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The volume of a spherical trirectangular tetrahedron Full article

Journal Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304
Output data Year: 2025, Volume: 22, Number: 1, Pages: 892-904 Pages count : 13 DOI: 10.33048/semi.2025.22.056
Tags trirectangular tetrahedron, spherical space, dihedral angle, volume, Coxeter tetrahedron
Authors Abrosimov N.V. 1,2 , Bayzakova B.P. 3
Affiliations
1 Sobolev Institute of Mathematics
2 Tomsk State University
3 Novosibirsk State University

Funding (1)

1 Министерство науки и высшего образования РФ 075-02-2025-1728/2

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.
Cite: Abrosimov N.V. , Bayzakova B.P.
The volume of a spherical trirectangular tetrahedron
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2025. V.22. N1. P.892-904. DOI: 10.33048/semi.2025.22.056 WOS
Dates:
Submitted: Nov 8, 2024
Published print: Aug 28, 2025
Published online: Aug 28, 2025
Identifiers:
Web of science: WOS:001553852100001
Citing: Пока нет цитирований
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