The Regge symmetry, confocal conics, and the Schläfli formula

DOI10.1112/blms.12276zbMath1445.51011arXiv1903.04929OpenAlexW2963209324MaRDI QIDQ5205439

Ivan Izmestiev, Arseniy V. Akopyan

Publication date: 11 December 2019

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.04929

zbMATH Keywords

spherical geometryhyperbolic geometryEuclidean geometrytetrahedronRegge symmetry

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20)

Related Items (3)

Tetrahedra with congruent facet pairs ⋮ Unnamed Item ⋮ Rational elliptic surfaces and the trigonometry of tetrahedra

Cites Work

• \(6j\) symbols for \(u_q(\mathfrak{sl}_2)\) and non-Euclidean tetrahedra
• Classical \(6j\)-symbols and the tetrahedron
• The Regge symmetry is a scissors congruence in hyperbolic space
• Area and volume in non-Euclidean geometry
• Conditions necessaires et suffisantes pour l'équivalence des polyedres de l'espace euclidien à trois dimensions
• Ivory’s theorem revisited
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