Non-Euclidean geometry and volumes of hyperbolic polyhedra

DOI10.1007/S005910050019zbMATH Open0881.51018OpenAlexW2090594583MaRDI QIDQ1360240

Ruth Kellerhals

Publication date: 22 January 1998

Published in: Mathematische Semesterberichte (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005910050019

zbMATH Keywords

Hilbert's third problemDehn invarianthyperbolic and elliptic 3-spacevolumes of 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) Dissections and valuations (Hilbert's third problem, etc.) (52B45)

Related Items (4)

Volumes in hyperbolic 5-space ⋮ Nikolai Ivanovich Lobachevskii (on the bicentenary of his birth) ⋮ Dissecting orthoschemes into orthoschemes ⋮ Die Dehnsche Zerlegungsinvariante für hyperbolische Polyederbausteine. (The Dehn partition invariant for hyperbolic orthoschemes.)

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