Volume of a doubly truncated hyperbolic tetrahedron

DOI10.1007/s00010-012-0153-yzbMath1273.51015arXiv1203.1061OpenAlexW1966295071MaRDI QIDQ2375916

Alexander Kolpakov, Jun Murakami

Publication date: 25 June 2013

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.1061

zbMATH Keywords

dilogarithmGram matrixhyperbolic tetrahedronvolume formulaLorentzian spacedoubly truncatedmildly truncatedprism truncated

Mathematics Subject Classification ID

Length, area and volume in real or complex geometry (51M25) Elementary problems in hyperbolic and elliptic geometries (51M09)

Related Items (2)

Adjoint twisted Reidemeister torsion and Gram matrices ⋮ Combinatorial Decompositions, Kirillov–Reshetikhin Invariants, and the Volume Conjecture for Hyperbolic Polyhedra

Uses Software

• Mathematica

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 hyperbolic polyhedra
• Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin
• Horoball packings for the Lambert-cube tilings in the hyperbolic 3-space
• On the volume formula for hyperbolic tetrahedra
• Volume formula for a \(\mathbb Z_2\)-symmetric spherical tetrahedron through its edge lengths
• Volume formulas for a spherical tetrahedron
• A formula for the volume of a hyperbolic tetrahedon
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