Geodesic
Deformations of Planar Equilateral Polygons with a Constant Index
Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 1, pp. 138-159.

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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. 
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E. S. Zaputryaeva. Deformations of Planar Equilateral Polygons with a Constant Index. Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 1, pp. 138-159. http://geodesic.mathdoc.fr/item/MAIS_2013_20_1_a9/

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