On the volume of a hyperbolic octahedron with \(\bar 3\)-symmetry

DOI10.1134/S0081543815010010zbMath1341.52022OpenAlexW2008328180MaRDI QIDQ492196

E. S. Kudina, Alexander Mednykh, Nikolaĭ Vladimirovich Abrosimov

Publication date: 20 August 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543815010010

zbMATH Keywords

symmetrypolyhedrahyperbolic volumeoctahedronhyperbolic polyhedron

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Three-dimensional polytopes (52B10)

Related Items (3)

The volume of a compact hyperbolic antiprism ⋮ The volume of a spherical antiprism with \(S_{2n}\) symmetry ⋮ Volumes of polyhedra in non-Euclidean spaces of constant curvature

Cites Work

• The volume of the Lambert cube in spherical space
• On the volume of a spherical octahedron with symmetries
• Hyperbolic octahedron with \(mmm\)-symmetry
• On the volume of hyperbolic polyhedra
• Some applications of the formula for the volume of an octahedron
• On hyperbolic polyhedra arising as convex cores of quasi-Fuchsian punctured torus groups
• Nikolai Ivanovich Lobachevskii (on the bicentenary of his birth)
• Volumes of Polytopes in Spaces of Constant Curvature
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