id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_53xuaunsqfhv7cuuzotagythj4	Dimitrios Danikas	THE GOLDEN RATIO AND PROPORTIONS OF BEAUTY	2004	10	.pdf	application/pdf	3500	397	73	golden ratio has been used to analyze the proportions of natural objects as that the golden ratio decimals can be used as a random number generator. H. Ghorbani, Golden ratio: The mathematics of beauty, Math. golden ratio is defined mathematically and introduces later from geometrical point 3. The Golden Ratio in Mathematics 6. Digits of the Golden Ratio as a Random Sequence In the following, the first 100,000 of decimal digits of golden ratio has been examined to answer the question of whether these digits form a sequence of random digits of the golden ratio are indistinguishable from a random sequence. Golden Ratio: The Mathematics of Beauty 9 Golden Ratio: The Mathematics of Beauty 9 Golden Ratio: The Mathematics of Beauty 9 Golden Ratio: The Mathematics of Beauty 9 Golden Ratio: The Mathematics of Beauty 9 P. Agarwal, Golden ratio in science, as random sequence	./cache/work_53xuaunsqfhv7cuuzotagythj4.pdf	./txt/work_53xuaunsqfhv7cuuzotagythj4.txt