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arXiv · 1903.04929

The Regge symmetry, confocal conics, and the Schläfli formula

Arseniy Akopyan·Ivan Izmestiev
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Abstract

The Regge symmetry is a set of remarkable relations between two tetrahedra whose edge lengths are related in a simple fashion. It was first discovered as a consequence of an asymptotic formula in mathematical physics. Here we give a simple geometric proof of Regge symmetries in Euclidean, spherical, and hyperbolic geometry.

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Arseniy Akopyan, Ivan Izmestiev. 2019-03-13. The Regge symmetry, confocal conics, and the Schläfli formula. https://arxiv.org/abs/1903.04929

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