Polygon shortening makes (most) quadrilaterals circular
Bull. Korean Math. Soc. 2002 Vol. 39, No. 1, 97-111
Published online March 1, 2002
Thierry Jecko and Jean-Christophe Leger
Universite de Rennes I, Universite de Paris Sud
Abstract : We show that an analog of the Gage-Grayson-Hamilton Theorem for curves moving according to their mean curvature holds for the motion of quadrilaterals according to their Menger curvature.
Keywords : motion by Menger curvature, cocyclicality, discretization, motion by mean curvature
MSC numbers : 34D05, 53A15, 53C44
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