D. I. Sabitov, I. Kh. Sabitov, “Volume polynomial for polyhedra of hexahedral type”, Sib. Èlektron. Mat. Izv., 2017, Volume 14,Pages <nobr>1078

This article is cited in 1 paper

Geometry and topology

Volume polynomial for polyhedra of hexahedral type

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

^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

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.

UDC: 514.772.35

MSC: 53Cxx

Received September 4, 2017, published October 23, 2017

DOI: 10.17377/semi.2017.14.091