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The 825 Smallest Right-Angled Hyperbolic Polyhedra

2015/12/06 by Taiyo Inoue, Inoue, Taiyo · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Computational Geometry and Mesh Generation #math.GT #math.MG #msc:57M99

paper · pdf · doi:10.48550/arxiv.1512.01761

27 pages. Lots of figures. The programs used here are free and available on either the Internet or by request ([email protected])

arxiv created 2015/12/06 · arxiv updated 2015/12/08

Abstract

An algorithm for determining the list of smallest volume right-angled hyperbolic polyhedra in dimension 3 is described. This algorithm has been implemented on computer using the program Orb to compute volumes, and the first 825 polyhedra in the list have been determined.

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