Polyhedra of genus 3 with 10 vertices and minimal coordinates

2006/04/02 by Stefan Hougardy, Hougardy, Stefan, Frank H. Lutz +3
Mathematics · #52B70 #57Q15 #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG) #math.CO #math.MG #msc:52B70 #msc:57Q15

paper · pdf · doi:10.48550/arxiv.math/0604017

3 pages, 2 figures, submitted to Electronic Geometry Models

arxiv created 2006/04/02 · arxiv updated 2009/12/01

Abstract

We give coordinate-minimal geometric realizations in general position for 17 of the 20 vertex-minimal triangulations of the orientable surface of genus 3 in the 5x5x5-cube.

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