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arXiv 2015-08-17 DOI 10.1134/S0037446615040011 0 views

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

Alexandrov, Victor

Original · EN

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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