The volume of a spherical antiprism with \(S_{2n}\) symmetry

DOI10.33048/SEMI.2021.18.088zbMath1478.52010arXiv2110.12265OpenAlexW4205351345MaRDI QIDQ2058315

Bao Vuong, Nikolaĭ Vladimirovich Abrosimov

Publication date: 8 December 2021

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.12265

zbMATH Keywords

spherical volumerotation followed by reectionspherical antiprismspherical isosceles trapezoidsymmetry group \(S_{2n}\)

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) Symmetry properties of polytopes (52B15)

Cites Work

• Unnamed Item
• On the volume of a hyperbolic octahedron with \(\bar 3\)-symmetry
• Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin
• Hyperbolic volumes of Fibonacci manifolds
• The volume of a compact hyperbolic antiprism

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