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The Golden
Ratio
The
most pleasing of all
numbers, the golden ratio has properties which have delighted and
inspired thoughtful people throughout the ages. Also known as
the
Divine Proportion, it was venerated by Da Vinci, Seurat, Frank Lloyd
Wright, and many others who drew upon the spiritial power of its
geometric properties. The golden ratio also famously plays a central
role
in many of the world's greatest pieces of architecture, such as the Egyptian Pyramids and the Greek Parthenon.
The Greek sculptor
Phidias
(c. 450 BCE) created sculptures of humans of which many proportions in the
figures were golden. The ratio is now given the short name "phi," which is the first letter in Phideas’ name.

A square may again be
removed
from a golden rectangle;
the remaining portion is another golden
rectangle.
The process may be continued infinitely.
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The Divine Proportion

A
five-pointed star is called a pentagram. When inscribed inside a pentagon, the figure contains the golden ratio is many many ways. This symbol was the sacred symbol of the Pythagoreans.
Learn the mathematics and see more golden figures in the Naked Geometry Book.
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