The volume of a spherical trirectangular tetrahedron

The volume of a spherical trirectangular tetrahedron

Abrosimov N. V., Bayzakova B. P.

УДК 514.135 
DOI: 10.33048/semi.2025.22.056  
MSC 51M20, 51M25, 51M10


Аннотация: 

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. 

Ключевые слова: trirectangular tetrahedron, spherical space, dihedral angle, volume, Coxeter tetrahedron