The volume of a compact hyperbolic antiprism

DOI10.1142/S0218216518420105zbMath1405.52013arXiv1807.08297MaRDI QIDQ4646980

Bao Vuong, Nikolaĭ Vladimirovich Abrosimov

Publication date: 3 January 2019

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.08297

zbMATH Keywords

hyperbolic volumecompact hyperbolic antiprismrotation followed by reflectionsymmetry group \(S_{2 n}\)

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) Reflection groups, reflection geometries (51F15)

Related Items (1)

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

Cites Work

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

This page was built for publication: The volume of a compact hyperbolic antiprism