Two-sided bounds for the volume of right-angled hyperbolic polyhedra

DOI10.1134/S0001434611010032zbMath1252.51014arXiv1104.3437OpenAlexW2090580610MaRDI QIDQ650373

Dušan D. Repovš, Andrei Vesnin

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.3437

zbMATH Keywords

dodecahedronLobachevskii spaceLöbell polyhedronright-angled hyperbolic polyhedronvolume estimate for hyperbolic polyhedra

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Three-dimensional polytopes (52B10) Polyhedra and polytopes; regular figures, division of spaces (51M20) Length, area and volume in real or complex geometry (51M25)

Related Items (3)

Exploring the List of Smallest Right-Angled Hyperbolic Polyhedra ⋮ On the area of a trihedral on a hyperbolic plane of positive curvature ⋮ Fundamental group and covering properties of hyperbolic surgery manifolds

Cites Work

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• Organizing volumes of right-angled hyperbolic polyhedra
• Volume estimates for equiangular hyperbolic Coxeter polyhedra
• Volumes of hyperbolic Löbell 3-manifolds
• Three-dimensional hyperelliptic manifolds and Hamiltonian graphs
• Löbell manifolds revised
• TWO-SIDED ASYMPTOTIC BOUNDS FOR THE COMPLEXITY OF SOME CLOSED HYPERBOLIC THREE-MANIFOLDS
• Computing arithmetic invariants for hyperbolic reflection groups

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