Page 1: Intro

Page 2: Euclid

Page 3: Repeating geometry

Page 4: Golden Rectangle

Page 5: Golden rectangles entangled

Page 6: Golden section construction

Page 7: Golden figures

Page 8: Golden mean in nature

Page 9: Golden mean in architecture

Page 10: Golden mean in art

Page 11: Golden mean and Fibonacci Numbers

VWC

Golden Mean in Art and Nature


From Euclid (365-300 BCE) comes the following definition:
If a straight line is cut in extreme and mean ratio, then as the whole is to the greater segment, the greater segment is the lesser segment.

golden_ratio

This is the first written mention of the Golden Mean, or Golden Ratio, or Golden Section, or Divine Proportion. There is evidence that the Pythagoreans, prominent prior to Euclid, knew of this ratio and the Egyptians seemed to have built some pyramids according to this proportion. The letter now used to designate this quantity is the Greek letter 'phi':
phi