Abstract
In this paper, explicit integral volume formulas for arbitrary compact hyperbolic octahedra with mm2-symmetry are obtained in terms of dihedral angles. Also, we provide an algorithm to compute the volume of such octahedra in spherical spaces.
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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 61, Proceedings of the Crimean Autumn Mathematical School-Symposium, 2016.
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Krasnov, V.A., Khisyametdinova, E.S. On the Volume Formula for a Hyperbolic Octahedron with mm2-Symmetry. J Math Sci 239, 644–653 (2019). https://doi.org/10.1007/s10958-019-04319-5
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DOI: https://doi.org/10.1007/s10958-019-04319-5