Geodesic
Isometric deformations of planar quadrilaterals with constant index
Sbornik. Mathematics, Tome 205 (2014) no. 5, pp. 663-683

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider isometric deformations (motions) of polygons (so-called carpenter's rule problem) in the case of self-intersecting polygons with the additional condition that the index of the polygon is preserved by the motion. We provide general information about isometric deformations of planar polygons and give a complete solution of the carpenter's problem for quadrilaterals. Bibliography: 17 titles.
Keywords: planar polygons, linkages, carpenter's rule problem. 
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     author = {E. S. Zaputryaeva},
     title = {Isometric deformations of planar quadrilaterals with constant index},
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     number = {5},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2014_205_5_a3/}
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E. S. Zaputryaeva. Isometric deformations of planar quadrilaterals with constant index. Sbornik. Mathematics, Tome 205 (2014) no. 5, pp. 663-683. http://geodesic.mathdoc.fr/item/SM_2014_205_5_a3/