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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 1, Pages 60–70 (Mi zvmmf4812)  
This article is cited in 3 scientific papers (total in 3 papers)

Volume increasing isometric deformations of polyhedra

G. A. Samarin

119992 Moscow, Leninskie gory, MSU, Faculty of Mechanics and Mathematics
Full-text PDF (274 kB) Citations (3)
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Abstract: We prove that any bounded polyhedron in 3 dimensional space can be isometrically deformed so as to enclose greater volume.
Key words: polyhedron, development, realization, isometric deformation, volume.
Received: 10.10.2008
Revised: 17.11.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 1, Pages 54–64
DOI: https://doi.org/10.1134/S0965542510010070
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: English
Citation: G. A. Samarin, “Volume increasing isometric deformations of polyhedra”, Zh. Vychisl. Mat. Mat. Fiz., 50:1 (2010), 60–70; Comput. Math. Math. Phys., 50:1 (2010), 54–64
Citation in format AMSBIB
\Bibitem{Sam10}
\by G.~A.~Samarin
\paper Volume increasing isometric deformations of polyhedra
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2010
\vol 50
\issue 1
\pages 60--70
\mathnet{http://mi.mathnet.ru/zvmmf4812}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2681135}
\transl
\jour Comput. Math. Math. Phys.
\yr 2010
\vol 50
\issue 1
\pages 54--64
\crossref{https://doi.org/10.1134/S0965542510010070}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-76649120601}
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  • https://www.mathnet.ru/eng/zvmmf/v50/i1/p60
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:239
    Full-text PDF :99
    References:46
    First page:3
     
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