D. I. Sabitov, I. Kh. Sabitov, “Volume polynomials for polyhedra combinatorially isometric to $n$-prisms in the cases $n=5,6,7$”, Sib. Èlektron. Mat. Izv., 16 (2019), 439

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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 439–448
DOI: https://doi.org/10.33048/semi.2019.16.026 (Mi semr1068)

Geometry and topology

Volume polynomials for polyhedra combinatorially isometric to $n$-prisms in the cases $n=5,6,7$

D. I. Sabitov^a, I. Kh. Sabitov^b

^a Skolkovo Institute of Science and Technology, Skolkovo Innovation Center, 3, Nobel str., Moscow, 143026, Russia
^b Lomonosov Moscow State University, Leninskie Gory, Moscow, 119991, Russia

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DOI: https://doi.org/10.33048/semi.2019.16.026

Abstract: We present an algorithm for an explicit construction of the canonical volume polynomials for polyhedra combinatorially isomorphic to an $n$-prism in the cases $n=5,6$ and $n=7$ and realize them in the case of some special values of edge lengths.

Keywords: $n$-prism-type polyhedra, volume, polynomial equation.

Received January 31, 2019, published March 29, 2019

Bibliographic databases:

Document Type: Article

UDC: 514.772

MSC: 53C

Language: Russian

Citation: D. I. Sabitov, I. Kh. Sabitov, “Volume polynomials for polyhedra combinatorially isometric to $n$-prisms in the cases $n=5,6,7$”, Sib. Èlektron. Mat. Izv., 16 (2019), 439–448

Citation in format AMSBIB

\Bibitem{SabSab19}

\by D.~I.~Sabitov, I.~Kh.~Sabitov

\paper Volume polynomials for polyhedra combinatorially isometric to $n$-prisms in the cases $n=5,6,7$

\jour Sib. \`Elektron. Mat. Izv.

\yr 2019

\vol 16

\pages 439--448

\mathnet{http://mi.mathnet.ru/semr1068}

\crossref{https://doi.org/10.33048/semi.2019.16.026}

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