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Golden Ratio by Paper Folding

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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.

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

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Contributed by: Izidor Hafner (April 2019)
Using code by: Borut Levart
Open content licensed under CC BY-NC-SA

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Reference

[1] T. S. Row, Geometric Exercises In Paper Folding (W. W. Beman and D. E. Smith, eds.), New York: Dover Publications, 1966 pp. 19–20.

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