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Title: Isometric deformations of planar quadrilaterals with constant index

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.
Authors:
 [1]
  1. Moscow State Pedagogical University, Moscow (Russian Federation)
Publication Date:
OSTI Identifier:
22365153
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 205; Journal Issue: 5; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; DEFORMATION; INDEXES; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS