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arXiv · 1508.03960

The set of flexible nondegenerate polyhedra of a prescribed combinatorial structure is not always algebraic

Victor Alexandrov
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Abstract

We construct some example of a closed nondegenerate nonflexible polyhedron $P$ in Euclidean 3-space that is the limit of a sequence of nondegenerate flexible polyhedra each of which is combinatorially equivalent to $P$. This implies that the set of flexible nondegenerate polyhedra combinatorially equivalent to $P$ is not algebraic.

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Victor Alexandrov. 2015-08-17. The set of flexible nondegenerate polyhedra of a prescribed combinatorial structure is not always algebraic. https://doi.org/10.1134/s0037446615040011

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