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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 6, Pages 1367–1378 (Mi smj2167)  
This article is cited in 1 scientific paper (total in 1 paper)

Study of flexible algorithmically 1-parametric polyhedra and description of a set of rigid embedded polyhedra

I. G. Maksimov

Krasnogorsk, Moscow reg.
Full-text PDF (369 kB) Citations (1)
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Abstract: Some formulas are given that describe how the lengths of diagonals of algorithmically 1-para-metric polyhedra and their volumes depend on the bending parameter. By way of application, we present flexibility equations and prove the rigidity of an embedded gluing of two suspensions (bipyramids).
Keywords: flexible polyhedron, bending, volume of a polyhedron.
Received: 04.09.2009
Revised: 18.01.2010
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 6, Pages 1081–1090
DOI: https://doi.org/10.1007/s11202-010-0106-4
Bibliographic databases:
Document Type: Article
UDC: 514.113+514.772.35
Language: Russian
Citation: I. G. Maksimov, “Study of flexible algorithmically 1-parametric polyhedra and description of a set of rigid embedded polyhedra”, Sibirsk. Mat. Zh., 51:6 (2010), 1367–1378; Siberian Math. J., 51:6 (2010), 1081–1090
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
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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