Geodesic
The volume of a trirectangular hyperbolic tetrahedron
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 1, pp. 275-284

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We consider a three-parameter family of tetrahedra in the hyperbolic space, which three edges at one vertex are pairwise orthogonal. It is convenient to determine such tetrahedra by the lengths of these edges. We obtain relatively simple formulas for them expressing the volume and the surface area. This allows us to find normalized volume and investigate its asymptotics.
Keywords: hyperbolic volume, normalized volume, Poincaré upper half-space model, hyperbolic tetrahedron, infinite cone.
Mots-clés : trirectangular tetrahedron 
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N. Abrosimov; S. Stepanishchev. The volume of a trirectangular hyperbolic tetrahedron. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 1, pp. 275-284. http://geodesic.mathdoc.fr/item/SEMR_2023_20_1_a20/