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The volume of a trirectangular hyperbolic tetrahedron

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Publication:6587383
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DOI10.33048/semi.2023.20.022zbMath1545.51012MaRDI QIDQ6587383

Nikolaii A. Abrosimov, Stepan Stepanishchev

Publication date: 14 August 2024

Published in: Unnamed Author (Search for Journal in Brave)




zbMATH Keywords

infinite conehyperbolic volumehyperbolic tetrahedronnormalized volumetrirectangular tetrahedronPoincaré upper half-space model


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)





Cites Work

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  • On the volume of a hyberbolic and spherical tetrahedron
  • Hyperbolic octahedron with \(mmm\)-symmetry
  • Elementary geometry in hyperbolic space
  • Ricerche di estensionimetria negli spazi metrico-projettivi.
  • On the volume formula for hyperbolic tetrahedra
  • Area and volume in non-Euclidean geometry
  • Zur Begründung der elementaren Inhaltslehre in der hyperbolischen Ebene
  • A formula for the volume of a hyperbolic tetrahedon
  • Explicit volume formula for a hyperbolic tetrahedron in terms of edge lengths
  • Volumes of Polytopes in Spaces of Constant Curvature




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