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arXiv · 1007.3948

Volume formula for a $\mathbb{Z}_2$-symmetric spherical tetrahedron through its edge lengths

Alexander Kolpakov·Alexander Mednykh·Marina Pashkevich
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Abstract

The present paper considers volume formulae, as well as trigonometric identities, that hold for a tetrahedron in 3-dimensional spherical space of constant sectional curvature +1. The tetrahedron possesses a certain symmetry: namely rotation through angle $\pi$ in the middle points of a certain pair of its skew edges.

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Alexander Kolpakov, Alexander Mednykh, Marina Pashkevich. 2010-07-22. Volume formula for a $\mathbb{Z}_2$-symmetric spherical tetrahedron through its edge lengths. https://doi.org/10.1007/s11512-011-0148-2

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