N. V. Abrosimov, E. S. Kudina, A. D. Mednykh, “On the volume of a hyperbolic octahedron with <nobr>$\overline3$</nobr>-symmetry”, Trudy Mat. Inst. Steklova, 2015, Volume 288,Pages <nobr>7

This article is cited in 8 papers

On the volume of a hyperbolic octahedron with $\overline3$-symmetry

N. V. Abrosimov^abc, E. S. Kudina^d, A. D. Mednykh^abc

^a Chelyabinsk State University, Chelyabinsk, Russia
^b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
^c Novosibirsk State University, Novosibirsk, Russia
^d Gorno-Altaisk State University, Gorno-Altaisk, Russia

Abstract: We consider hyperbolic octahedra with $\overline3$-symmetry. For these octahedra, we find existence conditions, establish relations between the edge lengths and dihedral angles, and obtain exact formulas for the volumes.

UDC: 514.132

Received in September 2014

DOI: 10.1134/S037196851501001X