On the volume of hyperbolic octahedra with nontrivial symmetry

DOI10.1007/s10958-016-2805-2zbMath1359.51014OpenAlexW2328579128MaRDI QIDQ289742

V. A. Krasnov

Publication date: 31 May 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-2805-2

zbMATH Keywords

dihedral angleDarevnin-Mednykh's formulahyperbolic octahedron

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Length, area and volume in real or complex geometry (51M25) Elementary problems in hyperbolic and elliptic geometries (51M09)

Related Items (1)

A trick for calculating volumes of non-Euclidean polyhedra

Cites Work

• A volume formula for hyperbolic tetrahedra in terms of edge lengths
• On the volume of a hyberbolic and spherical tetrahedron
• On the volume of a spherical octahedron with symmetries
• Characterizing the Delaunay decompositions of compact hyperbolic surfaces
• On the volume formula for hyperbolic tetrahedra
• The Regge symmetry is a scissors congruence in hyperbolic space
• Some applications of the formula for the volume of an octahedron
• A formula for the volume of a hyperbolic tetrahedon
• Hyperbolic geometry: The first 150 years
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