The Regge symmetry is a scissors congruence in hyperbolic space

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.

Keywords

Regge symmetry, hyperbolic tetrahedron, scissors congruence

Mathematical Subject Classification 2000

Primary: 51M10

Secondary: 51M20

References

Forward citations

Publication

Received: 8 October 2002

Revised: 22 December 2002

Accepted: 10 January 2003

Published: 24 January 2003

Authors

Yana Mohanty
Department of Mathematics University of California at San Diego La Jolla, CA 92093-0112 USA

Volume 3, issue 1 (2003)

Yana Mohanty