The Regge symmetry, confocal conics, and the Schläfli formula
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Author
Akopyan, ArseniyISTA 
;
Izmestiev, Ivan
;
Izmestiev, IvanDepartment
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.
Publishing Year
Date Published
2019-10-01
Journal Title
Bulletin of the London Mathematical Society
Publisher
London Mathematical Society
Volume
51
Issue
5
Page
765-775
ISSN
eISSN
IST-REx-ID
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Open Access
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arXiv 1903.04929
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