# Golden Ratio by Paper Folding

Golden Ratio by Paper Folding

Given a square piece of paper with edge , make a crease so that . Make another crease so that . Then . Thus , which is the golden ratio.

BA=B'A=a

BC=a/2

CH

CB=CG

AG=AC-CG=AC-CB=a

5/4

-a/2=a(5

-1)2AB/AG=(

5

+1)2It is not easy to make the creases. The circle with center at and radius should pass through and should be its tangent.

H

GH

B

AC