{ "id": "math/0301318", "version": "v1", "published": "2003-01-27T20:19:30.000Z", "updated": "2003-01-27T20:19:30.000Z", "title": "The Regge symmetry is a scissors congruence in hyperbolic space", "authors": [ "Yana Mohanty" ], "comment": "Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-1.abs.html", "journal": "Algebr. Geom. Topol. 3 (2003) 1-31", "categories": [ "math.GT", "math.MG" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2003-01-27T20:19:30.000Z" } ], "analyses": { "subjects": [ "51M10", "51M20" ], "keywords": [ "hyperbolic space", "scissors congruence", "regge symmetry", "leibons construction", "general hyperbolic tetrahedron" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }