A formula for the volume of a hyperbolic tetrahedon

DOI10.1070/RM2005v060n02ABEH000833zbMath1085.51503MaRDI QIDQ3372451

Alexander Mednykh, D. A. Derevnin

Publication date: 21 February 2006

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items (19)

On the volume growth of the hyperbolic regular \(n\)-simplex ⋮ On the volume of hyperbolic octahedra with nontrivial symmetry ⋮ Volume of a doubly truncated hyperbolic tetrahedron ⋮ On the volume of a spherical octahedron with symmetries ⋮ On the volume formula for hyperbolic 4-dimensional simplex ⋮ Volume formula for a \(\mathbb Z_2\)-symmetric spherical tetrahedron through its edge lengths ⋮ On integral expressions for volumes of hyperbolic tetrahedra ⋮ Volumes of convex polyhedra in hyperbolic spaces ⋮ Two-sided combinatorial volume bounds for non-obtuse hyperbolic polyhedra ⋮ A volume formula for \(\mathbb Z_2\)-symmetric spherical tetrahedra ⋮ Formulas on hyperbolic volume ⋮ Darboux coordinates, Yang-Yang functional, and gauge theory ⋮ The volume of the Lambert cube in spherical space ⋮ On the volumes of hyperbolic simplices ⋮ On the volume formula for a hyperbolic octahedron with mm2-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 ⋮ Hyperbolic 3-manifolds with geodesic boundary: enumeration and volume calculation ⋮ Explicit volume formula for a hyperbolic tetrahedron in terms of edge lengths

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