Proceedings of the Twenty-Sixth Annual Symposium on Computational Geometry 2010
DOI: 10.1145/1810959.1810980
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Convexification of polygons by length preserving transformations

Abstract: A length preserving transformation of a polygon is any transformation of its vertices that preserves the lengths of the edges. In the video segment we will demonstrate three types of length preserving transformations: pocket flips, flipturns, and pops. We present sequences of such operations and study their power (or weakness) in the attempt of convexifying simple polygons.

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