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Polyhedra of genus 3 with 10 vertices and minimal coordinates

Stefan Hougardy, Frank H. Lutz, Mariano Zelke

math.MGarXiv:math/0604017

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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