Application of Contemporary Proof of the Sforza Formula to Computation of Volumes of Hyperbolic Tetrahedra of Special Kind

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Abstract

In this paper, we use the contemporary proof (by Abrosimov and Mednykh) of the Sforza formula for volume of an arbitrary non-Euclidean tetrahedron to derive new formulas that express volumes of hyperbolic tetrahedra of special kind (orthoschemes and tetrahedra with the symmetry group S 4) via dihedral angles.

About the authors

V. A. Krasnov

Peoples’ Friendship University of Russia (RUDN University)

Author for correspondence.
Email: krasnov_va@rudn.university
Moscow, Russia

References

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