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Polyhedra of Genus 2 with 10 Vertices and Minimal Coordinates

Please always quote using this URN: urn:nbn:de:0297-zib-9054
  • We give coordinate-minimal geometric realizations in general position of all 865 vertex-minimal triangulations of the orientable surface of genus 2 in the 4x4x4-cube.

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Metadaten
Author:Stefan Hougardy, Frank H. Lutz, Mariano Zelke
Document Type:ZIB-Report
Tag:minimal triangulations; polyhedral realizations; triangulated surfaces
MSC-Classification:52-XX CONVEX AND DISCRETE GEOMETRY / 52Bxx Polytopes and polyhedra / 52B70 Polyhedral manifolds
57-XX MANIFOLDS AND CELL COMPLEXES (For complex manifolds, see 32Qxx) / 57Qxx PL-topology / 57Q15 Triangulating manifolds
Date of first Publication:2006/03/02
Series (Serial Number):ZIB-Report (06-12)
ZIB-Reportnumber:06-12
Published in:Appeared in: Electronic Geometry Models, No. 2005.08.001 (2007). http://www.eg-models.de/2005.08.001/
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