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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 5, Pages 1175–1183 (Mi smj2596)  
This article is cited in 1 scientific paper (total in 1 paper)

On a class of inflexible polyhedra

I. Kh. Sabitov

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (309 kB) Citations (1)
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Abstract: We consider a class of polyhedra that we call pyramids and prove under some simple but rather general conditions on the extrinsic structure that the pyramids are inflexible. Moreover, this inflexibility property can be established also in multidimensional spaces of arbitrary constant curvature under appropriate conditions.
Keywords: pyramid, main vertex, existence, topological genus, condition on the extrinsic structure, flexibility, inflexibility.
Received: 12.02.2014
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 5, Pages 961–967
DOI: https://doi.org/10.1134/S0037446614050140
Bibliographic databases:
Document Type: Article
UDC: 514.74
Language: Russian
Citation: I. Kh. Sabitov, “On a class of inflexible polyhedra”, Sibirsk. Mat. Zh., 55:5 (2014), 1175–1183; Siberian Math. J., 55:5 (2014), 961–967
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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