Volumes of Polytopes in Spaces of Constant Curvature

DOI10.1007/978-1-4939-0781-6_1zbMath1320.52013arXiv1302.4919OpenAlexW1681978145MaRDI QIDQ5261875

Alexander Mednykh, Nikolaĭ Vladimirovich Abrosimov

Publication date: 8 July 2015

Published in: Rigidity and Symmetry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.4919

zbMATH Keywords

constant curvature spacesBrahmagupta formulavolumes of polyhedraSforza formulaSeidel problem

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Polyhedra and polytopes; regular figures, division of spaces (51M20) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Length, area and volume in real or complex geometry (51M25) Symmetry properties of polytopes (52B15) Elementary problems in hyperbolic and elliptic geometries (51M09)

Related Items (5)

On the asymptotics of volume for non-Euclidean simplices ⋮ Baxter permuton and Liouville quantum gravity ⋮ On the volume of a hyperbolic octahedron with \(\bar 3\)-symmetry ⋮ On application of contemporary proof of the Sforza formula to computation of volumes of hyperbolic tetrahedra of special kind ⋮ Volumes of polyhedra in non-Euclidean spaces of constant curvature

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