The volume of a spherical trirectangular tetrahedron
The volume of a spherical trirectangular tetrahedron
Siberian Electronic Mathematical Reports, 22, 1, pp. 892-904 (2025)
Abstract:
We consider a three-parameter family of tetrahedra in the spherical space, in which three edges at one vertex are pairwise orthogonal. We obtain formulae for their dihedral angles and volume in terms of edge lengths.
Keywords: trirectangular tetrahedron, spherical space, dihedral angle, volume, Coxeter tetrahedron