Geodesic
The Regge symmetry is a scissors congruence in hyperbolic space
Mohanty, Yana1
1Department of Mathematics, University of California at San Diego, La Jolla, CA 92093-0112, USA
Algebraic and Geometric Topology, Tome 3 (2003) no. 1, pp. 1-31
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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.

DOI : 10.2140/agt.2003.3.1
Keywords: Regge symmetry, hyperbolic tetrahedron, scissors congruence

Mohanty, Yana  1

1 Department of Mathematics, University of California at San Diego, La Jolla, CA 92093-0112, USA 
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Mohanty, Yana. The Regge symmetry is a scissors congruence in hyperbolic space. Algebraic and Geometric Topology, Tome 3 (2003) no. 1, pp. 1-31. doi: 10.2140/agt.2003.3.1

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[4] J Murakami, M Yano, On the volume of a hyperbolic and spherical tetrahedron, Comm. Anal. Geom. 13 (2005) 379

[5] J Roberts, Classical $6j$–symbols and the tetrahedron, Geom. Topol. 3 (1999) 21

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