Recognition of affine-equivalent polyhedra by their natural developments
arXiv:2106.13659 · doi:10.1134/S0037446623020027
Abstract
The classical Cauchy rigidity theorem for convex polytopes reads that if two convex polytopes have isometric developments then they are congruent. In other words, we can decide whether two polyhedra are isometric or not by using their developments only. In this article, we study a similar problem about whether it is possible, using only the developments of two convex polyhedra of Euclidean 3-space, to understand that these polyhedra are (or are not) affine-equivalent.
arXiv comment21 pages, 4 figures; this v4 is an English translation of v3 which is in Russian
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