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