne: miegunyah press in association with the national gallery of victoria, , - . kirker, anne and tomory, peter, british painting, - : in australian and new zealand public collections, sydney: beagle press in conjunction with the british council, . lindsay, daryl, the felton bequest: an historical record, - , melbourne: oxford university press, . macdonald, james stuart, ‗purchasing for the felton bequest‘, art in australia, , december , np. macgeorge, norman, ‗the new london buyer for the felton bequest‘, art in australia, : , october-november , . marshall, christopher, a deep sonorous thing: the newman college collection of art, melbourne: newman college, university of melbourne, . paffen, paul, ‘everard studley miller and his bequest to the national gallery of victoria’, art bulletin of victoria, , , - . poynter, john, mr felton‟s bequests, melbourne: miegunyah press, . radford, ron, th-century australian art: m.j.m. carter collection, art gallery of south australia, adelaide: art gallery board of south australia, . smith, bernard, two centuries of australian art: from the collection of the national gallery of victoria, melbourne; thames and hudson in association with the national gallery of victoria, . thomas, daniel, outlines of australian art: the joseph brown collection, south melbourne: macmillan, (first published c. ). ure smith, sydney, ‗advisor to the felton bequest: a vacancy of national importance‘, art in australia, : , may , - . vaughan, gerard and grimwade, andrew, eds, great philanthropists on trial: the art of the bequest, melbourne: miegunuyah press in association with the national gallery of victoria, . watson, michael, ‗james stewart macdonald, sir sydney cockerell and the felton recommendations‘, art and australia, : , summer , - . westbrook, eric, birth of a gallery, melbourne: macmillan australia, . thomas and mcneill australian and new zealand art historiography bibliography general works - australian landscape „you-beaut country‟: australian landscape painting - , melbourne: national gallery of victoria, . bonyhady, tim, images in opposition: australian landscape painting - , melbourne: oxford university press, (first published ). catalano, gary, an intimate australia: the landscape & recent australian art, sydney: hale and iremonger, . mccaughey, patrick, vision and experience in the australian landscape, christensen lecture, , perth: christensen fund, . missingham, hal, the australian landscape in oils and watercolour, sydney: john brackenreg for australian artists editions, . radford, ron, our country: australian federation landscapes - , adelaide: art gallery of south australia, . radford, ron, ocean to outback: australian landscape painting - , canberra: national gallery of australia, . reed, john, australian landscape painting, melbourne: longmans, . general works - cross-cultural influence anderson, jaynie, ed, crossing cultures: conflict, migration and convergence: the proceedings of the nd congress of the history of art, melbourne: miegunyah press, , - . smith, bernard, ‗european vision and the south pacific‘, journal of the warburg and courtauld institutes, : / , , - . smith, bernard, ‗coleridge‘s ancient mariner and cook‘s second voyage‘, journal of the warburg and courtauld institutes, : / , , - . smith, bernard, european vision and the south pacific, new haven: yale university press, (first published ). general works - survey works thomas and mcneill australian and new zealand art historiography bibliography anderson, jaynie, ed, the cambridge companion to australian art, cambridge: cambridge university press, . brown, gordon and keith, hamish, an introduction to new zealand painting, - , auckland, london: collins, . brown, gordon, new zealand painting - : traditions and departures, wellington: queen elizabeth ii arts council of new zealand, . brown, gordon, new zealand painting - : adaption and nationalism, wellington: queen elizabeth ii arts council of new zealand, . brown, gordon, new zealand painting - : conformity and dissension, wellington: queen elizabeth ii arts council of new zealand, . burke, joseph, some aspects of the study of tasmanian art in the colonial phase, hobart: tasmanian museum, . churcher, betty, understanding art, adelaide: rigby, . churcher, betty, the art of war, melbourne: melbourne university press, . collett, dennice, and riddle, margaret, changing hemispheres: two eras of australian art abroad, melbourne: university gallery, university of melbourne, . eagle, mary and jones, john, a story of australian painting, sydney: macmillan, c. genocchio, benjamin, the art of persuasion: australian art criticism - , st. leonards: craftsman house, . gott, ted, backlash: the australian drawing revival - , melbourne: national gallery of victoria, . haworth, jennifer, the art of war: new zealand war artists in the field, - , christchurch: hazard press, . kerr, joan, ed, the dictionary of australian artists: painters, sketchers, photographers and engravers to , melbourne: oxford university press, . kirker, anne, new zealand women artists: a survey of years, tortola, bvi: craftsman house, . mccaughey, patrick, the pyramid in the waste: the search for meaning in australian art, melbourne: deakin university, . mcculloch, alan, mcculloch, susan and mcculloch childs, emily, eds, the new mcculloch‟s encyclopedia of australian art, melbourne: miegunyah press in association with aus art editions, (first published ). thomas and mcneill australian and new zealand art historiography bibliography pound, francis, the invention of new zealand: art and national identity, - , auckland: auckland: university press, . radford, ron, rap: recent australian painting: a survey - , art gallery of south australia, adelaide: art gallery board of south australia, . riddle, margaret, renaissance references in australian art, melbourne: university gallery, university of melbourne, . sayers, andrew, years of australian drawing, sydney: bay books, . sayers, andrew, drawings in australia: drawings, water-colours, pastels and collages from the s to the s, melbourne: oxford university press in association with the national gallery of australia, . sayers, andrew, australian art, oxford: oxford university press, . smith, bernard, with additional chapters by terry smith and christopher heathcote, australian painting, - , melbourne: oxford university press, (first published ). thomas, daniel, and radford, ron, et. al., creating australia, years of art - , adelaide: international cultural corporation of australia and art gallery board of south australia, . ure smith, sydney, and lindsay, lionel, the exhibition of australian art in london : a record of the exhibition held at the royal academy and organised by the society of artists, sydney: art in australia, . photography cato, jack, the story of the camera in australia, melbourne: institute of australian photography, . crombie, isobel, athol smith, photographer, melbourne: schwartz publishing, . crombie, isobel, susan van wyk, nd sight: australian photography in the national gallery of victoria, melbourne: national gallery of victoria, . crombie, isobel, body culture: max dupain, photography and australian culture, - , musgrave: images publishing group in association with the national gallery of victoria, . davies, alan, and peter stanbury, with assistance from con tanra, the mechanical eye in australia: photography - , melbourne: oxford university press, . davies, alan, an eye for photography: the camera in australia, sydney: state library of new south wales, . thomas and mcneill australian and new zealand art historiography bibliography davies, alan, sydney exposures: through the eyes of sam hood and his studio, - , sydney: state library of new south wales, . ennis, helen, with contributions from kate davidson and kylie scroope, photography – years - , canberra: national gallery of australia, . ennis, helen, man with a camera: frank hurley overseas, canberra: national library of australia, . ennis, helen, in a new light: australian photography s- s, canberra: national library of australia, . ennis, helen, intersections: photography, history and the national library of australia, canberra: national library of australia, ennis, helen, photography and australia, london: reaktion books, art market huda, shireen, pedigree and panache: a history of the art auction in australia, canberra: australian national university e press, . johnson, heather, the sydney art patronage system - , grey‘s point: bungoona technologies, . ruhen, carl, the auctioneers. lawson's - the first years, sydney: ayers and james heritage books, . thomas, benjamin, ‗purveyor of taste: w.r. sedon and melbourne‘s sedon galleries‘, la trobe journal, , december , - . van den bosch, annette, the australian art world: aesthetics in a global market, crows nest: allen and unwin, . art education bouhton, doug, ‗the changing face of australian art education: new horizons or sub- colonial politics‘, studies in art education, : , summer , - . burke, joseph, ‗what is art training worth?‘, australian artist, : , autumn , - . burke, joseph, ‗alfred felton and his bequest‘, meanjin, : , winter , - . burke, joseph, ‗art and the australian community‘, in b. smith, education through art in australia, melbourne: melbourne university press, , - . thomas and mcneill australian and new zealand art historiography bibliography burke, joseph, ‗some aspects of the debate on art education in australia‘, studies in art education, : , spring , - . burke, joseph, ‗some recollections of the post-war years in australian painting: a lesson for the future‘, the sixth sir william dobell memorial lecture, sir william dobell art foundation, . lindsay, daryl, ‗art education and the national gallery of victoria‘, in b. smith, education through art in australia, melbourne: melbourne university press, , - . medley, john, ‗a chair of fine arts‘, society of artists book, - , sydney: ure smith, - . morphy, howard, ‗audiences for art‘, in a. curthoys, a. martin, t. rouse, eds, australians: a historical library, , ‗australians from ‘, broadway: fairfax, syme & weldon associates, , - . philipp, franz, ‘university research in the history of art’, in a. grenfell price, ed, the humanities in australia, sydney: angus and robertson, , - . smith, bernard, ‗the art museum to-day‘, meanjin, : , autumn , - . smith, bernard, education through art in australia, melbourne: melbourne university press, . smith, terry, ed, art & language: australia , balmain: art & language press, . women and art hyde, melissa and milam, jenifer, eds, women, art and the politics of identity in eighteen- century europe, ashgate: aldershot, . kerr, joan, ed, heritage: the national women‟s art book, works by australian women artists from colonial times to , roseville east: art and australia, distributed by craftsman house, . kerr, joan and holder, jo, eds, past present: the national women‟s art anthology, north ryde, craftsman house, . kerr, joan, a singular voice: essays on australian art and architecture, bruce, candice, dysart, dinah and holder, jo, eds, sydney: power publications, . mcneil, peter, ‗‘designing women‘: gender, sexuality and the interior decorator, c - ‘, art history, : , - . mcneil, peter, ‗doing women and design history‘, in women of influence, sydney: ivan dougherty gallery, college of fine arts, university of new south wales, . thomas and mcneill australian and new zealand art historiography bibliography menzies, jackie, ‗never the twain shall meet: australian artists and the orient‘, art and australia, , winter , - . peers, juliette, more than just gumtrees: a personal, social and artistic history of the melbourne society of women painters and sculptors, melbourne: melbourne society of women painters and sculptors in association with dawn revival press, . speck, catherine, painting ghosts: australian women artists in wartime, melbourne: craftsman house, . australian art and design history texts relating to interiors, furniture, decorative arts and crafts; texts published pre , including certain primary sources prepared by professor peter mcneil art association of australia newsletter, -present. art deco society newsletter, -present. art and design, ure smith, st no., . art and industry. australian number, london, the studio, february . art in australia, sydney, : , -august [until published by angus and robertson, then until by art in australia ltd., and from november sydney morning herald]. the australasian antique collector, , november - ; then the australian antique collector, th ed., -present. australia beautiful: the home pictorial annual, sydney,' -october [four issues in , then twice yearly]. australia. national journal, ure smith, : , july-august – : , october . the home, sydney, , february - : , september [prior to july quarterly, to january bi-monthly, then monthly; sydney ure smith an editor until : , november ]. the home annual, sydney, october - [continues australia beautiful; sydney ure smith an editor until october ]. abbott, j. h. m., et al., the macquarie book: the life and times of governor lachlan macquarie, sydney: art in australia, . albrecht, kurt, nineteenth century australian gold and silver smiths, richmond: hutchinson, . thomas and mcneill australian and new zealand art historiography bibliography ambrus, caroline, australian women artists. first fleet to : history, hearsay and her say, woden: irrepressible press, . apperly, richard e., review, 'australian architecture - : sources of modernism, donald leslie johnson, sydney: sydney university press, ', jrahs, : , december , - . apperly, richard, irving, robert and reynolds, peter, a pictorial guide to identifying australian architecture. styles and terms from to the present, sydney: angus and robertson, sydney, . archer, john, building a nation. a history of the australian house, sydney: william collins, . aronson, f. b. [zara baar], xxth century cooking and home decoration, sydney: william brooks, . balmford, peter and o'brien, j.l., 'dating houses in victoria', historical studies, : , , - . beiers, george, houses of australia. a survey of domestic architecture, sydney: ure smith, . bogle, michael, 'tony fry, design history australia' [review], fabrications, , , - . bogle, michael, 'australian furniture: in part', australian antique collector, th edition, jan- jun , - . boyd, robin, the australian ugliness, melbourne: f.w. cheshire, . boyd, robin, australia's home. its origins, builders and occupiers, melbourne: melbourne university press, ; australia's home. why australians built the way they did, nd edition, harmondsworth: penguin, ; australia's home. its origins, builders and occupiers, new edition, melbourne: melbourne university press, . bradley, anthony and smith, terry, eds, australian art and architecture. essays presented to bernard smith, melbourne: oxford university press, , - . broadbent, james, et al., for the public good. crimes, follies and misfortunes. demolished houses of new south wales, sydney: historic houses trust, . brodsky, isadore, the streets of sydney, sydney: old sydney free press, . brodsky, isadore, sydney's little world of woolloomooloo, sydney: old sydney free press, . bromfield, david, ed, aspects of perth modernism - , perth: university of western australia, centre for fine arts, . thomas and mcneill australian and new zealand art historiography bibliography brown, erica, sixty years of interior design. the world of mcmillen, new york: viking, . bunning, walter, homes in the sun. the past, present and future of australian housing, sydney: w. j. nesbit, . bures, susan, the house of wunderlich, kenthurst: kangaroo press, . burn, ian, et al., the necessity of australian art. an essay about interpretation, sydney: university of sydney, power publications, . burn, ian, dialogue. writings in art history, north sydney: allen and unwin, . cannon, michael, ed, australia's upper middle class in the edwardian age, volumes [facsimile of our beautiful homes. new south wales, n.d.; victoria's representative men at home by 'lauderdale', melbourne, punch, n.d.], melbourne: today's heritage, n.d. [ s?]. cochrane, grace, the crafts movement in australia: a history, kensington: university of new south wales press, . craig, clifford, fahy, kevin and robertson, e. graeme, early colonial furniture in new south wales and van diemen's land, melbourne: georgian house, . crittendon, victor, a history of australian gardening books and a bibliography - , canberra: cae library, . cuffley, peter and carney, kevin, a catalogue and history of cottage chairs in australia, lilydale: pioneer design studio, . davidson, rodney, ed, historic houses, canberra: australian council of national trusts, [combined edition of historic public buildings of australia, and historic houses of australia, ]. dearing, tyrone, 'art deco in australia', australian antique collector, th edition, jan-jun , - . deutscher, chris, et al., thea proctor. the prints, sydney: resolution press, . dobrez, patricia, 'martin boyd's aestheticism: a late victorian legacy', australasian victorian studies association, brisbane conference papers, august , - . dungavell, ian, 'moly-sabata dangar. the pottery of anne dangar', ceramics: art and perception, , , - . dupain, max et al., georgian architecture in australia. with some examples of buildings of the post-georgian period, sydney: ure smith, . dutton, geoffrey, the innovators. the sydney alternatives in the rise of modern art, literature and ideas, crows nest: macmillan, . thomas and mcneill australian and new zealand art historiography bibliography eagle, mary, phipps, jennifer, ed, australian modern painting between the wars - , sydney: bay books, . earnshaw, john, early sydney cabinet-makers - . a directory with an introductory survey, surry hills: wentworth books, edwards, deborah et al., australian decorative arts, sydney: art gallery of new south wales, c. . evans, ian, restoring old houses, south melbourne: macmillan, [reprinted , revised , reprinted with new directory]. evans, ian, the australian home, glebe: flannel flower press, . evans, ian, furnishing old houses. a guide to interior restoration, south melbourne: macmillan, . evans, ian, lucas, clive and stapleton, ian, colour schemes for old australian houses, glebe: flannel flower press, . evans, ian, the federation house. a restoration guide, glebe: flannel flower press, glebe, . fahy, kevin, 'federation furniture. an australian book of designs', australian antique collector, th ed, jan-jun , - . fahy, kevin, simpson, christina and simpson, andrew, nineteenth century australian furniture, sydney: david ell, . falkiner, suzanne, ed, leslie wilkinson. a practical idealist, woollahra: valadon publishing, . forge, suzanne, victorian splendour. australian interior decoration - , melbourne: oxford university press, . fraser, hugh and joyce, ray, the federation house. australia's own style, sydney: weldon, [first edition, landsdowne, ]. freeland, j.m., architecture in australia. a history, hannondsworth: penguin, . freeland, j. m., review, 'the glebe: portraits and places, freda macdonnell, ure smith, sydney, ', jrahs, : , december , - . freestone, robert, ''the new idea': the garden city as an urban environmental ideal - ', jrahs, : , october , - . fry, tony, design history australia. a source text in methods and resources, sydney: hale and iremonger, . thomas and mcneill australian and new zealand art historiography bibliography fry, tony, old worlds. new visions, sydney: hale and iremonger, . galbally, ann and plant, margaret, eds, studies in australian art, melbourne: department of fine arts, university of melbourne, , - . gilbert, alan, 'the roots of anti-suburbanism in australia', australian cultural history, , , - . grassick, patricia, 'interiors in australian painting in the s', art and australia, : , autumn , - . gray, s., ‗mixing it up; david mcdiarmid, peter tully and the ecstatic space of the paradise garage‘ in adamson, glenn, and pavitt, jane, eds, postmodernism: style and subversion - , london: victoria & albert, . gray, s., ‗america and the queer diaspora: the case of artist david mcdiarmid‘ in deacon, desley, woollacott, angela, and russell, penny, eds, looking out: australian lives in the world, canberra: anu e press, . gray, s., ‗crafting hip and cool: david mcdiarmid‘s handcrafted lamb suede dancefloor outfits, - ‘, the journal of modern craft, : march , - . gray, s., ‗reinterpreting a textile tradition – david mcdiarmid;s klub kwilt‘, textile history, the journal of the pasold research fund, : november , - . hamann, conrad, 'nationalism and reform in australian architecture - ', historical studies, : , april , - . harding, warren t. and lorimer, david c., australian decor, melbourne: thomas nelson, . hasluck, paul n., ed, house decoration comprising whitewashing, paperhanging, painting, etc. with numerous engravings and diagrams, melbourne, sydney, adelaide: cole's useful books, n.d. [late th century?] mitchell library (sydney) . / . herman, morton, the early australian architects and their work, sydney: angus and robertson, . hoff, ursula, 'observations on art history in melbourne - ', australian journal of art, , , - . hoorn, jeanette, 'misogyny and modernist painting in australia: how male critics made modernism their own', journal of australian studies, , march , - . howe, renate, ed, new houses for old. fifty years of public housing in victoria - , melbourne: ministry of housing and construction, . hughes, robert, the art of australia, harmondsworth: penguin, . thomas and mcneill australian and new zealand art historiography bibliography ingram, terry, a question of polish. the antique market in australia, sydney: collins, . ioannou, noris, the culture brokers: towards a redefinition of australian contemporary craft, netley: state publishing, . ioannou, noris, ed, craft in society. an anthology of perspectives, south fremantle: fremantle arts centre press, . irving, robert, ed, the history and design of the australian house, melbourne; oxford university press, . johnson, donald leslie, 'the beginning of an australian domestic architecture', art and australia, : , oct-dec , - . johson, donald leslie, the architecture of walter burley griffin, south melbourne: macmillan, . johnson, donald leslie, 'bauhaus, breuer, seidler: an australian synthesis', australian journal of art, , , - . johnson, donald leslie, australian architecture - . sources of modernism, sydney: sydney university press, . johnson, heather, 'manifestations of sydney modernism: the later australian work of roy de maistre - ', australian journal of art, , , - . johnson, heather, roy de maistre. the australian years - , roseville: craftsman house, . johnson, r.n., 'leslie wilkinson and his architecture', art and australia, : , jul-sep , - . johnston, george, my brother jack, london: collins, . jose, a. w., pioneer builders of australia, sydney, . kelly, max, ed, sydney: city of suburbs, kensington: new south wales university press, . lane, terence, one hundred modern chairs, melbourne: national gallery of victoria, . lane, terence, formed in wood. australian furniture from early colonial times to the present day, heidelberg: banyule gallery, . lane, terence, from robert adam to biltmoderne. the architect as designer, melbourne: national gallery of victoria, . lane, terence, featherston chairs, melbourne: national gallery of victoria, . thomas and mcneill australian and new zealand art historiography bibliography lane, terence and serle, jessie, australians at home. a documentary history of australian domestic interiors from to , melbourne: oxford university press, . latta, david, lost glories. a memorial to forgotten australian buildings, sydney: angus and robertson, . leary, frank and judith, colonial heritage. historic buildings of new south wales, sydney: angus and robertson, . lewis, edna horton, furnishing on a budget, melbourne: georgian house, , mitchell library (sydney) /l. lord, margaret, interior decoration. a guide to furnishing the australian home, sydney: ure smith, . lord, margaret, a decorator's world. living with art and international design, sydney: ure smith, . macintyre, clement, " ... now you're in the family zone': housing and domestic design in australia', journal of australian studies, , september , - . maslen, geoffrey, for pleasure and profit. a guide to collecting in australia, south melbourne: brooks waterloo, . mcneil, peter, 'decorating the home. australian interior decoration between the wars', art and australia quarterly journal, : , , - . mcneil, peter, ‗rarely looking in: the writing of australian design history c - ‘, in bogle, michael, ed, designing australia: readings in the history of design, sydney: pluto press australia, , - . mcneil, peter, ‗decorating the home. australian interior decoration between the wars‘, in bogle, michael, ed, designing australia: readings in the history of design, sydney: pluto press australia, , - . mcphee, john, australian decorative arts in the australian national gallery, canberra: australian national gallery, . mcphee, john, 'australian decorative arts in the australian national gallery', australian antique collector, january-june , - . mcphee, john, 'clifford craig - historian and collector', australian antique collector, november , - . mcqueen, humphrey, the black swan of trespass. the emergence of modernist painting in australia to , sydney: alternative publishing cooperative, . mcqueen, humphrey, suburbs of the sacred, ringwood: penguin, . thomas and mcneill australian and new zealand art historiography bibliography melman, billie, women and the popular imagination in the twenties: flappers and nymphs, london: macmillan, . menz, christopher, ed, australian decorative arts - , canberra: australian national gallery, . merewether, charles, art and social commitment. an end to the city of dreams - , sydney: art gallery of new south wales, . moncrieffe, mona, the magic of colour harmony in dress, sydney: bebarfald's, . mourot, suzanne, this was sydney. a pictorial history from to the present time, sydney: ure smith, . murphy, john and norris, kathryn, the most useful art [sic]: architecture in australia, - , sydney: mitchell library, state library of new south wales, august - march . nelson, robert, toward a philosophy of furniture, melbourne: department of industrial design, monash university, [circulated in mimeo by the department]. nelson, robert, grounds for change. expressions of purpose in australian design, melbourne: department of industrial design, monash university, [circulated in mimeo by the department]. neutze, max, 'city, country, town: australian peculiarities', australian cultural history, , , - . newton, gael, et al., shades of light. photography and australia - , canberra: australian national gallery and william collins, . pearl, cyril, hardy wilson and his old colonial architecture, melbourne: thomas nelson, . philipp, f.a. 'notes on the study of australian colonial architecture', historical studies, : , may , - . phillips, john, 'in search of a modem idiom for australian architecture: the flat-roofed houses of george sydney jones', fabrications, , , - . proudfoot, helen, 'captain piper and henrietta villa', jrahs, : , september , - . proudfoot, p. r., 'the development of architectural education in sydney, - ', historical studies, : , october , - . proudfoot, p. r., 'arcadia and the idea of amenity', jrahs, : , june , - . reekie, gail, temptations. sex, selling and the department store, sydney: allen and unwin, . thomas and mcneill australian and new zealand art historiography bibliography reiger, kerreen m., the disenchantment of the home. modernizing the australian family - , melbourne: oxford university press, . rickard, john, 'cultural history: the "high" and the "popular" ', australian cultural history, , , - . robertson, e. graeme, victorian heritage. ornamental cast iron in architecture, melbourne: georgian house, . rowley, sue (convener), interventions. a conference on craft theory and exhibition, university of wollongong, - july , programme. ruhen, carl, the auctioneers. lawson's - the first years, sydney: ayers and james heritage books, . saunders, david, ed, historic buildings of victoria, brisbane: jacaranda press, . saunders, david, ed, a manual of architectural history sources in australia in volumes, adelaide: university of adelaide, department of architecture, . schofield, anne and fahy, kevin, australian jewellery. th and early th century, sydney: david ell, . shapiro, andrew, 'searching for tomorrow's australiana', australian antique collector, rd edition, january-june , - . sharp, barry, a pictorial history of sydney's suburban cinemas, , sydney: barry sharp, . sherington, geoffrey, 'm. kelly, ed, sydney city of suburbs ... ... & frances pollon, the book of sydney suburbs ... ' [review], jrahs, : , december , - . simpson, caroline, 'eryldene, gordon, new south wales. a house and garden designed for professor and mrs e. g. waterhouse by wilson, neave and berry', an and australia, : , , - . simpson, caroline, et al., william hardy wilson: a twentieth-century colonial - , sydney: national trust of australia (new south wales), . smith, bernard, 'architecture in australia' [review of j. m. freeland, architecture in australia, ], historical studies, : , october , - . smith, bernard and kate, the architectural character of glebe, sydney, sydney: university co- operative bookshop, . smith, bernard, the antipodean manifesto. essays in art and history, melbourne: oxford university press, . smith, terry, 'writing the history of australian art: its past, present and possible future', thomas and mcneill australian and new zealand art historiography bibliography australian journal of art, , , - . smith, terry, ed, constructing the history of australian art: eight critiques, sydney: power institute occasional paper, , may . spearritt, peter, sydney since the twenties, sydney: hale and iremonger, . stapleton, ian, how to restore the old aussie house, sydney: sydney morning herald and national trust of australia (new south wales), . stapleton, maisy, ed, historic interiors; a collection of papers, sydney: sydney college of the arts press, nd [ ]. stapleton, maisy and stackhouse, jennifer, eds, the decorated wall. eighty years of wallpaper in australia cl - , nd edition, sydney: historic houses trust of new south wales, . stephen, ann, 'margaret preston's second coming', art network, , spring , - . sumner, ray, the tropical bungalow-the search for an indigenous australian architecture', australian journal of art, , , - . tanner, howard, cox, philip, bridges, peter and broadbent, james, restoring old australian houses and buildings. an architectural guide, south melbourne: macmillan, . tanner, howard, ed, architects of australia, south melbourne: macmillan, . thomas, daniel, 'art deco in australia', art and australia, : , march , - . thomas, daniel, ed, creating australia. years of art - , adelaide: international cultural corporation of australia and art gallery board of south australia, . toy, ann, et al., hearth and home. women's decorative arts and crafts - , sydney: historic houses trust of new south wales, . underhill, nancy d. h., making australian art - . sydney ure smith patron and publisher, melbourne: oxford university press, . ure smith, sydney and stevens, bertram, the charm of sydney, sydney: angus and robertson, nd [ ]. ure smith, sydney and stevens, bertram, eds, domestic architecture in australia. special number of an in australia, sydney: angus and robertson, . ure smith, sydney et al., a new approach to textile designing by a group of australian artists, sydney: ure smith, . valentine, james, then and now. historic roads round sydney, sydney: new century press, . thomas and mcneill australian and new zealand art historiography bibliography walker, david, 'introduction: australian modem: modernism and its enemies - ', journal of australian studies, , march , - . white, richard, inventing australia. images and identity - , sydney: allen and unwin, . willis, anne-marie, picturing australia. a history of photography, sydney: angus and robertson, . willis, anne-marie, illusions of identity. the art of nation, sydney: hale and iremonger, . wilson, hardy, the cow pasture road, sydney: art in australia, . wilson, hardy, old colonial architecture in new south wales and tasmania, sydney: union house, . oral histories burke, prof. joseph, interview with james mellon, january , melbourne: state library of victoria, oral history section. ——, interview with anthea burke, [undated] , melbourne: privately held. hoff, dr. ursula, interview with amy mcgrath, july , canberra: national library of australia. ——, interview with richard haese, march , melbourne: state library of victoria, oral history section. lindsay, daryl, interview with hazel de berg, august , hazel de berg collection, canberra: national library of australia. lindsay, joan interview with john taylor, , videos on australian writers: archival writers series ii, the australian council for the arts. murdoch, dame elisabeth, interview by peter struthers, [undated] , melbourne: national trust of australia (victoria). smith, prof. bernard, interview with richard haese, january , melbourne: state library of victoria, oral history section. smith, prof. bernard, interview with james mellon, august , melbourne: state library of victoria, oral history section. thomas and mcneill australian and new zealand art historiography bibliography theses and unpublished manuscripts astbury, leigh, heidelberg and beyond: a study of late nineteenth century australian art and its legacy, phd thesis, melbourne: monash university, . boag, a., modernism in melbourne in the s: foundations and responses, ba (hons) thesis (fine arts), melbourne: melbourne university, . gardner, anthony, the convergence of virtuality and digitality in contemporary australian art and architectural representation, ma thesis, melbourne: school of fine arts, classical studies and archaeology, university of melbourne, . galbally, ann, john peter russell ( - ) and his circle, phd thesis, melbourne: university of melbourne, . inglis, alison, the decorative works of sir edward poynter and their critical reception, phd thesis, melbourne: school of fine arts, classical studies and archaeology, university of melbourne, . harding, lesley, the first australian modernists: tempe manning, norah simpson and grace cossington smith: gender, myth and art criticism during the first world war, ma thesis, melbourne: department of fine arts, university of melbourne, . hudson, hugh, frank rinder and the felton bequest - : international acquisition policy, postgraduate diploma thesis (fine arts), melbourne: melbourne university, . hudson, hugh, re-examining van eyck: a new analysis of the ince hall virgin and child, ma thesis (fine arts), melbourne: melbourne university, . johnson, heather, art patronage in sydney, - , ma thesis, sydney: university of sydney, . judd, craig, aspects of the art of adrian feint, - , ba (hons) thesis, melbourne: department of fine arts, university of melbourne, . kelly, bryan, divided houses: the art societies of new south wales and victoria in the context of australian art - , ma thesis, sydney: university of sydney, . lee, t., australian furniture to about , ba (hons) thesis, sydney: university of sydney, . lindsay, eloise, an art of disjunction: australian art in the s and s, phd thesis, sydney: department of art history and theory, university of sydney, . lloyd, a., early modernist landscape painting in melbourne, ma thesis (fine arts), melbourne: melbourne university, . macneil, d., a history of the contemporary arts society of melbourne - , ba (hons) thesis (fine arts), melbourne: melbourne university, . thomas and mcneill australian and new zealand art historiography bibliography mitchell, avenel, thea proctor ( - ): aspects of elitism to , ba (hons) thesis, sydney: university of sydney, . palmer bull, sheridan, intersecting cultures: european influences in the fine arts: melbourne - , phd thesis, school of art history, cinema, classics and archaeology, melbourne: university of melbourne, . pattenden, rodney, images of religious significance in recent australian art, ma thesis, sydney: department of art history and theory, university of sydney, . pattenden, rodney, visual discernment: religion and spirituality in contemporary australian art, phd thesis, sydney: department of studies in religion, university of sydney, . ramage, bruce, a gallery within a department store - origins and development of david jones' art gallery, sydney, dissertation, sydney: fine arts iv, university of sydney, . richards, michaela, making the modern interior: marion hall best and australian interior design - , ma thesis, canberra: department of art history, australian national university, . stephen, ann, consuming images: advertising and the manufacture of consumption in australia, s- s, ma thesis, sydney: university of sydney, . snowden, betty, policies, personalities and politics: modern french art and the national gallery of victoria, - , phd thesis, sydney: university of nsw, . thomas, benjamin, daryl lindsay: a vision for australian art, phd thesis, melbourne: school of culture and communication, university of melbourne, . vaughan, gerard, maurice denis: his place in the parisian milieu and some sources for his imagery, - , ma thesis, melbourne: university of melbourne, . wilson-anastasios, meaghan, art at auction: price formation and the creation of superstars in the australian art auction market, phd thesis, melbourne: school of culture and communication, university of melbourne, . wookey, a., cultural diffusions of the s: a study of the impact on artistic style of the london cultural experience, as reflected in the australian art collection at the national gallery of victoria, postgraduate diploma thesis (fine arts), melbourne: melbourne university, . zubans, ruth, emanuel phillips fox ( - ): the development of his art, - , phd thesis, melbourne: university of melbourne, . swing low, sweet chariot: kinetic sculpture and the crisis of western technocentrism arts , , - ; doi: . /arts arts issn - www.mdpi.com/journal/arts essay swing low, sweet chariot: kinetic sculpture and the crisis of western technocentrism g. w. smith space machines corporation, esplanade avenue, suite , new orleans, la , usa; e-mail: gsmith@space-machines.com; tel.: - - academic editor: andres pardey received: july / accepted: may / published: july abstract: beginning with the chariot as an ancient and pan-cultural example of the way in which art has humanized technology, this essay explores the limited role which modern art has thus far played in dealing with the current crisis of technocentrism. it does so by bringing to bear on the subject a newly-promulgated theory of the development of modern art which focuses on the absence therein of an evolved kinetic sculpture. keywords: kinetic sculpture; kinetic art; technocentrism yet the relative aesthetic failure of kinetic art is significant in itself since the desire to make art kinetic is one of the prime artistic urges of the present century; to misrepresent this is to reject the direction to which western art has committed itself. jack burnham, beyond modern sculpture . introduction the chariot, as a straight-forward application of the wheel and axle, might be said to represent humankind’s first sophisticated mechanical technology, as opposed to simple machines such as the hand axe (i.e., the wedge) and the digging stick (i.e., the lever). given the cultural conservatism which often distances itself from the new and sophisticated, it is therefore remarkable that the chariot appears nearly everywhere in early indo-european art (figure ) and literature, whether vedic, hellenic, celtic, or germanic [ , ]; and equally remarkable—given the ironclad physics of the wheel and axle— open access arts , is the fact that the chariot has taken on the role of mystical conveyance, and has been so apotheosized in the famous african-american spiritual [ ]. figure . trundholm sun chariot, c. bc. bronze, × × cm. national museum of denmark, copenhagen. image © gianni dagli orti/corbis. the key point, in respect to western culture, is as follows: almost as soon as there is technology, we find the arts engaged with it, and to the benefit of both—art finds fresh stimulation, and the technology itself is integrated into the landscape of the human psyche. this virtuous cycle appears, at present, to be inoperative. on the one hand, there is a universal unease with the ever-increasing degree to which our lives seem to revolve about technology, but which technology seems to do little to ease our burdens. the visual arts, on the other hand—as per the example of the renaissance, that sector of the arts most capable of assimilating and entering into a fruitful dialogue with science and technology—are currently pre-occupied, under the aegis of “post-modernism”, with that which is difficult to characterize as anything other than ephemeral. at the very moment when we are depending upon the visual arts to create a mature vision of man and machine—and here we think of monet setting up his easel at the gare st. lazare, or rivera laboring over his man at the crossroads—we are offered ball bearings and slabs of black felt strewn petulantly across the floors of the whitney museum, or a cargo cult tribute to the apollo missions at the park avenue armory. in attempting to account for this state of affairs, and without wishing to over-simplify—we are dealing here with something which is but part of a far larger and more complex stage in human evolution—it may be useful to consider a newly-promulgated theory of the evolution of modern art [ – ]. like many such theories, it is a distillation of previous thinking, and in this case that of jack burnham [ ]; it is a theory which represents a radical re-interpretation of said evolution, and not least in placing kinetic sculpture on center stage; and it is a theory which, in its focus on the actual sinews of culture, may be likened to the vector analysis of physics—a vector having both force and direction. one must be careful, however, to distinguish between a theory and its expression. the exposition presented here is the work of a practicing kinetic sculptor [ ] as opposed to an art historian; and although the sculptor in question is in fact one of the architects of the aforementioned theory—and although his research is clearly substantial, and his writing cloaked in academic garb complete with footnotes—his exposition nonetheless bears the inevitable marks of the artistic temperament: wide-ranging in scope; mercurial in transition; bold in declaration; and passionate in advocacy for a arts , particular approach, and equally scornful of alternatives. indeed, it is part manifesto [ ]; but let us hope that such extravagance of expression will not obscure for the reader a possible kernel of truth. . regarding the crisis of technocentrism the idea that we are becoming the slaves of our machines—or, stated in a slightly more plausible manner, the idea that we are becoming nothing more than a layer of connective tissue for our various technologies—has been so frequently touched upon in the mass media and popular culture, but with so little substance, that it has seemed worthwhile to go beyond the headlines to some recent history [ , ], and to find there a practical measuring rod—the length of the work week—with which to quickly survey the dimensions of the crisis. it was recognized as early as the s that our increasingly automated factories would allow us to enjoy a comfortable standard of living while permitting a continuous reduction in the length of the work week; and indeed, a u.s. senate subcommittee predicted a st century work week of hours. technology has kept its part of the bargain: the worker of today is many-fold more productive than the worker of ; yet even those few countries which have dared to introduce a work week less than the forty hours established by the u.s. fair labor standards act of find their policies under attack. certainly, the stability of the work week over this period reflects in part the achieving of a certain equilibrium in releasing human psychic energy—though perhaps not in an optimum fashion; and no doubt a tendency towards even longer working hours reflects an intoxication with both the incredible resources which technology has placed at our disposal, and the incredible goals which it has placed within our reach: if i myself were a member of one of the jpl teams driving a rover on the surface of mars, i, too, would be working hour weeks. however—make no mistake—there has also been at work a more systemic and worrisome aspect of that same technology; and here we must return to the historical record. if the automated factories of the industrialists threatened, by their very efficiency, to provide a modest but universal standard of living in combination with equally modest working hours—but also, of course, with a leveling-off in the growth of profits—then the solution for the industrialists was obvious: a plethora of new products, to afford which the worker was willing to spend more time in his machine-like factory, and many of which were themselves machines: dish washers; mixers; toasters; toaster ovens; blenders; waffle makers; electric ice cream makers; hot plates; electric crock pots; electric carving knives; electric rotisseries; pasta makers; vacuum cleaners; ceiling fans; box fans; table fans; attic fans; air conditioners; hair dryers; hair clippers; hair curlers; electric tooth brushes; electric bathroom scales; vaporizers; de-humidifiers; electric clothes lines; lawn mowers; edge trimmers; tillers; chain saws; electric winches; hand drills; orbital sanders; electric buffers; paint sprayers; pressure washers; heat guns; electric soldering guns; electric pencil sharpeners; radios; record players; televisions; self-rotating tv antennas; hi-fis; stereos; model gasoline airplanes; model electric railroads; rock tumblers; aquarium pumps; motorcycles; scooters; go-karts; golf carts; power boats; private aircraft—and so on [ ]. thus was born the mindless american “consumer society”—an effect of the twinned desires of the industrialist to keep his mechanized factory running at full capacity, and of the consumer to keep arts , himself entertained. were it not for their environmental implications, these would seem to be harmless enough motives; but can we not already detect therein a tendency for humankind to become swept up in a culture of relentless, machine-mediated activity [ ]? moreover, can we not also hear a distant echo of homer’s warning that “there is a force in iron which lures men on” [ ]? distant echo, indeed. in anticipation of our reinterpretation of th century art history, we have deliberately confined our examples to the artifacts of that era; and if even then there were indications of mankind falling under the sway of a technological demiurge, is there not even greater reason for concern in the present day, which, with its electronic machines of gigahertz-scale activity, is in some sense as far removed from as is from ancient greece [ ]? if these machines are our servants, why are all of us—chained to our computer screens—working harder and more desperately than ever [ ]? yet there can be no turning back. machine begets machine; and on our near horizon are the android, the drone, artificial intelligence, and nanotechnology—and these with all of the even more dire warnings which come in their wake [ ]. . regarding the virtuous cycle as with our consideration of the crisis of technocentrism, we shall tarry here only as long as necessary; but if we are soon destined to live in a technological oz, it is perhaps well to briefly review what we mean by saying that “art can integrate technology into the landscape of the human psyche”—and our starting point must be to present, as a corrective to the previous section, a more balanced view of technology. the fact of the matter is that no can one predict the outcome of our ever-accelerating rush into its embrace—teilhard de chardin used the analogy of a whirlpool into which we are being swept [ ]; and so i am not suggesting that we relax our vigilance. at the same time (and please forgive me for stating the obvious, but the obvious is what we tend to overlook) it is worth remembering that humankind—homo faber—is a technological species; that the machine, though perhaps now emerging as a threat, can also be a marvelous and inspiring thing, as exemplified by those rovers on the martian surface; and that our virtuous cycle is one of the most definite and characteristic features of western culture, and one in which art plays a critical and complementary role in respect to technology. in regard to that role, the operative term is assimilation: not the mere referencing of science and technology, but their complete transubstantiation—and there is no better example in all of western art history than the famous kritios boy (figure ). we shall have more of substance to say about him later; the goal at present is simply to emphasize—if emphasis is necessary—the startling contrast which that work represents between a vital science and technology, and the even more vital power of art. the connection with greek science, in the twin forms of the accurate anatomical observation and mathematically-tuned proportions at work in the kritios boy, is well understood. perhaps not so well understood is the connection with technology—but that is only because we have come to associate technology with rapid change and progress, and have thus lost sight of the dominant role that stone and stonemasonry have played in human technological history. the olduwan chipped pebble technology arts , reigned supreme for no less than one million years; and stone itself was not displaced as the premier building material until , when gustave eiffel’s iron tower wrested away from the masonry washington monument the title of the world’s tallest man-made structure. indeed, we are dealing with a quite impressive phenomenon in terms of both quality and quantity: in quality, there is a certain magic in the process of quarrying and dressing stone which seems to have attracted humans of all cultures and climes [ ]; in quantity, countless blocks of stone—the great pyramid of cheops alone requiring . million—were being constantly shuttled about the ancient world during the four millennia bracketing the appearance of the kritios boy, and perhaps reminding us of the blocks of data being currently shuttled between the nodes of the internet. yet—this almost a matter of definition—technology always comes up short in respect to the deepest yearnings of the human psyche. stone can be a maddeningly uniform material; and the vast majority of those blocks were destined to become lintels, thresholds, horse troughs. figure . kritios boy, c. bc. marble, cm. acropolis museum, athens. not until a supremely talented artist got hold of one of them do we have the kritios boy—perhaps the first sculpture in western history to truly shatter the limits of what could be imagined as emerging from a block of stone. whenever we fall into despair regarding the continuing relevance of art in a world gone mad with technology, we must gaze upon him again, and remind ourselves not only of the visual perfection which was to serve as a sculptural model for the next two thousand years, but to remind ourselves as well that the same relaxed pose which worked so effectively at the level of arts , aesthetics also served to make the work a spiritual dynamo; for was it not the first sculpture to express that attitude which has become the hallmark of the greek legacy: a sense of man’s confidence regarding his place in the universe? [ ]. hence it is (fast-forward to the early st century) that we welcome two new and related artistic movements—“techno art” and “sci art”, respectively—which show great promise in restoring to the aesthetic realm not only a substantive engagement with science and technology, but also a focus on the visual as opposed to the anecdotal. this the former accomplishes by taking advantage of the incredible power of electronic/computer media (and thus also known as “new media art”), and the latter by realizing the incredible expressive power of the latest scientific imagery. nor are these initiatives unaccompanied by that which is the sine qua non of a revolutionary art—i.e., the brash, new journal—and among which might be mentioned caldaria [ ] and sciart in america [ ]. however—as we are reminded by joseph nechvatal—art cannot follow an agenda [ ]. if the young artists of today set out with the mere goal of “humanizing technology”, they will make a terrible mess of things. they must work, rather, as artists have always worked—in the grip of an aesthetic frenzy; and here another lesson of the kritios boy: notwithstanding its poise and studied articulation, there can be no doubting the eros under whose influence it was created. yet even an economy of the ecstatic must admit the possibility of a missing factor. despite the talent and energy and exuberance being poured into techno art and sci art, and despite the immensely pregnant situation represented by our technocentric society, must we not admit that at present there are few signs of the rumblings which must have accompanied the birth of, say, impressionism—that impression which, though not so far removed from us in time, and under the quite comparable circumstances of europe’s rapid industrialization and urbanization, yet held aloft a universal vision of beauty, and of a coherent human society (figure )? figure . la place de l’europe, by gustave caillebotte, . oil on canvas, × cm. art institute of chicago. in short—with impressionism and cubism and constructivism towering behind us—do not many of us sense that there is something missing at the very core of our own endeavors? must we not also suspect that this missing element might have been in part responsible for the futility of post-modernism and conceptualism? arts , it is the thesis of this essay, and of the art-historical theory which it seeks to summarize, that the visual arts may well be suffering under the effects of an evolutionary misadventure which occurred at a precise point in the th century—and the possibility of which misadventure has not to this day been widely acknowledged, much less addressed. . a new look at the evolution of th century art a brief outline of the history of th century art in accordance with our subject theory must seem to us as strange as it is familiar—but such is the inevitable effect of being aroused from a sleep of years: . . destiny if it was the destiny of greek art to assimilate both early observational science and stonemasonry; if it was likewise the destiny of renaissance art to assimilate the vast new perspectives revealed by contemporary science and exploration; and if impressionism was destined to assimilate the new theories of color vision and the new technology of photography, and also to acknowledge in its subject matter the reality of industrialization and urbanization—then the destiny of th century art was quite clear: to assimilate the machine. that technology had reached a high point with charles lindbergh’s flight across the atlantic in his “spirit of st. louis”, at the conclusion of which lindbergh became overnight the most celebrated individual on the planet, and his quickly-written account of the mission, we—the title referring to lindbergh and the aircraft itself—a best-selling hymn to the partnership between man and machine [ ]. the art world, moreover, was paying attention: for much of the important art work of this period, it is likely to be more difficult to establish the absence, as opposed to the presence, of a machine-influenced aesthetic (figure ). figure . le canigou, by juan gris, . oil on canvas, × cm. albright-knox art gallery, buffalo. . . the pioneers a moment’s reflection will demonstrate that an uncompromising pursuit of an art of the machine must culminate in a machine-based kinetic sculpture; and although mainstream art history has failed to arts , connect the dots, we can note in retrospect that several prominent figures of the early th century experimented with, or envisioned, a mechanical art: brancusi, with his polished bronze pieces rotated by hidden motors [ , ]; tatlin, with his dynamic monument to the third internationale [ ]; gabo, with his kinetic construction, and his planned monument for the institute of physics and mathematics; and duchamp with his bicycle wheel and roto-reliefs [ ]. . . the chosen son although the influence of these pioneers remained largely theoretical, following in their wake was a young sculptor seemingly destined by history to preside over the triumphant marriage of art and the machine—the son and grandson of sculptors, but also a mechanical engineering graduate of the stevens institute of technology; one of those clever americans, therefore, but working at the time in paris, where he could absorb the technocentric influences of constructivism, futurism, and the bauhaus; and who, as a private citizen, had been one of the multitude present at le bourget to welcome his countryman lindbergh [ ]. we should not be surprised, therefore, to recollect that this artist mounted in “the first entirely kinetic exhibition in the history of western art” [ ], and at which exhibition fully half of the pieces were motorized (figure ) [ ]. (einstein himself is later said to have spent forty minutes observing the complete cycle of one such work [ ].) figure . a universe, by alexander calder, . pipe, motor, wire, wood and string, × cm. museum of modern art, new york. what should surprise us—and what has been totally ignored by art history—is the fact that this artist was shortly thereafter to retreat from his encounter with the machine in favor of a suspended, decorative art form which, though quite sophisticated in appearance, was actually of a simple construction that had nothing whatsoever to do with the technology of the early th century; and although this art form was indeed kinetic, its reliance on random wind currents completed the severing of his commitment to the dependable machines which modern humanity had been at such pains to forge—and one of which had carried lindbergh safely across the atlantic. the artist in question is, of course, alexander calder; and the suspended art form of course the mobile [ ]. arts , . . post-mortem a post-mortem must presume that, in their attempts to create a true art of the machine, calder and his fellow pioneers had encountered some sort of barrier, the nature of which is revealed in a key passage from burnham: as rickey has observed, perhaps in years to come calder’s stunning success with the mobile, coupled with a dearth of research by younger artists into the possibilities of mechanical motion, will appear as some curious breach in the plastic evolution of this century. calder’s early overwhelming success with quasi-random motion convinced almost all observers that attempts to produce a machine-driven deterministic art [italics added for emphasis] would be clumsy by comparison [ ]. the machine, in other words, can be a breath-taking thing when seen speeding through the skies—but when made to operate in the confines of an art gallery or museum, its repetitive, sisyphean nature must become evident. we may therefore posit a “spectre of determinism”, and in reference to which the later trajectory of th century kinetic sculpture can be easily decoded: calder, desperate to move forward with his innovations, “invents” the wind-driven mobile as the ideal antidote to the machine’s determinism; george rickey and lin emery, finding themselves with a “latent affection for the machine” [ ], endow their kinetic works with metal bodies and precision bearings, but continue to depend on the liberating effects of wind power [ , ]; and jean tinguely and nicolas schöffer— finding themselves with not only a latent affection for the machine, but also for its beating heart of an engine—discover that the inclusion of seemingly random mechanical elements will keep determinism at bay, and thus allow them to return to the practice of building motorized works of art (figure ) [ , ]. figure . hannibal ii, by jean tinguely, . steel, motor, pulleys, black paint, × × cm. museum tinguely, basel. note, in particular, the dangling chain. more recently, there have been several kinetic sculptors—arthur ganson chief among them—who have gone over to the dark side of the force, i.e., who have embraced the depiction of the sisyphean struggle, but with the result that they have been able to create some marvelously active and exact machines, and, in particular, the humming but very much geared-down motor which will never discover that the shaft which it is attempting to turn is in fact embedded in concrete [ ]. not to this arts , day, however, has a kinetic sculptor established a major reputation by creating works in which the deterministic aspect of the machine is treated in parallel with the dynamic and heroic, i.e., in which the machine is treated on its own terms. there is, moreover, an unfortunate corollary: filled with spectacular machines, the smithsonian’s air and space museum is the world’s second most visited; yet the machine as the “precise and splendid instrument of human aspiration” [ ] remains little known to art. . . aftermath the handful of kinetic sculptors just mentioned—and some not mentioned—have nonetheless kept open a vital artery; but that century which had begun with a determination to re-connect art and engineering had now not only run headlong into the very real challenges of an art of the machine, but had also found itself further disoriented by the attempt to substitute for it calder’s colorful mobile: the whimsical, romantic spirit of calder’s art, with its affinity to the paintings of arp and miro, is quite independent of the spirit of constructivism. and it was constructivist principles that formed the core of modernist abstract sculpture, including kinetic sculpture. [ ]. the larger myth of the mobile is that it represents the triumph of kinetic sculpture, when in reality the mobile was as different as one could imagine from the original vision: passive rather than active; not at all mechanical; and random rather than directed in its motion. indeed, the mobile drew upon none of the incredible technical resources of the twentieth century, the appropriation of which had of course been the principal inspiration of the original kineticists [ ]. the aberration of which we speak directly affected only sculpture; but as an art of physical presence, sculpture of course has a great psychic impact on its sister art of painting. (whence impressionism without rodin? whence cubism without brancusi?) the entire enterprise of art was thus affected—cut off from an authentic engagement with the machine, which should have been its source of vitality, and encouraged by the mobile to substitute style for substance. to be sure, there remained some important experiments in extending the limits of a traditional sculpture and painting, as highlighted by the work of giacometti [ ] and diebenkorn among many others; and for one shining moment in the early s it even seemed as if the art world was on the verge of whole-heartedly embracing the mechanical experiments of tinguely, and the public on the verge of embracing tinguely himself (figure ) as the new embodiment of the artist: we are reminded [by the new museum tinguely catalog] that exhibitions of tinguely’s work typically drew record crowds to the galleries and museums; and we are further reminded that, in the summer of , there were no less than two tinguely-like characters on the screens of american movie theaters [ ]. yet the name of warhol was surfacing at precisely this same time, and it is of course his work that was to mark the end of a modernism to which the term “heroic” could be easily and often applied, and that was also to set the pattern for the rest of the century: all that was necessary was to do arts , something “new” and obviously “modern”, and thus provide fodder for the insatiable th century media—a substantive technique and the continuity of western art be damned [ ]; and all of this the precise rap which can be lodged against the mobile. how tempting it is—and how easy—to connect this calderian misadventure with most of the subsequent woes of modern art; but as the th century has passed into the st, one thing can be said with confidence: if art brings to the consideration of things a certain maturity, a certain intensity, and a certain vision, then it must be clear that art has not occupied its strategic and traditional position in respect to our technocentric society. yes, we have art a-plenty in which science and technology serve as window-dressing [ ], medium, and source of imagery. contemporary art has essentially failed, however, to come to terms with the machine as entity [ ]—and it is as entity that we shall surely re-encounter the machine in the very near future. figure . jean tinguely in his atelier in . martha rocher/museum tinguely, basel. . discussion the above account raises at least three important questions—and these with some clear implications attendant upon the answers to them: the first question, as always, is “who is to blame?”; and here we must exercise compassion: working at the exact midpoint of the unsettling interlude between the first and second world wars—and somehow conscious of the burden which history had placed on his shoulders—it is no wonder that calder attempted to pull a rabbit out of the hat: and though it is absurd, and even grossly unfair, to think that things might have been different had calder succeeded in in creating a true art of the machine, the fact remains that the machine continued as the near exclusive property of the industrialists and the generals—and so began the steady march to world war ii, stalin’s “war of motors”. if artists did not know what to do with the machine, the generals did! [ ]. in terms of misappropriating technology, however, the united states would of course put the european combatants to shame, demonstrating at war’s end the capability of ending civilization itself, and in the process killing tens of thousands of japanese civilians; all of which i mention only by way of emphasizing two related points: first, that calder’s evolutionary misadventure takes on added arts , significance in being to some extent the result of historical forces as opposed to chance occurrence; and second, that the subject of an art of the machine was not—at least at that time—one of rarified aesthetics. but perhaps it has become so; i.e., perhaps we have entered an age in which the art object has finally and truly become passé. under the heading of “the machine”, i have in this essay conflated the mechanical with the electronic; and although the computer is indeed a machine, it has become so sophisticated as to have helped make possible a virtual universe—and which universe, it might be argued, has become the preferred venue for the creative spirit. thus our second question: does there remain any value in a physical art of the machine? foolish, indeed, the occasional writer on art who would attempt to present a definitive answer to this question, with its far larger implications. let him, rather, present a series of observations which demonstrate that the field of the mechanical has enjoyed a symbiotic relationship with the electrical and electronic, and thus continues to evolve in spectacular fashion—and to surround us everywhere: • the silent, compact electric motor—which has been, and will continue to be, the motive element of choice for a progressive kinetic sculpture—is only now about to enter its own golden age, and this by virtue of replacing the internal combustion engine in hundreds of millions of automobiles. • were your own computer under threat, it is the electro-mechanical disc drive which you would hope to rescue—a device, moreover, powered by that same electric motor, and as much responsible for the explosive growth of the internet as is the purely electronic microprocessor. • another electro-mechanical device—the android—is without doubt this century’s equivalent of the once unimaginable flying machine: it can walk, and talk—and if given the key to one’s apartment, let itself in—and it is just around the corner. we have here, in short, an arena in which art must not only retain the presence captured for it by the exertions of the pioneer kineticists—it is an arena above which must soar the engine of a fully-evolved kinetic sculpture (figure ). figure . wave, by lin emery, . polished hollow aluminum forms mounted on precision, all-weather steel bearings, × cm. new orleans museum of art. arts , hence our third, and final, question—and one which might be equated with lenin’s “what is to be done?”: no matter how much we might wish to create an art of the machine, are we not facing the “spectre of determinism”, i.e., are we not dealing with a tautology—the ideal machine as relentless and unvarying as possible, and the ideal work of art expressive of a sense of freedom and possibility? to claim that it is therefore impossible to create a true art of the machine is, of course, precisely the type of challenge upon which art depends for its existence; and is this not, after all, the point of all art—to animate the lifeless, to infuse substance with spirit, to “forge out of the sluggish matter of the earth a new soaring, impalpable imperishable being” [ ]? even more to the point, have we not here stumbled upon the very subject and question which have become the universal focus of modern inquiry: the subject of emergent phenomenon—and the question of how consciousness has emerged from deterministic matter [ ]? we have also strayed, however, into the often fruitless realm of philosophy. as artists, let us rather continue our inquiry within the realm of the concrete—and what could be more concrete than the marble kritios boy? it may be supposed that, having established this greek masterpiece as an exemplar of the virtuous cycle at work, we return to it now only to address our final question—and this will indeed come to pass in the few words remaining to us. as i have attempted to indicate throughout this essay, however, art cannot be reduced to a formula. if consciousness is the great enigma of the universe, then art is the great enigma of consciousness; and although we presume to have already placed the kritios boy under consideration, the fact of the matter is that this compact figure—re-discovered on the acropolis in , beneath the rubble of the persian wars—has for western cultural history no less revolutionary significance than henri becquerel’s small mass of uranium salts has had for the history of western science, and thus defies adequate assessment. we have already alluded, for example, to the stringent circumstances of its genesis; but could we not go so far as to say that a block of fine-grained marble is no less deterministic, in its own way, than an ingot of steel; and as evidence of this refractory quality, could we not cite the fact that previous generations of greek sculptors, working to the egyptian model, had been able to wrest from such blocks nothing more than their rigid and lifeless kouroi? yet before us stands the kritios boy—and who, in merely standing, has brought into being a universe of possibilities for western humanity. to this, also, we have already alluded; but again, there is always more to be said: his contrapposto position a model throughout not only the classic and neo-classic periods, but also for rodin’s thoroughly modern age of bronze of ; the emphasis placed by a modern source on that same contrapposto pose as the first exposition of the human form as system—and thus the possibility of seeing the kritios boy in surprisingly contemporary terms [ ]; and finally this summary statement by kenneth clark in which is established no less than an ethical dimension: in comparison to the soft figures of indian art, greek bodies have structure, depicting a humanity capable of endurance, effort, accomplishment, sacrifice [ ]. an astounding legacy, and one which certainly banishes the spectre of an impregnable determinism; but there is also a quite unexpected lesson for those who would take up the challenge of an art of the arts , machine: the phenomenon of the kritios boy utterly transcends what might be considered even the most expansive bounds of an artistic practice. yes, great art is characterized by the longevity of its influence; and yes, the author of this work was no doubt aware that it represented some daring innovations; that same author, however, could have had no inkling whatsoever of the degree to which those innovations would continue to resonate for two millennia. we are dealing here, in other words, with a phenomenon on the order of magellan’s miraculous circumnavigation of the globe, or pasteur’s miraculous cure of the viral disease rabies; i.e., we are dealing here with the mysterious creative power of the universe itself: another parable put he forth unto them, saying, the kingdom of heaven is like to a grain of mustard seed, which a man took and sowed in his field; which indeed is the least of all seeds; but when it is grown, it is the greatest among herbs, and becometh a tree, so that the birds of the air come and lodge in the branches thereof [ ]. . conclusions therefore think not, young sculptor, that you are going to waltz into your studio and create the definitive work of mechanical art, and so help launch the new “poetic-mythic-scientific renaissance” [ ]. retain, nonetheless, your youthful passion. know also that the wind is at your back, and that society is massing its forces behind you, in the forms of a computing infrastructure which has for the first time made it possible to share videos and animations of your designs with those of like mind [ ]; a technological infrastructure which caters increasingly to the artist [ ]; and a commercial infrastructure which looks increasingly to the arts for direction. know this, as well: the cosmos is said to be nothing more than a vast mechanism, and therefore indifferent to your existence—yet it has endowed a much suppressed people with an unsurpassed musical genius, and has placed in their throats this vision of a quite beautiful and personal machine: swing low, sweet chariot, comin’ for to carry me home! acknowledgments the author would like to acknowledge taney roniger and her editorial dedication in caldaria to the subject of kinetic sculpture. conflicts of interest the author declares no conflict of interest. references and notes . wikipedia: trundholm sun chariot. available online: http://en.wikipedia.org/wiki/trundholm_sun_chariot (accessed july ). arts , . burrough hill archaeologists find iron age chariot remains. bbc, october . available online: http://www.bbc.com/news/uk-england-leicestershire- (accessed on november ). note that this was apparently a ceremonial, artistically-enhanced chariot. . willis, w. swing low, sweet chariot. composed prior to . available online as performed by the dutch vocal group call: https://www.youtube.com/watch?v=wj dswxnzqy (accessed on august ). . smith, g.w. lin emery by philip palmedo: a review by g. w. smith. caldaria, september . available online: http://www.caldaria.org/ / /lin-emery-by-philip-palmedo-review- by.html (accessed on july ). see, in particular, the last twelve paragraphs. . palmedo, p. chapter vii, the historical context and beyond. in lin emery, hudson hills press: new york, ny, usa, . . smith, g.w.. aesthetic wilderness: a brief personal history of the meeting between art and the machine, - . birds-of-the-air press: new orleans, la, usa, . . burnham, j. beyond modern sculpture: the effects of science and technology on the sculpture of this century. george braziller: new york, ny, usa, . my epigraph is taken from page of this book. . see http://www.space-machines.com/ for the author's portfolio; http://www.space- machines.com/smith_ _cv.pdf for his cv; and http://artent.net/ / / /art-and-artificial- intelligence-by-g-w-smith/ for an autobiographical sketch (all accessed on may ). . there are affirmative precedents for the question of whether or not such material belongs in a scholarly journal of the arts; see, for example, this recent, idiosyncratic, and in some ways quite aggressive essay by karen schiff in art journal: schiff, k. l. connecting the dots/hijacking typography. art journal, spring, . available online: http://www.tandfonline.com/doi/pdf/ . / . . (accessed on may ). it could be argued, of course, that a warning of the polemical nature of ms. schiff's contribution is implicit in its not having been presented in academic format; but the author feels that the declarations in the last paragraph of his introduction decisively accomplish this same goal. this is, in short, an essay with footnotes. . grevatt, m. workers need -hour week more than ever. workers world. available online: http://www.workers.org/ /us/flint- / (accessed on april ). . hunnicutt, b.k. the end of shorter hours. labor history, , , - . available online: http://www.jhemingway.net/ _mats/ _readings/hunnicutt_end_shorter_hours.pdf (accessed on may ). . the middle class family in which i grew up during the s and s possessed, at one time or another, at least one example of most of these devices, including the private aircraft – my father owned a one-third interest in an aeronca chief. . "it has dawned on many thoughtful persons today that while we started out to make mass production a means for a better human life, the means have become transformed into ends. as emerson put it, 'things are in the saddle and ride mankind.'" erich fromm, from his foreword to looking backward by bellamy, e. new american library: new york, ny, usa. ; p. . . homer. the odyssey; rieu, e.v., translators; penguin books: london, uk, ; p. . arts , . humanity is characterized by its capacity to deal with information in abstract form; and although the invention of the printing press automated the distribution of such information, the vastly greater undertaking of its collection and indexing remained a strictly manual task prior to the circa introduction of the computer. regarding the computer itself, a later section of this essay will consider it in more detail as a type of machine – the point at the moment being that the computer and its electronic brethren can be regarded as a continuation and intensification of twentieth century machine culture. . kolbert, e. no time. the new yorker, may , . available online: http://www.newyorker.com/arts/critics/books/ / / / crbo_books_kolbert (accessed on may ). . joy, b. why the future doesn't need us. wired, april . available online: http://archive.wired.com/wired/archive/ . /joy.html (accessed on july ). . teilhard de chardin, p. the future of man; norman, d., translators; harper & row: new york, ny, usa, ; p. . . as is well known, the yap islanders at one time made -mile round-trip expeditions by sail to palau to quarry their stone "money discs". . smith ( ), p. . . caldaria. available online: http://www.caldaria.org/ (accessed on july ). . sciart in america. available online: http://www.sciartinamerica.com/ (accessed on july ). . nechvatal, j. aesthetic states of frenzy. caldaria, june . available online: http://www.caldaria.org/ / /aesthetic-states-of-frenzy-by-joseph.html (accessed on july ). . lindbergh, c. we. putnam: new york, ny, usa, . . "brancusi introduced one more important innovation to twentieth-century sculpture – mechanical movement. not all of his bases are movable but for some he has constructed turntables which slowly rotate the sculpture before the observers' eyes." ritchie, a.c. sculpture of the twentieth century. the museum of modern art: new york, ny, usa, ; p. . . "a peep into brancusi's studio, with its extraordinary collection of tools and instruments, reveals certain points of contact between even work of so timeless a quality as his and the field of modern inventions. brancusi's preference for showing his sculpture on revolving turn-tables, and his claim that films are the only adequate means of illustrating it, provide pertinent cases in point." giedion-welcker, c. contemporary sculpture: an evolution in volume and space. george wittenborn: new york, ny, usa, , p. . . tatlin, v. monument to the third international. available online: https://www.youtube.com/watch?v=dlwdejiv ti (accessed on august ). . duchamp, m. rotorelief. available online: https://www.youtube.com/watch?v=zx -sdvvdiw (accessed on august ). . simon, j.; leal, b.; bajac, q.; cohen-solal, a.; karmel, p.; mancusi-ungaro, c.; nagy, e.; petroski, h.; pierre, a.; rower, a.s.c. alexander calder: the paris years, - . yale university press: new haven, cn, usa, ; p. . . ibid. p. . arts , . calder, a. a universe. available online: https://www.youtube.com/watch?v=srdbum w kk (accessed on august ). . lemon, r. the soaring art of alexander calder. the saturday evening post, feb. , , p. . available online: http://artmobiles.blogspot.com/ / /alexander-calder-art-mobiles-in- .html (accessed on july ). . a quite interesting article in caldaria suggests that calder's mobile anticipates fractal geometry, and thus the more open-ended outlook of modern science. if so, it was a "bridge too far". sun, w. calder's fractals. caldaria, march . available online: http://www.caldaria.org/ / /calder-fractals-by-werner-sun.html (accessed on july ). . burnham ( ), p. . . smith ( ), p. . . rickey, g. untitled. available online: https://www.youtube.com/watch?v=ae er nc_oy (accessed on august ). . emery, l. wave. available online: https://www.youtube.com/watch?v=ride n jj (accessed on august ). . tinguely, j. available online: http://vimeo.com/ (accessed on august ). . schöffer, n. chronos . available online: https://www.youtube.com/watch?v=jh zmrupixg (accessed on august ). . ganson, a. machine with concrete. available online: https://www.youtube.com/watch?v= q- bh-tvxeg (accessed on july ). . smith ( ), p. . . palmedo ( ), p. . . smith ( ), p. . . giacometti, of course, created his own tribute to the chariot. salmon, f. the not so special hundred-million-dollar giacometti. the new yorker, november, . available online: http://www.newyorker.com/business/currency/the-hundred-million-dollar-giacometti (accessed on november ). . smith, g.w. battlestar galactica. caldaria, june . available online: http://www.caldaria.org/ / /battlestar-galactica-by-g-w-smith.html (accessed on july ). . "the increasing diversity, inventiveness, and popularity of kinetic sculpture in the mid- s came face-to-face with upheavals in the concept of what constituted art. post-vietnam disillusionment crushed the art object under the heavy antiart weight of conceptual postmodernism." palmedo ( ), p. . . saltz, j. clusterfuck esthetics. the village voice, nov. , . available online: http://www.villagevoice.com/ - - /art/clusterfuck-aesthetics/ (accessed on july ). . "the sole purpose of the arts is neither description nor imitation, but the creation of unknown beings from elements which are always present but not apparent." raymond duchamp-villon, as quoted in: hamilton, g.h.; agee, w. raymond duchamp-villon. walker & co.: new york, ny, usa, ; p. . as to my own contention that modern art has not addressed the machine as entity, the industrial paintings of charles sheeler might be proposed as a counterexample; but rarely, if ever, does sheeler present a complete, functioning machine – his interest, rather, is in arts , the machine as a formal compositional element. for an example of art in which a non-human subject is treated as an agent of some gravity, one might turn instead to the nineteenth century animal sculpture of antoine-louis bayre and emmanuel frémiet. . smith ( ), p. . . ibid. p. . . nagel, t. mind and cosmos: why the materialist neo-darwinian conception of nature is almost certainly false. oxford university press: oxford, uk, . . wikipedia: kritios boy. available online: http://en.wikipedia.org/wiki/kritios_boy (accessed on july ). . clark, k. the nude: a study in ideal form. pantheon: new york, ny, usa, . . the gospel of matthew (king james version), chapter , verses - . . nechvatal, j.; perret, c. our digital noology: catherine perret in conversation with joseph nechvatal. scan journal of media arts culture. available online: https://web.archive.org/web/ /http://scan.net.au/scan/magazine/display.php?journ al_id= (accessed on september ). . as of july , a youtube search for "kinetic sculpture" yielded , results. cited following are a few examples of the most substantial such work: lilly, anne. flower theorem. http://vimeo.com/ (accessed on august ); schülke, björn. space observer. http://www.youtube.com/watch?v= idrysiuzb (accessed on august ); townley, jennifer. schaak. http://www.youtube.com/watch?v=fzfbapfvlii (accessed on august ); woodward, laura. shallows. http://vimeo.com/ (accessed on august ). . one example is the italian electronics manufacturer arduino. arduino. available online: http://www.arduino.cc/ (accessed on may ). © by the authors; licensee mdpi, basel, switzerland. this article is an open access article distributed under the terms and conditions of the creative commons attribution license (http://creativecommons.org/licenses/by/ . /). microsoft word - cover_art_style_final_ .docx art style | art & culture international magazine ______ ______ montage and assemblage: an aesthetic shock dominique berthet abstract the notions of montage and assemblage applied to the field of art can appropriately be applied to collage. at the beginning of the twentieth century, cubism, italian and russian futurism, dadaism, and surrealism, each with distinct aesthetic objectives, practiced collage; this was in order, for example, to deconstruct object and space or for political and ideological purposes, with the aim of impacting social reality. the practice of collage 'exploded' the classical aesthetic based on mimesis. in an unpredictable diversity of practices, collage allows for the creation of gaps, giving access to a multitude of possibilities and opening on unsuspected artistic horizons. collages, montages, and assemblages have been so widely represented in the artistic practices of the twentieth century that they appear inseparable from artistic modernity. however, these practices are not limited to western art - they can also be observed in other cultures, with different objectives. as contemporary art can be seen as an extension and deepening of modern art and as its realization , the practices of the twentieth century were prolonged into, and developed at, the beginning of the twenty-first century, even as other concepts were introduced and new practices emerged. christ dominique berthet, “montage and assemblage: an aesthetic shock,” art style, art & culture international magazine, no. (december , ): - , doi: http://doi.org/ . /zenodo. art style | art & culture international magazine ______ ______ montage and cinema excerpts from glumov's diary is eisenstein's first film, . screenshot by christiane wagner. creative commons attribution license (reuse allowed). montage (editing), in general, is associated with cinema. anne souriau indicates that in cinema, montage is, “a material operation [allowing one] to adjust together strips made separately, to form the final band [...]. montage is essential to the cinematographic aesthetic, since it is this that regulates the sequences, the effects determined by the passage from one scene to another, the rhythms, and the correspondences between image and sound.” montage is, therefore, the organizing of different shots to form sequences. dominique chateau, in 'contribution à l'histoire du concept de montage' (contribution to the history of the concept of montage) tried to show how montage (editing) has transitioned from concept to concept; in the writings of young soviet filmmakers, who themselves produced a theory of cinema, montage (editing) becomes one of the essential concepts of film theory. the book reminds us that it is lev kuleshov to whom we owe, from around , revival of the french word montage; this he appropriates and transforms into a concept (the concept of film montage), that is to say, that it loads of rich theoretical content. the montage praised by chateau is related to cinema both in technique and concept. it is defined by kuleshov in , in his article 'the art of photography,' as the thing that characterizes cinema . in , kuleshov presented montage in the following way: "the essence of cinematographic art [...] rests entirely on the composition. to make a film, the director must combine different filmed, unordered, and unrelated fragments into a whole and juxtapose the different moments in the most advantageous, the most coherent and the best rhythmic order [...]" . montage thus comes from the collage, according to a certain order, of filmed fragments. the sequence of these fragments contributes to producing art style | art & culture international magazine ______ ______ an artistic impression. what is interesting to observe is that behind this reflection on montage and assemblage of fragments, there is a political approach, a militant slogan. for kuleshov, the function of cinema was to “break through the gaps." there is in montage court (short editing) a search for narrative efficiency. with montage, everything becomes possible. dominique chateau ( ) explains that by the method of montage, we can create a semblance of heterogeneous elements of reality; the efficiency of this mode of composing is the fact that the spectator "sees what the montage suggests." montage is thus strategic. fragments are not elements derived from a kind of database, but must be created from the perspective of their assemblage. this is equivalent to saying: "the filming of fragments anticipates the whole [...]." cinema is not reality but produces the illusion of reality. it creates a simulation of reality. effective montage gives the impression that what in reality is feasible and achievable is improbable and impracticable: “what characterizes cinema is not the restitution of reality, but its production," states dominique chateau ( ). the montage, as presented by kuleshov, makes it possible to assemble “parallel and simultaneous actions" and to interweave them, to create what exists nowhere else. in the words of dominique chateau, kuleshov, through montage, is a “creator of the world". it should be noted that the contradictory debates between kuleshov, pudovkin, vertov, and eisenstein on the subject of montage must be seen in the context in which they were born - that is, the soviet union of - . montage assumes the selection of fragments, their combination (approximation), and the construction of a set. it makes it possible to join what is disjointed, to build a whole from disparate fragments. thus, it supposes the discontinuity of elements and aims at an internal continuity. montage reduces gaps and produces rhythms. it breaks with the mere recording of raw reality. excerpts from glumov's diary is eisenstein's first film, . screenshot by christiane wagner. creative commons attribution license (reuse allowed). art style | art & culture international magazine ______ ______ excerpts from glumov's diary is eisenstein's first film, . screenshot by christiane wagner. creative commons attribution license (reuse allowed). dziga vertov, an author of a documentary, and an experimental, militant form of cinema sees the camera as a "cine-eye”(kino-eye) - more sophisticated than the human eye, that requires emancipation from the habit of servile reproduction: "now we release the camera and run it in the opposite direction, away from the copy," he writes. it is for him to create a "new perception of the world. this is why i am deciphering, in a new way, a world that is unknown to you." for vertov, cinema was an instrument of knowledge. after his report and documentary, he embarked on creating a poetic form of cinema, moving from the idea of randomness through a montage of film pieces into control of the image sequence, developing a theory of intervals in an analogy with music. the intervals are presented as "passages from one movement to another" that "lead to action as kinetic outcome;" in addition to movement, the intervals are also concerned with time and space, as well as "all kinds of visual parameters." dominique chateau indicates that the notion of the interval "is at the same time gap, correlation, and transition, that is to say, work on images which, based on their fragmentation, seeks to establish between them semantic-visual links inscribed in the overall dynamics of the work." in what vertov calls the "battle of montage," this is about playing on the gap between two images to create a link between them. for him, it is the binding of fragments. montage is an addition, an aggregation of fragments in response to particular modalities and objectives. the various theoretical differences between soviet filmmakers all indicate the aim of reception, on the part of the spectator, of a particular purpose and art style | art & culture international magazine ______ ______ effectiveness in the goal. eisenstein, speaking of the "montage of attractions," declared: "you must not create a work; you must mount it with ready-made pieces, like a machine. montage is a beautiful word: it means putting together pieces that are there ready" . however, this montage of pieces must be made according to a certain method and a certain objective, according to the filmmakers. thus, we find ourselves at the heart of the debate on the form- content relationship. montage, in general, is the active appropriation of fragments, in combinations producing dynamic oppositions, stimulating contrasts, and fertile disjunctions. sometimes unexpected links are created between heterogeneous elements that were not intended to meet. contacts are formed, and new relationships occur. montage makes it possible to organize chaos, to invent new relationships, to shape "augmented realities" - to increase. from a technical point of view, the linking of two or more elements, either of the same nature or alien to each other, produces effects not present in the original items. eisenstein said of montage that it is an "idea born of the clash between two independent fragments." in this space of shocks and tensions, filmmakers can create anachronistic links. montage allows approximations, joinings, connections. this process opens on a multiplicity of possibilities and an infinity of results. excerpts from vertov's three songs of lenin ( ). screenshot by christiane wagner. public domain. art style | art & culture international magazine ______ ______ excerpt from vertov's three songs of lenin ( ). screenshot by christiane wagner. public domain. art style | art & culture international magazine ______ ______ montage: an aesthetic and political challenge if montage is in general associated with cinema, it naturally concerns other fields such as painting, collage, photomontage, installation, happenings, theater, dance, poetry, literature, music, and so on. in the past, the question of montage has given rise to quarrels between authors in the marxist sphere, such as georg lukács, bertolt brecht, walter benjamin, ernst bloch, theodor w. adorno, and herbert marcuse. in the twentieth century, jean-marc lachaud, in ‘collages, montages, assemblages’ , analyzed these divergent conceptions. lukács, for example, considers montage as 'foreign' fragments, "torn from their context," assembled together. in his opinion, it is a technical subterfuge inadequate to the task of showing objective reality.” avant-garde works are, in his eyes, incapable of representing real social relations. his taste for tradition and deep sense of the futility of the artistic avant-garde show his inability to grasp the importance and value of new technology in undermining the foundations of capitalist society. he even considers these novelties as an expression of literary and artistic decadence. while lukács condemns innovative works as being antirealist, brecht, in contrast, defends innovative practices because they "favor the transformations of the social function of art that the triumphant revolution will concretize," writes jean- marc lachaud. brecht's position on realism is radically different from that of lukács. the dramaturge thinks that realism must be "cleaned up before use, as old notions, many of which have already been used and abused for too many and diverse purposes." brecht favored a theatrical novelty, and new form, considering the installation a challenge to the idea of a harmonious and closed form. the old forms are no longer of interest because they are no longer effective. we must innovate and experiment with new forms. adorno, in 'aesthetic theory', and especially in the pages concerning "the crisis of the senses," also deals with the issue of montage. first, it is worth recalling an advanced idea at the beginning of the book, that "if art is opposed to empirical reality by the time of the art form - and the mediation of form and content cannot be understood without their distinction - this mediation must be [...] sought in the fact that the aesthetic form is sedimented content." this idea is fundamental, notably in being opposed to other marxist positions, in which the form must be at the service of the idea, the (revolutionary) content. here, in contrast, the process of formatting asserts itself as an opposition to established reality, and art style | art & culture international magazine ______ ______ art, by its very existence, is critical vis-à-vis existing reality, manifesting itself as a resistance to, and negation of, this reality. it is the manifestation of freedom. adorno saw in less realistic works (less realistic socialist works), or those less accessible and less explicit, the mark of the most effective critical power. its enigmatic aspect makes the work irreducible to a closed interpretation; as such, it resists what tries to define it, or to recover it for ideologically integration. modernist works show the "signs of dislocation." "works of art that negate meaning are also necessarily dislocated in their unity," writes adorno. on the function of montage, he goes on: "… just as it disavows unity by the apparent disparity of the parties, [it] contributes as a formal principle to its restoration." montage is thereby both the disavowal of the unit and the reconstruction of it. thus, adorno saw the artist of modernity grappling with a kind of oscillation, between a desire to put in crisis unity and sense, while working for their reconstruction. for the author, even that which stands against the cohesion of meaning nevertheless produces meaning. adorno distinguished "authentic art, which takes care of the crisis of meaning," and the art of "resignation," in which the negation of meaning "adapts to contingencies." the author goes on to say: "the principle of montage, as an action directed against organic unity obtained surreptitiously, was based on shock." when the shock dulls or disappears, the interest of the montage is neutralized. adorno thinks of the work of art as a process, as a phenomenon in the making, "essentially concerning the parties at all." for him, a work of art is neither "stable" nor "definitive" but "in motion." the parties are not; they are neither inert or dynamic. they are "centers of forces tending to totality." montage, modernity, assemblage anne souriau defines montage as: “the action of assemblage, or the way in which are assembled, to form a whole, parts first made up separately. [...] in general, and in all fields, a montage is an aesthetic fact, since one is an editor of an overall form and influences the aspects that the different parts adopt to each other's elements." montage, therefore, consists of putting together heterogeneous elements of various origins, to obtain a particular result, employing adapted techniques. art style | art & culture international magazine ______ ______ moreover, as already discussed, montage is based on the shock of fragments, themselves linked to artistic modernity, which is the manifestation. adorno stated that, "according to its microstructure, all new art should be called montage" insofar as it uses the montage process, jean-paul olive writes: "any modern work can only be conceived if in response to the shock phenomena characteristic of the modern era. to the exploded experience of modernity [...], to this experience of flying, corresponds an art that breaks, and can no longer - and no doubt no longer wants to - resolve to a unified appearance." assemblage, for its part, supposes a non-homogeneity of the work, an interruption of the spatial continuity. it involves the juxtaposition, the superposition, the simultaneity of various structures and materials. it also affirms a break with the illusionist conception of art. it disrupts traditional artistic codes, ignores conventions, and produces displacements, disturbances, the unpredictable, the unexpected, the strange. it is in total rupture with the partitioning intrinsic to classical aesthetics. it is a work of construction that passes through choices and which refers to the intention of the artist who relates heterogeneous elements. it is about creating relationships and encounters, producing echoes, shocks, tensions. the artwork is constructed as and when dialogue is established between the fragments. through assemblage, the artist explores areas of coexistence and encounter, organizing the heteroclite, arranging the varied, bringing together fragments to produce connections. in short, it is part of a poetics of encounter and relationship. the artist is thus reshaping the boundaries of art by creating new geographies. in these fortuitous, unexpected encounters, in these outbursts of unexpectedness, in these impulses that invent a whole, the gaps are reduced and ever new universes arise. assemblage allows for displacements, permanent changes, combinations ever fruitful for the artist and unpredictable for the spectator. the assemblage of the various gives a place to open works, which also belong to an aesthetic of meeting. through montage and assemblage, art breaks with the obligation to represent, to represent reality. in 'still life with chair caning' ( ), pablo picasso revealed that the artist no longer represents the real. however, artists present art through a collage of oilcloth pieces in painting compositions and a piece of rope forming a kind of frame. the cubist collages, dadaist and surrealist photomontages, assemblies (combined paintings) of rauschenberg, tinguely, and many others, offer diversions, deviations. these gaps and ruptures open up new horizons to new possibilities, new realities. art style | art & culture international magazine ______ ______ the fragment it is naturally impossible to speak of montage and assemblage without evoking the mounted and assembled elements that are the fragments. montage and assemblage use various fragments, pieces of the world, of reality, that the artist then combines, associates, and organizes to evoke surprise, astonishment, the unknown. the purpose of these processes is to bring out the unusual, the unexpected. these combined fragments are, in the eyes of the defenders of classical aesthetics, a symbol of impurity, regrettable intrusion, discrepancy, and dislocation; they are therefore the antithesis of harmony, unity, coherence, and everything they defend. the assembly of fragments is thus the mark of refusal and emancipation vis-à-vis representation, déjà-vu, of the established order. the fragment appeals to a particular thought - that of the diverse, the exploded, of discontinuity, loss, tension. it announces the irruption of the unexpected, of uncertainty, of instability. it is a rebellion against totality, harmony, unity. the fragment is the result of dislocation, bursting, fracture, tearing, breaking, cutting. it symbolizes violence. it is a break with continuity, the disappearance of everything, the defection of coherence and annihilation of a whole. the separation of the fragment leads to the destruction of the totality. it is indicative of a crisis of unity. the fragment also suggests the absence - what is missing. it is what is missing that gives rise to the sense of no more unity; hence the feeling of incompleteness. it refers to incompleteness, but the fragment is fundamentally ambiguous. in its incompleteness, it can be self-sufficient and establish itself as a homogeneous whole. this is how the german romantics of the school of jena envisioned seeing the fragment as a totality. as alain brunn says, the fragment “is both unfinished completeness and finished incompleteness." the fragment is not inert or frozen. in work, articulated with other fragments, it imposes itself by its dynamism. it is also the germ of work to come. it has its energy detached. it throbs with internal dynamism. besides, fragments interact together in their implementation and create a dynamic in their relationship with other elements. in the space of the work, the fragments are put in tension, create echoes, friction, articulations, dialogues. the gathering and organization of fragments that pass through the work of montage and assemblage allow for constitution of a new whole. the fragment no longer appears as a reminder of a lost unit, as the debris of the world, as a residue of the real, but as part of a new whole. the association of heterogeneous fragments contributes to the development of a homogeneous whole. fragments appear as moments before possible encounters. in the context art style | art & culture international magazine ______ ______ of the work, they are at once lonely and in solidarity. assembled, they have a strength, a form, producing meaning. brutal connections, tensions, telescoping between fragments, surprise the viewer. these assemblages can confuse, disturb, disrupt, destabilize. the assemblage produces transgressions. montage and assemblage are at the origin of an art form which reveals other realities, ferments of possible. jean-marc lachaud brings together these practices of collagists, “montagists,” and “assemblagists” under the term “aesthetics of non- coherence”, having “to do with a concrete utopia, thus with the prospect of emancipation (individual and collective)." this aesthetics of non-coherence, which is also an aesthetic of the encounter, is part of what adorno called a “frightening process” of the arts. in july , he began his speech at the berlin academy of arts with the following words: “in the most recent evolution, the boundaries between artistic genres flow into each other, or more precisely: their lines of demarcation are frightening." the process that adorno was already observing in cubists was seen to develop throughout the twentieth century. in the twenty-first century, contemporary art has been characterized by a limitless hybridization of artistic practices, with extra- artistic domains as varied and unusual as genetics, robotics, and computer science, offering works that question, sometimes fascinate or discourage, but do not leave indifferent. author biography dominique berthet is a university professor, he teaches aesthetics and art criticism at the university of the french antilles (ua). founder and head of cereap (center for studies and research in aesthetic and plastic arts). founder and director of the magazine recherches en esthétique (research in aesthetics). member of crillash (center for interdisciplinary research in literature, languages, arts, and humanities, ea ). associate researcher at acte institute (université paris panthéon-sorbonne). art critic, member of aica-france (international association of art critics). exhibition curator. his research focuses on contemporary and comparative aesthetics, contemporary art, caribbean art, and surrealism. he has directed more than volumes, published more than articles and ten books among which: hélénon, “lieux de peinture” (monograph), (preface Édouard glissant), hc Éditions, ; andré breton, l’éloge de la rencontre. antilles, amérique, océanie, hc Éditions, ; ernest breleur (monograph), hc Éditions, ; pour une critique d’art engagée, l’harmattan, . art style | art & culture international magazine ______ ______ notes . catherine millet in french: “l’art […] est devenu contemporain quand il a commencé, d’une certaine façon à réaliser le projet moderne au sens où l’entendait baudelaire” and “j’ai suggéré d’entrée que l’art contemporain était une réalisation de la modernité. plus exactement, il réalise le programme de la modernité”, in “l’art contemporain. histoire et géographie” (paris, flammarion, coll. “champs arts” ), and . . anne souriau (dir.), in Étienne souriau, “vocabulaire d’esthétique” (paris, puf, coll. quadrige, ), . . dominique chateau, contribution à l’histoire du concept de montage. kouléchov, poudovkine, vertov et eisenstein (paris, l’harmattan, coll. champs visuels, ). . in french: “le mot “montage” a été utilisé ici depuis les premiers jours de l’existence du cinéma russe. on ne sait pas qui l’a prononcé le premier – évidemment un des opérateurs français qui vinrent en russie. mais c’est moi qui ai défini le “montage” comme une propriété spécifique du cinéma dans mes articles et dans le livre l’art du cinema”, interview by lev kuleshov with “film culture au printemps , in chateau, contribution à l’histoire du concept de montage, . . kuleshov, in french: “l’essence de l’art cinématographique […] repose entièrement sur la composition. pour faire un film, le réalisateur doit combiner différents fragments filmés, non ordonnés et non reliés en un tout, et juxtaposer les différents moments dans l’ordre le plus avantageux, le plus cohérent et le mieux rythmé […]”, in chateau, contribution à l’histoire du concept de montage, . . kuleshov, in french: “percer une brèche dans les esprits”, in chateau, contribution à l’histoire du concept de montage, . . chateau, contribution à l’histoire du concept de montage, . . chateau, contribution à l’histoire du concept de montage, . . chateau, contribution à l’histoire du concept de montage, . . kuleshov in chateau, contribution à l’histoire du concept de montage, . . chateau, contribution à l’histoire du concept de montage, . . dziga vertov in chateau, contribution à l’histoire du concept de montage, . . chateau, contribution à l’histoire du concept de montage, . . vertov in chateau, contribution à l’histoire du concept de montage, . . vertov in chateau, contribution à l’histoire du concept de montage, . . chateau, contribution à l’histoire du concept de montage, . . in french “l’intervalle, c’est l’utilisation de l’écart sur le plan du référent entre deux images pour constituer un lien sémantico-visuel entre elles sur la base d’un ou de plusieurs paramètres visuels et en vue de participer à la dynamique du discours qu’ils actualisent ponctuellement”, chateau, contribution à l’histoire du concept de montage, - . . sergueï mikhaïlovitch eisenstein in chateau, contribution à l’histoire du concept de montage, . . eisenstein in aumont, “montage eisenstein” (paris, images modernes, ), . . jacques aumont and alain bergala, esthétique du film (paris, nathan, coll. arts université, ), . . jean-marc lachaud, collages, montages, assemblages au xxe siècle, vol. l’art du choc ; vol. le fragment à l’œuvre (paris, l’harmattan, ). . lukács in lachaud, “collages, montages, assemblages”, vol. , . . lachaud, “collages, montages, assemblages”, vol. , . . bertolt brecht, “popularité et réalisme.” in Écrits sur la littérature et l’art , trans. a. gisselbrecht (paris, l’arche, ), . . theodor w. adorno, théorie esthétique, trans. marc jimenez (paris, klincksieck, ), . . adorno, théorie esthétique, . . in french: “[…] il est impossible de penser une œuvre d’art qui, tout en intégrant en soi l’hétérogène et en se tournant contre la cohésion propre de son sens, ne produise pas malgré tout du sens.” theodor w. adorno, l’art et les arts, trans. jean lauxerois (paris, desclée de brouwer, coll. arts et esthétique, ), . . adorno, théorie esthétique, . . adorno, théorie esthétique, . . adorno, théorie esthétique, . . adorno, théorie esthétique, . . anne souriau, “vocabulaire d’esthétique”, . . adorno, théorie esthétique, . . jean-paul olive, “fragments épars, fragments dynamiques”, in amey and olive (dir.), “fragment, montage-démontage, collage-décollage, la défection de l’œuvre ?”, coll. arts (paris, l’harmattan, ), . . alain brunn, “fragment”, “dictionnaire des notions” (paris, encyclopædia universalis, ), . . lachaud, collages, montages, assemblages, vol. , . . adorno, l’art et les arts, . vol. , no. , may , pp. ∼ new physics: sae mulli, doi: . /npsm. . implications of the relationship between science and art in the twentieth century for science education hunkoog jho∗ center of general education, dankook university, cheonan - , korea (received march : revised april : accepted april ) this study aims to discuss the shared background between the theory of relativity in physics and surrealism in art and to elucidate the scientific features presented in paintings from the twentieth century. regarding historical background, both physics and art were influenced by modernism which denies absolute truth for many reasons: high interest in psychoanalysis, socio-economic inequity and contempt of life. art rejected perspectives about and concentrated on expression of given phenomena (cubism and surrealism), and science reached the conclusion that time is inseparable from space and that every motion or event is relative (theory of relativity). many artists were interested in the theory of relativity and tried to apply scientific theories in their paintings through direct and/or indirect interactions with scientists. paintings by surrealists and cubists showed the relativity of simultaneity, time dilation, length contraction and curvature of space-time. the cases shown in this study will be used to discuss pedagogical ways of teaching physics with art. pacs numbers: . .fk keywords: physics and art, theory of relativity, surrealism, cubism :gm� vês �vrËt�Â]ØÊÝ q�ønÚ ý å¾Ë � ý ÀxØ ýõu§ ��Þ�x¢ ÊÝ]k¡w��Õ×;c ��x¢ s���xìÈ �Ðgy@v��∗ éß�²dg@/�<Æ�§ �§�ª�l��í�§¹¢¤"é¶, ��;îß� - ( �̧� �z { � ~ÃÎ £§, �̧� �z { � ú&ñ �:r ~ÃÎ £§, �̧� �z { � >�f� sx�&ñ ) �:r ���½̈��h [jl� �©�@/$í s��:r_� òøÍÒqtõ� �í�&³z�́ÅÒ_� p�Õüt_� òøÍÒqt c��â �̀¦ ¶ú�(r�Ð�¦, {©�r� p�Õüt ���¾¡§ �̀¦ �©�@/$í s��:r_� �'a&h�\�"f ì�r$ � �%i���. [jl�_� Óüto��<Æõ� p�Õüt�Ér �̧¿º Ì�o�'a&h� z�́�̂\� @/ô�Ç ÂÒ&ñ �̀¦ ÅÒ�©� ���h �̧� m� £§_� ô=�<Æ&h� âì £§ �\� z�~#� e��% �ܼ , &ñ ���ì�r$ ��<Æ_� @/¿ºü< íß�\o� +À:"î õ� ]j²dgÅÒ_� \� _�ô�Ç ���r �â ]j&h� Ô�¦î̈ px, ���çß� �èü@ px_� /bn:�x&h���� c��â \� z�~#� e��% ���. s�\� p�Õüt�Ér ��� "é¶��hzo�õ� /bnçß�_� ]x�@/$í �̀¦ ��ÂÒ ��¦ s�\�¦ dh�Ðî�r �'a&h�\�"f ì�r$ � ��¦ ³ð�&³ �� ��h { ��̂��ü< �í�&³z�́ÅÒ_��Ð ���� y�¤Ü¼ , Óüto��<Æ�Ér ]x�@/&h�s��¦ lqwn�&h���� r�çß�õ� /bnçß� �'a>�\�¦ �Å�#q �©�@/&h�s��¦ \o�)� e����h r�/bnçß�_� >h ¥Æ��̀¦ ]jîß� �%i���. ¢̧ô�Ç p�Õüt_� #��q �o��[þt�Ér �©�@/$í s��:r\� �'ad���̀¦ ��&��ܼ f��·çß�]x�&h���� �§ÀÓü< &ñ �Ð _þv pq�̀¦ :�xk� s�\�¦ p�Õüt\�"f_� ³ð�&³Ü¼�Ð �è�o ��¦�� �%i���. [jl� �o��[þts� Õª� ; p�Õüt���¾¡§�̀¦ :�x k� lxr�$í _� �©�@/$í , r�çß� t����ò́õ�, u�́s� ú»¡¤ò́õ�, ×�æ§ �e$�ݼ ò́õ� px�̀¦ ¶ú�(r�̂¦ ú e����. s��qô�Ç �� yv\�¦ :�xk� õ��<Æ�§¹¢¤\�"f_� p�Õüt �Ö̧  x ~½Óîß�\� @/k� � h_�½+É �.���s כ pacs numbers: . .fk keywords: Óüto��<Æõ� p�Õüt, �©�@/$í s��:r, �í�&³z�́ÅÒ_�, { ��̂ÅÒ_� ∗e-mail: hjho @dankook.ac.kr this is an open access article distributed under the terms of the creative commons attribution non-commercial license (http://creativecommons.org/licenses/by-nc/ . ) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. implications of the relationship between science and art in the twentieth century· · · – hunkoog jho∗ · �̧��³²dg i. "e Â]Ø õ��<Æ\�"f r�y��&h� ��«Ñü< p�Õüt�Ér b�ĺ ×�æ¹כô�Ç %i�½+É�̀¦ ô�Ç��. @/ÂÒì�r_� �§õ�"fü< �Ð�¦"f, � hë�h, "f&h� px\�"f ¶ú� �o, �����, ÕªaË>, ³ð pxr�y���o�)a��«Ñ\�¦��  x ��¦e����. s� �qô�Ç r�y��&h� ��«Ñ_� �Ö̧  x�Ér Óüto��<Æs� ��ÀÒ��h q���r�&h�, ÆÒ�©�&h� >h¥Æ��̀¦ �Ð#�º¡§Ü¼�Ð+� >h¥Æ� s�k�ü< �§Ãº �Ö̧ lx\� �̧¹¡§s� |̈c ÷�rëß� ��m���, õ��<Æ��[þts� s��:r�̀¦ &ñ �§�o � ��s�n�#q\�¦ ³ð�&³ ���h ~½Ózo�ܼ�Ð+��̧ ×�æ¹כ �>� �Ö̧  x�)a�� [ – ]. \v\�¦[þt��� �̧���\�"f_����ÀÓ_����  x�̀¦[o�"î �l� a k��'a�̀¦����âìØÔ��hÓüt_�ÕªaË>�̀¦�Ö̧  x �l��̧ � , £§�¾Ó �<Æ\�"f���©�\����Ér lq:£¤ô�ÇÁº](\�¦�Ð#�º¡§Ü¼�Ð+�Óüto��<Æ _�p�&h���u�\�¦×¼�q?/l��̧ô�Ç��. ¢̧ô�Ç�����_�s��:r�̀¦&ñ �§�o �l� ak� descartes��h Õª_� $�"f��� \� "f ��;�̂_� î�r lx�̀¦ [o�"î �l� aô�Ç Ãºéß�ܼ�Ð �è  x[�ts� �̧ +þa_� �̧d���̀¦ ]jr� ��¦ e����hx<, ��;�̂_� "é¶î�r lx�̀¦ >� £x�o �)a �è  x[�ts�ü<_� j˵_� ½+˧ �õ� î̈ +þaܼ�Ð [o�"î ��¦�� � %i��� [ ]. maxwell�Ér ���l�ü< ��l�_� :�x½+Ë�̀¦ ú�<Æ&h�ܼ�Ð s�=åj#qÍÇx�̀¦ ÷�rëß� ��m��� s�\�¦ ò́õ�&h�ܼ�Ð �Ð#�ÅÒ��h �̧ +þaܼ�Ð+� ����Ér ß¼l�_� "é¶+þa �� '\� Ñüt�q����� ¹¢¤y��+þa �̧ �ª�_� \�_�ØÔ �è  x[�ts�\�¦ :�xk� f����� �̧���\� âìØÔ��h ���ÀÓ \� _�k� ��l��©�s� +þa$í ÷&��h �¦̀� כ �Ð#�ÅÒ�¦�� �%i��� [ ]. s� ü@\��̧ da vinci\�¦ �í�<Êô�Ç #��q ØÔw �©�Û¼ r�@/_� �o ��[þt_�ÕªaË>�Ér����̂\�¦k�ÂÒ ��¦&ñ x � �>�¬¹���<Êܼ�Ð+� Õª ½̈�̧\�¦ ����� ���h x<\� l�#� �%i��� [ , ]. p�Õüt %i�r� õ��<Æ_� f��·çß�]x�&h���� %ò �¾Ó�̀¦ ~ÃÎ�¦ e����. �¦ @/\�"f ×�æ[j\�¦ �� g ��h@/�Ð ����°ú�ú �¤ �r�o��h ᧠� y©� §>= ��¦ ���ª�ô�Ç Ò�og�\�¦ �Ö̧  x �>� ÷&��hx< s��qô�Ç Ò�og�_� �Ö̧  x_� c��â \���h îß�«Ñ\�¦ ]j�̧½+É Ãº e����h �o�<Æ, ync\� @/ ô�Ç s�k�\�¦ �̧î�r f�g�<Æ_� µ Ï���õ��̧ x �]x� �>� ������÷&#q e�� �� [ ]. \v\�¦[þt���, áÔyuÛ¼�ï��% ��í��_�l�zo��̀¦æ¼��hÕª aË>\�"f ÅÒ�Ð æ¼��h Ï̧�Ò�oõ� �̧êøÍÒ�o_� îß�«Ñ��h y��y�� ±ú�õ� s!� �̀¦ �í�<Êô�Ç��. s� Ñüt�̀¦ [o�>� ÷&��� ync_� Ò�o�©�ëß� �¦� ô�Ç�� ��� �̧êøÍÒ�o_� "î �̧�� z�}��t�t�ëß� z�́]j�Ð��h �ÃÌô�Ç Ò�o¾ú�s� ��������hx< s���h y��y��_� îß�«Ñ Åq\� �í�<Ê�)a s!�õ� ±ú�s� ìøÍ £xk� ����ÉrÒ�o_� �©��fk��� s!��o±ú� (pbs)�� µ ÏÒqt �l� m:ë�hs� ��. s�\�¦k���� �l� ak�Ä»�o�� px�©�Ùþ¡Ü¼ , %i�Ò�o�̀¦:�xô�Ç dh�Ðî�r l�Õüt_� px�©�ܼ�Ð ���ª�ô�Ç Ò�o�©�s� ëß�[þt#qt��¦ ³ð ï�r�o÷&% ��� [ ]. ¢̧ô�Ç ØÔw �©�Û¼ r�l�_� �o��[þt�Ér �bj �� �̀vۼǩ�����¦ ÂÒØÔ��h �©�q�\�¦ :�xk� ë�by���h �©��̀¦ �Ð�¦ ���� Õªo����� ��Ö�¦�̀¦ :�xk� q�yv\�¦ sx�����<Êܼ�Ð+� �Ð�� &ñ sx�ô�Ç "é¶��h�̀¦ ¬¹��½+É Ãº e��% ��� [ ]. �̧zþt±ú�\���h õ��<Æ l�Õüt�̀¦ \vÕüt_� #��q ³ð�&³ úéß�ܼ�Ð f��]x� �Ö̧  x �l��̧ � ��hx<, '��éß� f�g�<Æl�Õüt�̀¦ s�  xô�Ç yus�$� ��àÔ�� ���̧l�Õüt �̀¦ �Ö̧  xô�Ç ���̧Û¼h�{ � ��àÔ�� px�©� ��¦ e����. ¢̧ô�Ç x-��� px�̀¦ :�xk� p�Õüt ���¾¡§_� Û¼h�u� px�̀¦ ·ú���?/��h q���õ� ��� ���� îß�«Ñ\� �í�<Ê�)a ~½Ó�� px Óüt| ��̀¦ ì�r$ �k� % �#q?/��h a ���\� @/ô�Ç óøÍ&ñ , ���¾¡§_� ���@/ £¤&ñ px ���ª� �>� �Ö̧  x�)a �� [ , ]. s�ü< °ú �Ér õ��<Æõ� p�Õüt_�  ñk�&h� �'a>�\� ���� �̧zþt±ú� õ��<Æ�§¹¢¤\�"f�̧ p�Õüt_� ¹$íכ�� \� ÅÒ lq ��¦ e����. :£¤y�, p�Õüts� ��t���h �½Ó_�&h�s��¦ f���'a&h���� ]x���h x � y��$í _� &ñ _�&h� %ò %i�s� õ��<Æ �<Æ_þv x � �Ãн̈\�"f l�#�½+É �¦����s כ ��� ]jô�Ç�� [ ]. �̧zþt±ú�_� õ��<Æ_� �:r$í _� �'a&h�\�"f��h õ��<Æ &h� µ Ï| �õ� \o�&h��̀¦ ak�"f��h éß�t� &ñ x �ô�Ç z�́+«>s��� £¤&ñ , � ho�&h� ÆÒ�:r px§ � ü@\��̧ �©��©�§ �õ� �½Ó_�§ ��̀¦ .��¹ô�Çכ s� �qô�Ç px§ �[þt�Ér ÅÒ�Ð \vÕüt��[þt_� ���¾¡§ �Ö̧ lx\�"f�̧ y©��̧ ÷&��h �ܼ�Ð כ \vÕüt&h� �Ö̧ lx�̀¦ :�xk� �©��©�§ �õ� �½Ó_�$í �̀¦ l� ØÔ , ���²dg\���h õ��<Æ&h� �Ãн̈\��̧ �̧¹¡§s� �)a����h �.���s כ ¢̧ô�Ç\vÕüt&h��½Ó_�$í õ�õ��<Æ&h��½Ó_�$í \���h#��q/bn:�x&h�s� e������h &h��̀¦ ×¼�q?/l��̧ ô�Ç��. weisberg��h dna_� s�×�æ ����� ½̈�̧_� µ Ï| � õ�&ñ õ� picasso_� >�ØÔm� �_� òøÍÒqt õ� &ñ \� @/k� q��§ ����"f õ��<Æ�Ér µ Ï| ��̀¦, \vÕüt�Ér �½Ó�̧_� õ� &ñ %�! � �Ðs�t�ëß� z�́]j µ Ï| �õ� �½Ó�̧_� �â >��� �̧ ñ ��� �¦ ÅÒ�©�ô�Ç��. dna s�×�æ ����� ½̈�̧_� �½Óîß�s� watsonõ� cricks� ����� ���Ér ��|ÃÐ\� _�k�"f�̧ �� pxô�Ç éß�t� ���$� “µ Ï| �”ô�Ç �¦����s�% כ ô�Ç�����, picasso_� { ��̂&h� �oÛ�æ %i� r� cezanne_� %ò �¾Ó�̀¦ ~ÃÎ�Ér �ܼ�Ð כ ���Ér ��|ÃÐ\� _�k� µ Ï | �|̈c ú e�����¦ �̂¦ ú e���� [ ]. ¢̧ô�Ç, s�×�æ ����� ½̈�̧\� @/ô�Ç Òqty�� %i�r� ÅÒ#q��� ��«Ñ\� @/ô�Ç k�$ ��̀¦ :�xk� ������ ��h �,ܼ�Ð כ p�Õüt %i�r� k�$ �_� ë�h]j\� �í&h�s� ú́� x r e�� ��. >����� õ��<Æ&h� µ Ï| ��̀¦ ak�"f��h �'aº��÷&��h #��q l�Õüt õ� t�d���̀¦ _þv pqk��� �� px � pws�, p�Õüt_� �½Ó_�$í %i�r� ô�Ç ���\� s�ÀÒ#qt���h ��s כ ����� ú �̧� ¢̧��h úz�� �̧�çß�_� ô ¥ º��õ� �<Æ_þv�̀¦ :�xk� ��������h ��s�l כ m:ë�hs���. :£¤y� �̧zþt±ú�\���h ���ª�ô�Ç ���r >ü̈½¹כ ë�h]j k�����̀¦ a k�"f��h õ��<Æl�Õüt ü@\��̧ \vÕüt, ���ë�h�<Æ px ���ª�ô�Ç ì�r�� _� t�d���̀¦ :�x½+Ë ��¦ k�$ �½+É Ãº e����h ���f��ª�$í _� ×�æ¹$כí s� y©��̧÷&�¦ e����. :£¤y� >h&ñ �§¹¢¤õ�&ñ \�"f��h Ö x½+Ë ���f��§¹¢¤�̀¦ ×�æ¹כô�Ç �§¹¢¤_� lq³ð ×�æ ����Ð ?/[jĺ�¦ e�� ��hx< [ ] s���h �§õ� ×�æd��_� ]x���h ~½Ód��\� ô�Ç>��� ×¼�q�� l� m:ë�hs���. “ £¤, �̧zþt±ú� t�d��t�d��s� =åse��\o�s� »¡¤&h�÷& �¦ ��h�:r&h�ܼ�Ð ����oô�Ç����h &h�õ�, �<Æ_þv��_� [j�©�\� @/ô�Ç ����̂&h� ���d��õ� ��� a&h� ?/  x_� ì�r½+É çß�_� Ô�¦{ �u�$í , Õªo� �¦ �<ÆÒqt_� �ÃÐ#� ���� � x � �èü@ µ ÏÒqts�����h ë�h]j” m:ë�hs� �� [ ]. éß�{ � �<Æë�hs��� ���/bn ëß�ܼ�Ð��h �̧zþt±ú� dh\�v>� µ Ï Òqt÷&��h ���ª�ô�Ç ë�h]j\�¦ k���� ���h x<\���h ô�Ç>��� e��ܼ , �&³z�́���r_� z�́]j&h� ë�h]j\�¦ k���� �l� aô�Ç  ¤½̈ü< ���fg �̀¦ëß� á¤r�v�l� ak�"f��hÖ x �¤½+Ë�§¹¢¤s�� ����&h�s�����h&h� s���. s�\� þj��h\���h Ö x½+Ë���f��§¹¢¤ ?/\�"f õ��<Æ, l�Õüt, new physics: sae mulli, vol. , no. , may /bn�<Æ, ú�<Æ ü@\��̧ \vÕüt�̀¦ �í�<Êr�&� \vÕüt&h� y��$í õ� �½Ó_� &h� [o�>�, z�́]j&h���� �©�s!�\�"f_� ë�h]j ���d���̀¦ y©��̧ ��¦ e�� �� [ ]. :£¤y� p�Õüts��� l�Õüt, /bn�<Æ�§¹¢¤\�"f��h õ��<Æõ�_� :�x½+Ë�̀¦ :�xk� ���ª�ô�Ç �Ö̧ lx�̀¦ >hµ Ï ��¦ e��ܼ , s�\�¦ :�xô�Ç õ��<Æ&h� �è�ª� ü@\��̧ l�Õüts��� /bn�<Æ&h� �è�ª� �<Ê�ª�, p�Õüt\� "f_�/bny��y���Ö̧  x�̀¦l�@/ ��¦e���� [ , – ]. ö&õ��<Æ\� l�ìøÍô�Ç p�Õüt�§¹¢¤s��� �èo�_� r�y���o\�¦ :�xô�Ç p�Õüt�̀¦ r� �̧ ���h ��þts] כ Õª \v�� �)a��. õ��<Æõ� p�Õüt_� �'a>���h õ��<Æ_� �:r$í _� £¤���\�"f�̧ ×�æ ¹כ�>� �¦� |̈c ��¹כ�� e����. õ��<Æõ� p�Õüt �̧¿º ���rë�h�o ü< %ò �¾Ó�̀¦ ÅÒ�¦ ~ÃÎ��hx< s���h õ��<Æ_� �:r$í _� :£¤fç ×�æ � �� (socio-cultural embeddedness) \� k�{©�ô�Ç�� [ ]. õ� �<Æ t�d�� x � õ��<Æ&h� µ Ï| �\���h >h��� ¢̧��h ���r�� Åqô�Ç �� u��'as��� ���¦ ~½Ód�� px\� %ò �¾Ó�̀¦ ~ÃÎl��̧ ��¦ ÅÒl��̧ ô�Ç ��. p�Õüt�̧ ���_� ���r�� ��t���h ��u��� �ª�d��\� k�{©�ô�Ç ���¦ ���� õ��<Æõ� p�Õüt %i�r� %ò �¾Ó�̀¦ ÅÒ�¦ ~ÃÎ��h���¦ �̂¦ úe����. \v\�¦[þt���, ���@/µ¢¤µ Ï| ��̀¦:�xô�ÇÂÒ_��½ÓØ�¦, Õªo� Û¼ �¦���\� @/ô�Ç f��̧"î px�̀¦ :�xk� ØÔw �©�Û¼_� r�l��� px �©� �%i��¦ s�\� �����Û¼xo�>� ��z�́ÅÒ_� �oÛ�æ_� p�Õüts� �� ��z�¤��. õ��<Æ %i�r� õ��<Æ��[þt\� @/ô�Ç ) ᤠ��ë�h_� t�"é¶õ� ���e�¦���:rÅÒ_�_�%ò �¾Ó�̀¦~ÃÎ��q����&h����µ Ï��� (õ��<Æ+À:"î ) �̀¦ s�ÀÒ>� ÷&% ��� [ ]. ¢̧ô�Ç ØÔw �©�Û¼ r�l�_� õ��<Æl�Õüt _� µ Ï����Ér dh�Ðî�r îß�«Ñ_� �Ö̧  x, ���"é¶��hzo�_� >h���ܼ�Ð s� #q&���¦ p�Õüt %i�r� ����̂_� &ñ x �ô�Ç ¬¹��\�¦ :�xô�Ç k�ÂÒ�<Æ_� µ Ï���\� l�#�½+É Ãº e��% ���. £¤, õ��<Æõ� p�Õüt_� �'a>�\�¦ :�x k� õ��<Æ�§¹¢¤\�"f õ��<Æõ� ���r_� �'aº��$í �̀¦ s�k�½+É Ãº e�� ��. ������, #��q p�Õüt\�"f_� ��yv\�¦ :�xk� �'aº��÷&��h õ� �<Æ >h¥Æ��̀¦ �Ãн̈ ��¦ s�k� ���h x<\��̧ �̧¹¡§s� �)a�� [ ]. s�\� �:r ���½̈��h õ��<Æõ� p�Õüt_� �'a>�ü< c��â �̀¦ :�xk�"f �ª� ���� ��t���h /bn:�x&h��̀¦ �̧"î ��¦, s�\�¦ ½̈�̂&h���� ���¾¡§�̀¦ :�xk�\vr��<Êܼ�Ð+�õ��<Æ�§¹¢¤\�"fp�Õüt�̀¦#qb�g>��Ö̧  x½+É Ãº e����ht� ]jr� ���h �¦̀� כ lq&h�ܼ�Ð ô�Ç��. ½̈�̂&h�ܼ�Ð �&³ @/ Óüto��<Æ_� Ùþ�d��s��� ½+É Ãº e����h �©�@/$í s��:rõ� �&³@/ p� Õüt_� òøÍÒqt õ�&ñ �̀¦ ¶ú�(r �§Ü¼�Ð+� õ��<Æõ� p�Õüt_� �'aº��$í \� @/k� � h_� � , �©�@/$í s��:r_� Òqty��s� �í�<Ê÷&#q e���� �� �©�@/$í s��:rܼ�Ð k�$ �|̈c ú e����h #��q ���¾¡§[þt�̀¦ �è>h ��¦ s�\�¦ :�xk� õ��<Æ�§¹¢¤\�"f �©�@/$í s��:rõ� °ú �Ér �&³@/ Óüto��<Æ_� �<Æ_þv\�"f p�Õüt�̀¦ #qb�g>� �Ö̧  x½+É Ãº e����ht� ]j îß� ��¦�� ô�Ç��. ii. - :gm� ý w Ä��xìÄ ßoË [jl�\�{ �#qèß��©�@/$í s��:rõ�{ ��̂ÅÒ_�, ³ð�&³ÅÒ_�ü< °ú �Ér dh�Ðî�r p�Õüt ���̧_� px�©��̀¦ s�k� �l� ak�"f��h ��h @/s�Êê_�%i���&h�âì £§�̀¦s�k�½+É� ¹כ���e����. ×�æ[j_� áx ú́��̀¦ ·ú�� ; >� lxÅÒ_���h ���çß�_� �Ö̧ lx (�â +«>õ� s�$í )�̀¦ :�x ô�Ç �>rf��:r&h�, ���d���:r&h� z�́f�\� @/ô�Ç µ Ï| �õ� �¾Ó�©��̀¦ ÆÒ½̈ �%i��¦ s���h ∼ [jl� ë�h�o\vÕüt %ò %i�\�"f_� ÂÒ<ɪ î�r lx (ØÔw �©�Û¼)ü< ∼ [jl�_� õ��<Æ&h� µ Ï| �\� @/ô�Ç q���� &h� £x�� (õ��<Æ+À:"î )ܼ�Ð s�#q&����. :£¤y�, comte�� ÅÒ�©� ô�Ç z�́ £xÅÒ_���h s������t� ×�æ¹כ �>� �¦� k� �:r ����<Æ&h� �� �¦ü< +þas��©��<Æ&h� ���¦�Ð�� ��� £x �� px � �'a¹ Ï �� pxô�Ç �¦̀� כ ��ÀÒ��h õ��<Æ&h� ���¦\�¦ ĺ a\� ńuܼ�Ð+� õ��<Æ\� @/ ô�Ç t�t�\�¦ ��z�t� ·ú§��¤�� [ ]. ������ [jl� s�Êê ���� èß� íß�\o�+À:"î ܼ�Ð @/|¾Ó Òqtíß�s� �� pxk�t����"f �§:�xõ� :�x ���_� µ ϲú�, �̧r�_� +þa$í , ���ª�ô�Ç Òqt�Ö̧ � �ú¾¡§_� �Ð/ål�̀¦ �� rm®o��. p�Õüt\�"f�̧ f��&³�̀¦ lq&h�ܼ�Ð ���h ��z�́ÅÒ_� �� [jl���t� t� Åq÷&% �ܼ , &ñ x �ô�Ç ¬¹��\�¦ ak� �bj �� �̀vۼǩ��\�¦ �Ö̧  x �l��̧ �%i���. [jl�_� Êêl� ����©� ÅÒ_� �o��[þt�Ér ync_� ×�æ¹$כí �̀¦ ���d�� ��¦ ync\� _�ô�Ç ���ª� ô�Ç��Óüt_�¬¹��\�| �×�æ �%i���. :£¤y�, íß�\o�+À:"î �̀¦:�xô�Çdh �Ðî�r %i�«Ñ_� >hµ Ï�Ér ³ðï�r Ò�o�©�³ð_� px�©��̀¦ �� r�̧>� ÷& % ��� [ ]. s�\�¦ :�xk� �Ð�� ���ª�ô�Ç Ò�og�\�¦ ³ð�&³½+É Ãº e�� >� ÷&% ���. Õª�q��íß�\o�+À:"î õ�õ��<Æl�Õüt_�µ ϲú��Ð���ô�Ç�̀k����� �������"fdh�Ðî�r¹¡§f��e��s�������l�r���� �%i���. /bn�©��̀¦ :�xô�Ç Òqtíß�_� �� Åq�o��h úú́§�Ér ��|ÃÐ[þts� { ���o�\�¦ ¹ Ô�� �̧r��Ð �̧#�[þt>� Ùþ¡�¦, s��Ð ���k� �̧r�\�"f_� ���½̈ x �| � õ� ̈��â ë�h]j, ���ÂÒ ��� � ë�h]j px�̀¦ ±ú¢>� ÷&% ���. ¢̧ô�Ç y©�@/²dg\� _�ô�Ç gË>|ÄÌ�̀¦ �x ñ ���h ]j²dgÅÒ_�\� @/k� q�óøÍ &h�r�y���̀¦��t�>�÷&% �ܼ , [j>�@/���µ ϵ Ï�Ð���ô�Ç@/|¾Ó �<ƶú�, Òqt"î �â r�_� ë�h]j�� t�&h�÷&���"f ]x�@/&h�s��¦ �м#� &h� | �"f\� @/k� ��ÂÒ ���h ¹¡§f��e��[þts� ������l� r���� � %i���. s��qô�Ç ¹¡§f��e���Ér �м#�&h�s� ]x�@/&h���� ���o�ü< | �"f \�¦ ÂÒ&ñ ���h âì £§Ü¼�Ð s�#q&��ܼ , ���çß��̀¦ % �·ú� ��¦ ¶ú© �̀¦ ���&ñ ���h ���r ½̈�̧\� �'ad���̀¦ ��t���h �̧� m� £§Ü¼�Ð s�#q&���� [ ]. >� lxÅÒ_�\�"f �̧� m� £§Ü¼�Ð_� �h ��� ̈� îß�\���h Óüto� �<Æõ� p�Õüt %i�r� �í�<Ê÷&#q e����. Óüto��<Æ_� �â ĺ, new- ton s�a� úÑþ� �̧� lxîß� /bn�§ô�Ç t� a\�¦ t�&� �:r �¦���%i� �<Æ�Ér poincare���©�@/$í s��:r_�"é¶o�\�¦ÅÒ�½Ó ��¦, mach, lorentz pxs� l��>r_� /bnçß�\� @/ô�Ç f�>h¥Æ��o\�¦ r��̧ ���� "f ]x�@/&h�s��¦ lqwn�&h���� r�çß�õ� /bnçß�_� �̂>��� Áº�-t� �¦, r�çß�õ� /bnçß�_� \o�j˵ �©�i�\�¦ ]jîß� ���h �©�@/$í s��:rܼ �Ð @/�̂÷&% ���. { �ìøÍ �©�@/$í s��:r_� µ ϳð��h s������t� lq wn�&h�ܼ�Ð #����̧~�� Óüto�|¾Ó��� | �|¾Ó, \��-t�, r�çß�, /bnçß� �̀¦ :�x½+Ë&h�ܼ�Ð s�k� �>� ÷&% ��� [ ]. p�Õüt\�"f��h ���"é¶ ��hzo�\� @/k� ]x�@/&h�ܼ�Ð ���ø@ ��¦ s�\�¦ ú'�� �� ~�� �� z�́ÅÒ_� (realism)_� �oÛ�æs� [jl� ]x�&ñ \� s��Ér +', ync\� implications of the relationship between science and art in the twentieth century· · · – hunkoog jho∗ · �̧��³²dg @/ô�Ç y��y��&h� ���d��\� �í&h��̀¦ é�h ����©�ÅÒ_� �o��[þts� ���� �����"f &h� � �èy>�÷&% ���. ync_� y���̧ü< r�çß�\� ���� ��ØÔ >� ��������h Óüt�̂\�¦ ¬¹�� ����� /bnçß��̀¦ f�����s� ����� /bg ��� ¢̧��h Ò�oܼ�Ð ³ð�&³ �l� r���� ����"f z�́f�_� ³ð�&³\� @/ ô�Ç ]x�@/$í s� �@Ò�o÷&% ��� [ ]. ��Óüts��� �&³�©��̀¦ f��&³ � ��hx<\��í&h��̀¦¿º% �~��s����r�@/_�p�Õütõ�²ú�o�, y��y��÷& ��h �̧_þv\� @/ô�Ç ³ð�&³\� �Ð�� �í&h��̀¦ ¿º��h ³ð�&³ÅÒ_� p�Õüt �Ð @/�̂÷&% ���. s��qô�Ç ����o��h ]x�@/&h� ��u�\� @/ô�Ç $��½Ó õ� ���çß�_� ³ð�&³\� @/ô�Ç �'ad��s� s�#qt����"f ����èß� �¼Ü כ �Ð:£¤y� freud_�&ñ ���ì�r$ ��<Æ�Ér���çß�_�Áº_�d��\�@/ô�Çdh �Ðî�r r�y���̀¦ Ô�¦�q{ �ܼ(����. p�Õüt\�"f��h l��>r_� �� £§�� ¹¡§, ³ð�&³\� @/ô�Ç $��½Óܼ�Ð ìøÍp�Õüt (����s� £§)s� ����z�¤ ܼ , l��>rõ� ²ú�o� l� ��<Æ&h���� { ��̂�Ð �̧��h ��Óütõ� /bnçß� �̀¦ ì�rk� ���h { ��̂ÅÒ_�ü< ���çß�_� Áº_�d���̀¦ y©��̧ ���h �í �&³z�́ÅÒ_��� px�©� �>�÷&% ���. { ��̂ÅÒ_� (cubism)��h{ ��̂ \�¦ _�p� ���h cube\�"fÂÒ'� �:r  x#q�Ð+� �����>�_� @/�©� õ� /bnçß��̀¦ { ��̂�Ð ³ð�&³ ��¦�� ô�Ç �¦̀� כ ú́�ô�Ç�� [ ]. s� �qô�Ç ¹¡§f��e��\� ·ú¡�©�$ �~�� ��|ÃÐs� picassoü< braques���. �í�&³z�́ÅÒ_���h q�î̈ �� apollinaire\� _�k� ·¡­#���� ú́��Ð+� s�$í _� t�c�\�¦ ~ÃÎt� ·ú§�¦ Áº_�d�� ¢̧��h �©��©�, Àdk_� [j>� _� ³ð�&³�̀¦ t��¾Ó ���h p�Õüt�̀¦ ú́�ô�Ç�� [ ]. lxr�@/\�����èß�Óüto��<Æõ�p�Õüt_�dh�Ðî�r���̧[þt�Ér#� �q /bn:�x&h��̀¦ ��t��¦ e����hx<, ]x�@/&h� ��u�\� @/ô�Ç ÂÒ&ñ s� Õª @/³ð&h���� \vs���. õ��<Æ\�"f��h ]x�@/ l�ï�r>��� ÂÒ&ñ ÷& �¦ lxr�$í _� �©�@/$í s� y©��̧÷&���"f ]x�@/&h� £¤&ñ s� Ô�¦�� px�<Ê�̀¦ _�p�ô�Ç��. p�Õüt\�"f��h ]x�@/&h���� p�\� @/k� ÂÒ&ñ � s��©��o�)a z�́f�_� f��&³s� lq&h�s� �����, \vÕüt��_� y�� y��õ� ³ð�&³s� lq&h�ܼ�Ð @/¿º÷&% ���. "f�Ð ���Ér �<Æë�h ì�r�� \�"f Ä»��ô�Ç ¹¡§f��e��s� lxr�\� { �#qèß� ��Ér כ éß�t� ĺ���_� { �u��Ðëß� �Ðl� j˵[þt��. Óüto��<Æõ�p�Õüt\�"f_�Ä»��ô�Ç�'a&h�\�@/ô�Ç/bnÄ»��h�èú s�l���h �t�ëß� Óüto��<Æõ� p�Õüt_� f��·çß�]x�&h���� �§ÀÓ\�¦ :�x k� s�ÀÒ#q&�� £§�̀¦ ·ú� ú e����. ë�h�<Æ����� valery��h [jl� {©�r�_� Óüto��<Æ��[þt��� curie, bohr, de broglie pxõ� � ;ì�r s�u�·% �ܼ Õª[þt_����½̈z�́�̀¦�ÃÐ�'a � �r_�\��ÃÐ$ � �#� ��s�n�#q\�¦�§ ̈� �l��̧ �%i��� [ ]. breton�ÉrÕª_�Û¼ px ��� valery_� %ò �¾Óܼ�Ð �©�@/$í s��:rõ� eddington_� ��áÔ o� �{ �d���'a £¤��| � px�̀¦]x� � s�\�¦l�ìøÍܼ�Ðë�h�<Æ��� ¾¡§õ� ú̧�t�\� l��¦ �%i���. Õª��h :£¤y� �í�&³z�́ÅÒ_� ���¾¡§_� p�Õüt&h�:£¤fç ×�æ ������ �̧�Ð��w� £§ (automatism)�̀¦³ð�&³ ��¦�� �%i�ܼ maxwell_�%ò �¾Ó�̀¦~ÃÎ�� ����h Õþ��̀¦ Ø�¦çß� �l��̧ �%i��� [ , ]. Õªü< Õª_� Û¼ px��� ��h Õþ��Ér \vÕüt>�\� �è>h÷&% �ܼ , #��q \vÕüt��[þt s�s��qô�ÇÒqty��[þt�̀¦]x�½+Éúe��% ���. \v\�¦[þt��� picassoü< �<Êa� ô�Ç #��q �����[þt�Ér q�Ä» þto�×¼ l� ��<Æ, �"é¶, r�çß� #�'��\�@/k�� h_� �l��̧ �%i�ܼ einstein_� �"é¶/bnçß� >h¥Æ��Ér Õª_� � ;½̈\�¦ :�xk� �è>h÷&% ��� [ ]. ¢̧ô�Ç dali��h [jl� ×�æìøÍ Ùþ�Óüto��<Æ_� µ Ï���ܼ�Ð ���ô�Ç "é¶��;�¤òøÍ_� µ Ï "î \��̧w�ÚÔ\�¦% �#qÕª_�ÕªaË>\�"f�ª���%i��<Æ\�"f_� ̈�"é¶ &h�s��¦ì�r$ �&h���� Åq$í [þt�Ð@/�©�Óüt�̀¦k��̂ ���h³ð�&³�̀¦�̧ { � �%i��� [ ]. ¢̧ô�Ç kandinsky��h x-ray, ~½Ó�� px, | �|¾Ó-\� �-t� px��\� @/k� u�·�Ér �'ad���̀¦ ��&��ܼ magritte_� y�� y�� /bnçß�_� �d¥êøÍÛ¼�q¹¡§�Ér einstein_� /bnçß� >h¥Æ�ܼ�Ð�̧ k� $ �÷&l��̧ ô�Ç�� [ ]. {©�@/ Ä»"î Ùþ¡~�� �©�@/$í s��:r\� @/ô�Ç &ñ �Ð��h���ª�ô�Ç�â �Ð\�¦:�xk�]x�½+Éúe��% �ܼ , Õª[þt_���� ¾¡§\� @/ô�Ç lxl��� �©�@/$í s��:r\�"f Ø�¦µ Ïô�Ç ��Ér כ ��m�% � #q�̧ Ø�æì�ry� �ÃÐ�̧½+É Ãº e��% � £§�̀¦ ·ú� ú e���� [ , – ]. í$/@�©�/@� �¹כs��:rõ��í�&³z�́ÅÒ_���hÌ�o�'a&h�z�́�̂\�@/ô�Ç $��½Ó î�r lxs�����h /bn:�x&h��̀¦ ��t� , s���h r�@/_� ô=�<Æ&h� ��� ̈�\�"f Ø�¦µ Ïô�Ç �ܼ�Ð כ Òqty��k� �̂¦ ú e����. ¢̧ô�Ç Óüto� �<Æõ� p�Õüt\�"f_� f��·çß�]x�&h���� �§ÀÓ��h s�ü< °ú �Ér ¹¡§f��e�� \� ú¤b� %i�½+É�̀¦ ô�Ç �ܼ�Ð כ �̂¦ ú e����. õ��<Æõ� p�Õüt_� �'a >�\� @/ô�Ç ����'a$í �Ér #����y� ½+Ë_�÷&t� ·ú§��h ÂÒì�rs� e��ܼ �� { �ÂÒ �o��[þt_� �â ĺ, õ��<Æ\� @/ô�Ç �'ad���̀¦ :�xk� Õª[þt _� p�Õüt\�"f_� ��s�n�#q\�¦ µ Ï���r�(���� [ ]. &h�#q�̧ õ� �<Æõ� p�Õüts� °ú �Ér r�@/&h� c��â \�"f "f�Ð ���Ér ~½Ó�¾Óܼ�Ð ��êøÍ ×�¦l�ü< °ú s� ����z�¤ £§�̀¦ ÆÒ�:r½+É Ãº e����. iii. :gm� >h×d;c"e ������Àw¥ vês �vrËt�Â]Ø ý t�a �¦���%i��<Æõ��©�@/$í s��:r_� �s�&h�×�æ �����h lxr�$í _� �©�@/$í s���. #q�"� ¿º ��| �s� ���_� l�ï�r>�\�"f lxr�\� { �#qz�¤���¦ �� ���̧���Érl�ï�r>�\�"f lxr�\�{ �#q��t� ·ú§�Ér �� !�% כ �Ð{ � ú e��ܼ , Ñüt ×�æ #qÖ¼ ô�Ç l�ï�r>�_� �'a ¹ Ï��ëß� �̀����¦ ú́�½+É Ãº \o���. ���²dg ¿º l�ï�r>�_� �'a¹ Ïs� �̧¿º �̀��Ér �� !�% כ q� [l� m:ë�h\� �©�@/$í s��:r\� @/ô�Ç �� �ª�ô�Ç %i�[o�s� �>rf� �>� �)a��. s���h ��u� ���_� /bnçß�\�"f { �#qèß� ��| �s� �'a¹ Ï��_� î�r lx �©�i�\� ���� ��ØÔ>� �Ðe�� ܼ�Ð+� #��q >h_� "f�Ð ���Ér ���z�́s� /bn�>r ���h �� !�% כ �Ð s�>� �)a��. s�\�¦ ÕªaË>ܼ�Ð ú̧� �Ð#�ÅÒ��h ��s כ cezanne��� � כ °ú ��. cezanne��h �����_� &ñ Óüt�o\�"f ���_� �'a&h�s� ����� #��q >h_� �í&h��̀¦ ���_� �±p!qÛ¼\� ³ð�&³ �� �¦ � %i��� (fig. �ÃÐ�̧) [ , ]. "f�Ð ���Ér r�&h��̀¦ ����� �'a¹ Ï ��_� �̧_þv[þt�̀¦ ���_� �o;�¤\� {��ܼ���"f ��Óüt\� @/ô�Ç ³ð �&³�̀¦ #qÖ¼ ���_� �¦&ñ &h� �'a&h�s� ����� #��q �'a&h�_� �'a¹ Ï ��\� _�ô�Ç ���ª�ô�Ç �̧_þv�̀¦ {���Ér ����s כ ½+É Ãº e����. :£¤y� cezanneü<°ú �Ér [jl�_� ����©�ÅÒ_��o��[þt�Ér/bnçß�õ� î�r lx\� @/ô�Ç ]x�@/&h���� k�$ ��̀¦ ÂÒ&ñ ���h ~½Ó�¾Óܼ�Ð ����y�¤ new physics: sae mulli, vol. , no. , may fig. . (color online) by cezanne and its interpretation by loran ( ). ��hx< a�� ��a�_� �¦&ñ &h���� Óüt�̂_� c�u�\� @/k� _�d�� � �¦, l��í&h���� { ��̂�� l� ��<Æ&h� �̧�ª�ܼ�Ð ����?/l� r���� �%i���. s��qô�Ç ¹¡§f��e���Ér [jl� ×�æ¹כô�Ç p�Õüt�̀¦ {��{©�ô�Ç pi- cassoü< braque�Ð s�#q&����. Õª[þt�Ér ���_� { ��̂�� �� t���h #��q /bnçß�&h� £¤����̀¦ ����Ð ¬¹�� ��¦ e����. <��q� mx_� %��.[þt ( )>, <��s��̀¦� ;õ� ÅÒ����� ( )>\�¦ �Ð��� ���_� x����̂�� ��t���h #��q £¤���_� �̧_þv�̀¦ �d¥½+Ë k� �Ð#�ÅÒ�¦ e����. s���h /bnçß��̀¦ éß�í�hô�Ç +þai�_� { �~½Ó�̂�Ð ̈�"é¶k� ³ð�&³½+É Ãº e�����¦ ���h ���¥Æ�\�"f Ø�¦µ Ïô�Ç �,s� כ ÅÒ#q�����| �\�@/k�#��q����̀¦ô�Ç�o���\������·p�.���s כ s���h ��� Åq&h�s��¦ Ô�¦���ô�Ç /bnçß�\� @/ô�Ç ��ÂÒü< �<Êa� Óüt�̂ \� @/ô�Ç ³ð�&³s� �'a&h�\� ���� ²ú���| � ú e�� £§�̀¦ �Ð#�ÅÒ�¦ e����. s���h p�Õüt\�"f_� lxr�$í �̀¦ _�p� ���h �ܼ�Ð כ Óüto� �<Æõ� ²ú�o� "f�Ð ���Ér ¿º >h s��©�_� +þa�©��̀¦ �̧�or�&� ô�Ç �o���\� ³ð�&³ ���h �¦̀� כ ú́�ô�Ç�� [ , ]. s��qô�Ç ³ð�&³�Ér k� $ � "é¶��hzo� (analytical perspective)���¦ ÂÒØÔ��h �,ܼ�Ð כ fig. . (color online) by picasso and by braque. î̈ ���_� �o���\� { ��̂�� x����̂_� ���©� ú́§�Ér ���s� ×¼�q�� �Ðs��̧ �¤ ���h�¦̀� כ ú́�ô�Ç��. &ñ t�ô�Ç�'a¹ Ï��_��â ĺ, ����� _� \p�\� e����h ��Óüt�̀¦ �����Ð��� ô�Ç ���ëß��̀¦ �����Ð>� ÷&t� ëß� ync_� Åq�̧ëß��pus��� Ø�æì�ry� ���Ér �'a¹ Ï��\�>���h ��Óüt _� \p�����̧ �̂¦ ú e��>� �)a�� (fig. �ÃÐ�̧). ��ðøÍ��t��Ð &ñ t�ô�Ç �'a¹ Ï��\�>� �'a £¤÷&��h z>�ync_� y���̧�� ¹¡§f��s���h �'a ¹ Ï���� £¤&ñ ô�Ç z>�ync_� y���̧ü< �s��� µ ÏÒqtô�Ç��. "f�Ð �� �Ér î�r lx �©�i�ü< è�hz�}s�\�¦ ����� �'a¹ Ï��[þts� �����s� �:r � ��_� ��Óüt�̀¦ �̧¿º ���_� �±p!qÛ¼\� ³ð�&³ �>� |̈c m:, �� u� +'ü< ·ú¡, \p�s� +'%í &� e����h fig. _� ��q� mx_� %��.ü< °ú �Ér �̧_þvs� |̈c �.���s כ lxr�$í _� �©�@/$í _� ë�h]j\�¦ ��ÀÒ��h �â ĺ, áx áx px�©� � ��h \vr���h "f�Ð b��#q��� f�g"é¶\� _�k� yncs� ~½Ó��|̈c m: &ñ t�ô�Ç �'a¹ Ï��ü< ¹¡§f��s���h �'a¹ Ï����h y��y�� #q�"� f�g"é¶_� ync �̀¦ ���$� �Ð>� |̈c ������ כ ���h ë�h]j�� e����. "f�Ð ���Ér ¿º ��| �\� @/k� �Ðe$�ÞÔ ��� ̈��̀¦ s�  xô�Ç Ãº�<Æ&h� ]x���h�̧ �� px �t�ëß� z�́]j ��������h �&³�©��̀¦ ÕªaË>ܼ�Ð ³ð�&³ �����, s� p� ]jr��)a ÕªaË>�̀¦ ���½Óܼ�Ð ��| �_� ���õ�\�¦ k�$ � ���h l� �r\�¦ ���������� �<ÆÒqt[þts� �Ð�� { ��©�Òqt�Ö̧\� � ;ņq �>� �©� @/$í s��:r�̀¦ s�k�½+É Ãº e���¦, ¢̧ô�Ç ÕªaË>�̀¦ :�xk� lxr�$í _� �©�@/$í �̀¦ �Ãн̈k� �Ð��h l��r\�¦ ��| � ú e���̀¦ �.���s כ �í�&³z�́ÅÒ_� �o����� daliü< magritte��h ��u� �ÃÌr� ò́ õ�\�¦ ��t���h pwô�Ç ÕªaË>�̀¦ :�xk� lxr�$í _� �̧_þv�̀¦ �Ð #�ÅÒ�¦ e����. fig. \� ��������h dali_� <ÈÒ"î ���çß� ( ∼ )>�̀¦ ¶ú�(r�Ð��� �o��� ��a�\���h #�$í _� +þa�©��̀¦ ���h ��|ÃÐ_� ¹¡§f��s���h ��¥&h�s� �Ðs� �©�éß�\���h �����Óüt õ� f�̈��k� �Ðs���h ô�Ç z������ �Ð�����. "f�Ð ���Ér +þa�©��̀¦ ô�Ç ��Óüt�̀¦ Õª� ÍÇrõ� lxr�\� �̧ÚÔ]j_� �â >�\�¦ �̧ ñ �>� �<Êܼ�Ð+� �í�&³z�́&h���� �̧_þv�̀¦ �Ð#�ÅÒ�¦ e����. ¢̧ô�Ç ��a� �o���\�_� #�$í �Ér ��u� �bj��\�"f '�\�¦ \p��¦ n���Ér �� ���%�! �Õª��¥&h�s��������¦e����hx<, /bnçß�÷�rëß���m���"f �Ð ���Ér r�çß�\� ���Ér �̧_þv�̀¦ ³ð�&³ ��¦�� ô�Ç �ܼ�Ð כ r�/bn implications of the relationship between science and art in the twentieth century· · · – hunkoog jho∗ · �̧��³²dg fig. . (color online) by dali and by magritte. fig. . (color online) by dali and