On the volume formula for a~hyperbolic octahedron with $\mathrm{mm2}$-symmetry
Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 61 (2016), pp. 103-114
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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.
@article{CMFD_2016_61_a3,
author = {V. A. Krasnov and E. Sh. Khisyametdinova},
title = {On the volume formula for a~hyperbolic octahedron with $\mathrm{mm2}$-symmetry},
journal = {Contemporary Mathematics. Fundamental Directions},
pages = {103--114},
publisher = {mathdoc},
volume = {61},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CMFD_2016_61_a3/}
}
TY - JOUR
AU - V. A. Krasnov
AU - E. Sh. Khisyametdinova
TI - On the volume formula for a~hyperbolic octahedron with $\mathrm{mm2}$-symmetry
JO - Contemporary Mathematics. Fundamental Directions
PY - 2016
SP - 103
EP - 114
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%D 2016
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V. A. Krasnov; E. Sh. Khisyametdinova. On the volume formula for a~hyperbolic octahedron with $\mathrm{mm2}$-symmetry. Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 61 (2016), pp. 103-114. http://geodesic.mathdoc.fr/item/CMFD_2016_61_a3/