On the volume of a spherical octahedron with symmetries

DOI10.1007/s10958-009-9531-yzbMath1187.51021OpenAlexW2084645654MaRDI QIDQ844412

Mauricio Godoy Molina, Nikolaĭ Vladimirovich Abrosimov, Alexander Mednykh

Publication date: 19 January 2010

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

Full work available at URL: https://doi.org/10.1007/s10958-009-9531-y

zbMATH Keywords

volumebellow conjecturespherical octahedron

Mathematics Subject Classification ID

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 (8)

On the volume of hyperbolic octahedra with nontrivial symmetry ⋮ Flat connections in three-manifolds and classical Chern-Simons invariant ⋮ Volume formula for a \(\mathbb Z_2\)-symmetric spherical tetrahedron through its edge lengths ⋮ Volumes of convex polyhedra in hyperbolic spaces ⋮ A volume formula for \(\mathbb Z_2\)-symmetric spherical tetrahedra ⋮ On the volume of a hyperbolic octahedron with \(\bar 3\)-symmetry ⋮ On the volume formula for a hyperbolic octahedron with mm2-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 hyberbolic and spherical tetrahedron
• On the volume of hyperbolic polyhedra
• On the volume formula for hyperbolic tetrahedra
• On the stability of periodic impulsive systems
• On hyperbolic polyhedra arising as convex cores of quasi-Fuchsian punctured torus groups
• A formula for the volume of a hyperbolic tetrahedon
• Hyperbolic geometry: The first 150 years
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