Deformations of Planar Equilateral Polygons with a Constant Index

Ekaterina Sergeevna Zaputryaeva · Modeling and Analysis of Information Systems · 2015

A carpenter’s rule problem is considered for the case of a self-intersecting planar polygon with additional restriction: the index (turning number) of the polygon should be preserved during deformation. We present a solution for equilateral polygons and state a problem for general ones.

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