Math: The Golden Ratio in Origami

by Arnold Tubis, John Andrisan, and Christopher Pooley
Edited by Jason Ku
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math

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Comments

Submitted by Bevbh on March 2, 2012 - 3:40pm

I'm confused about the bottom triangle in Fig. 10 and its explaination. It says s/b=b/h=ϕ. Did you mean b/(2h) or is the drawing not to scale?

Submitted by arnold.tubis on March 20, 2012 - 12:29am

The first three equations enclosed in the box on the lower right of Figure 10 apply to the general golden triangle box (with s/b=phi). The relations on the next line, s/b=phi, b/h=phi, apply to the more-constrained double-golden-triangle box, with h set equal to b/phi in the expression for y (second equation). The crease diagram is drawn so as to apply to the general case, and not to the special case of the double-golden-triangle box.