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

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. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.