2003/01/24 by Yana Mohanty
Mathematics · #Algebra over a field #Computer science #Congruence (geometry) #Constructive #Constructive proof #Discrete mathematics #Geometric and Algebraic Topology #Geometry #Hyperbolic space #Mathematical Dynamics and Fractals #Mathematics #Mathematics and Applications #Pure mathematics #Space (punctuation) #Symmetry (geometry) #Tetrahedron #math.GT #math.MG #msc:51M10 #msc:51M20
paper · pdf · doi:10.2140/agt.2003.3.1
published as Algebr. Geom. Topol. 3 (2003) 1-31 · Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-1.abs.html
openalex publication_date 2003/01/24 · arxiv created 2003/01/27 · arxiv updated 2014/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.