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Contemporary Mathematics. Fundamental Directions, 2016, Volume 61, Pages 103–114 (Mi cmfd303)  
On the volume formula for a hyperbolic octahedron with $\mathrm{mm2}$-symmetry

V. A. Krasnov, E. Sh. Khisyametdinova

RUDN University, 6 Miklukho-Maklaya st., Moscow, 117198 Russia
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Abstract: In this paper, explicit integral volume formulas for arbitrary compact hyperbolic octahedra with $\mathrm{mm2}$-symmetry are obtained in terms of dihedral angles. Also we give an algorithm for calculation of volume of such octahedra in spherical space.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.1974.2014/K
Received: 26.01.2016
Document Type: Article
UDC: 514.13+514.132
Language: Russian
Citation: V. A. Krasnov, E. Sh. Khisyametdinova, “On the volume formula for a hyperbolic octahedron with $\mathrm{mm2}$-symmetry”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 61, PFUR, M., 2016, 103–114
Citation in format AMSBIB
\Bibitem{KraKhi16}
\by V.~A.~Krasnov, E.~Sh.~Khisyametdinova
\paper On the volume formula for a~hyperbolic octahedron with $\mathrm{mm2}$-symmetry
\inbook Proceedings of the Crimean autumn mathematical school-symposium
\serial CMFD
\yr 2016
\vol 61
\pages 103--114
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd303}
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