The Regge symmetry is a scissors congruence in hyperbolic space

Details The Regge symmetry is a scissors congruence in hyperbolic space The Regge symmetry is a scissors congruence in hyperbolic space

2003-01-27

arxiv.org/abs/math/0301318v1

Algebr. Geom. Topol. 3 (2003) 1-31

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-1.abs.html

Scientific paper

We give a constructive proof that the Regge symmetry is a scissors congruence
in hyperbolic space. The main tool is Leibon's construction for computing the
volume of a general hyperbolic tetrahedron. The proof consists of identifying
the key elements in Leibon's construction and permuting them.

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