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Sib. Èlektron. Mat. Izv., 2019, Volume 16, Pages 439–448 (Mi semr1068)  

Geometry and topology

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

D. I. Sabitova, I. Kh. Sabitovb

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

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.

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

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Bibliographic databases:

Document Type: Article
UDC: 514.772
MSC: 53C
Received January 31, 2019, published March 29, 2019

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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