Deformations of Planar Equilateral Polygons with a Constant Index

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