Maekawa's Theorem

If one looks inside a flat origami without unfolding it, one sees a zigzagged profile, determined by an alternation of "mountain-creases" and "valley-creases." The numbers of mountains and valleys always differ by 2.

See also

Flat Origami, Kawasaki's Theorem, Origami

This entry contributed by Margherita Barile

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Demaine, E. D. Folding and Unfolding. Doctoral Thesis, University of Waterloo, Canada, p. 26, 2001., T. "Notes on Flat Folding.", K. and Takahama, T. Origami for the Connoisseur. Tokyo: Japan Publications, 1987.

Referenced on Wolfram|Alpha

Maekawa's Theorem

Cite this as:

Barile, Margherita. "Maekawa's Theorem." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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