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Dutour Sikirić, Mathieu [Author]; Schürmann, Achill [Author]; Vallentin, Frank [Author]

The contact polytope of the leech lattice

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  • Media type: E-Book
  • Title: The contact polytope of the leech lattice
  • Contributor: Dutour Sikirić, Mathieu [Author]; Schürmann, Achill [Author]; Vallentin, Frank [Author]
  • imprint: Oberwolfach-Walke: MFO, 2009
  • Published in: Oberwolfach preprints ; 2009,18
  • Extent: Online-Ressource
  • Language: English
  • DOI: 10.14760/OWP-2009-18
  • Identifier:
  • Keywords: Leech lattice ; contact polytope ; Conway groups ; Voronoi cell
  • Origination:
  • Footnote:
  • Description: The contact polytope of a lattice is the convex hull of its shortest vectors. In this paper we classify the facets of the contact polytope of the Leech lattice up to symmetry. There are 1, 197, 362, 269, 604, 214, 277, 200 many facets in 232 orbits.
  • Access State: Open Access