Flexible cross-polytopes in spaces of constant curvature
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Publication:2514585
DOI10.1134/S0081543814060066zbMath1320.52015arXiv1312.7608OpenAlexW2964297513MaRDI QIDQ2514585
Publication date: 3 February 2015
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.7608
(n)-dimensional polytopes (52B11) Polyhedra and polytopes; regular figures, division of spaces (51M20)
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Cites Work
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- Generalization of Sabitov's theorem to polyhedra of arbitrary dimensions
- A counterexample to the rigidity conjecture for polyhedra
- The volume as a metric invariant of polyhedra
- The Bellows conjecture
- A new example of a flexible polyhedron
- Sabitov polynomials for volumes of polyhedra in four dimensions
- Lipschitzian Mappings and Total Mean Curvature of Polyhedral Surfaces. I
- A generalized Heron-Tartaglia formula and some of its consequences
- A flexible disk with a handle
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