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This article is cited in 2 scientific papers (total in 2 papers)
Geometry and topology
Volumes of hyperbolic hexahedra with $\overline{3}$-symmetry
N. V. Abrosimovab, E. S. Kudinac, A. D. Mednykhab a Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
b Novosibirsk State University, Pirogova str., 2, 630090, Novosibirsk, Russia
c Gorno-Altaisk State University, Socialisticheskaya str., 34, 649000, Gorno-Altaisk, Russia
Abstract:
We consider hyperbolic hexahedra with $\overline{3}$-symmetry. For these hexahedra, we find existence conditions, establish relations between the edge lengths and dihedral angles, and obtain exact formulas for the volumes.
Keywords:
hyperbolic hexahedron, $\overline{3}$-symmetry, hyperbolic volume.
Received December 4, 2016, published December 8, 2016
Citation:
N. V. Abrosimov, E. S. Kudina, A. D. Mednykh, “Volumes of hyperbolic hexahedra with $\overline{3}$-symmetry”, Sib. Èlektron. Mat. Izv., 13 (2016), 1150–1158
Linking options:
https://www.mathnet.ru/eng/semr740 https://www.mathnet.ru/eng/semr/v13/p1150
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