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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 1078–1087
DOI: https://doi.org/10.17377/semi.2017.14.091
(Mi semr848)
 

This article is cited in 1 scientific paper (total in 1 paper)

Geometry and topology

Volume polynomial for polyhedra of hexahedral type

D. I. Sabitova, I. Kh. Sabitovb

a Skolkovo Institute of Science and Technology, Skolkovo Innovation Center, Nobel street, 3, 143026, Moscow, Russia
b Lomonosov Moscow State University, Leninskie Gory, 119991, Moscow, Russia
Full-text PDF (152 kB) Citations (1)
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Abstract: We present an algorithm for the explicit construction of the canonical volume polynomials for polyhedra combinatorially isomorphic to a hexahedron and realize them in the case of some special values of edge lengths.
Keywords: hexahedral-type polyhedra, volume, polynomial equation.
Received September 4, 2017, published October 23, 2017
Bibliographic databases:
Document Type: Article
UDC: 514.772.35
MSC: 53Cxx
Language: Russian
Citation: D. I. Sabitov, I. Kh. Sabitov, “Volume polynomial for polyhedra of hexahedral type”, Sib. Èlektron. Mat. Izv., 14 (2017), 1078–1087
Citation in format AMSBIB
\Bibitem{SabSab17}
\by D.~I.~Sabitov, I.~Kh.~Sabitov
\paper Volume polynomial for polyhedra of hexahedral type
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 1078--1087
\mathnet{http://mi.mathnet.ru/semr848}
\crossref{https://doi.org/10.17377/semi.2017.14.091}
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