On the Volume Formula for a Hyperbolic Octahedron with mm2-Symmetry


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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.

About the authors

V. A. Krasnov

RUDN University

Author for correspondence.
Email: vladimir.krasnov3107@gmail.com
Russian Federation, Moscow

E. Sh. Khisyametdinova

RUDN University

Email: vladimir.krasnov3107@gmail.com
Russian Federation, Moscow

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