Paper by Erik D. Demaine

Erik D. Demaine, Blaise Gassend, Joseph O'Rourke, and Godfried T. Toussaint, “Polygons Flip Finitely: Flaws and a Fix”, in Proceedings of the 18th Canadian Conference on Computational Geometry (CCCG 2006), August 14–16, 2006, pages 109–112.

Every simple planar polygon can undergo only a finite number of pocket flips before becoming convex. Since Erdős posed this as an open problem in 1935, several independent purported proofs have been published. However, we uncover a plethora of errors and gaps in these arguments, and remedy these problems with a new (correct) proof.

The paper is 4 pages.

The paper is available in PostScript (223k), gzipped PostScript (80k), and PDF (114k).
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Related papers:
Flips_DCG20 (All Polygons Flip Finitely… Right?)

See also other papers by Erik Demaine.
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Last updated May 16, 2024 by Erik Demaine.