Volume polynomial for polyhedra of hexaedral type

DOI10.17377/semi.2017.14.091zbMath1380.52017MaRDI QIDQ1685397

Idzhad Kh. Sabitov, Denis I. Sabitov

Publication date: 13 December 2017

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

volumepolynomial equationhexahedral-type polyhedra

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Software, source code, etc. for problems pertaining to convex and discrete geometry (52-04) Length, area, volume and convex sets (aspects of convex geometry) (52A38)

Related Items (2)

Volume polynomials for polyhedra combinatorially isometric to \(n\)-prisms in the cases \(n=5,6,7\) ⋮ Volume polynomial for polyhedra of hexaedral type

Cites Work

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• A generalized Heron-Tartaglia formula and some of its consequences
• A canonical polynomial for the volume of a polyhedron
• A minimal-degree polynomial for determining the volume of an octahedron from its metric

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