This article is cited in 1 paper

Deformations of Planar Equilateral Polygons with a Constant Index

E. S. Zaputryaeva

Moscow State Pedagogical University, Russia, Moscow

Abstract: 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.

Keywords: planar polygons, bar linkages, carpenter’s rule problem.

UDC: 513.7

Received: 15.09.2012