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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 4, Pages 892–910 (Mi smj2371)  
This article is cited in 1 scientific paper (total in 1 paper)

Description of the combinatorial structure of algorithmically $1$-parametric polyhedra of spherical type

I. G. Maksimov

Ministry for Education of the Moscow Region, Krasnogorsk, Russia
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Abstract: We consider one of the problems of the theory of flexible polyhedra – the problem about the number of the parameters that must be defined additionally to the edge lengths for a polyhedron of a given combinatorial type in order to exclude its possible bendings. We give a description for the combinatorial structure of polyhedra of spherical type for which this number is equal to $1$.
Keywords: flexible polyhedron, bending, algorithm.
Received: 04.09.2009
Revised: 14.11.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 4, Pages 718–731
DOI: https://doi.org/10.1134/S0037446612040131
Bibliographic databases:
Document Type: Article
UDC: 514.113+514.772.35
Language: Russian
Citation: I. G. Maksimov, “Description of the combinatorial structure of algorithmically $1$-parametric polyhedra of spherical type”, Sibirsk. Mat. Zh., 53:4 (2012), 892–910; Siberian Math. J., 53:4 (2012), 718–731
Citation in format AMSBIB
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\pages 892--910
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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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