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The contact polytope of the leech lattice

Discrete and Computational Geometry (2010) 44(4) 904-911
DOI: 10.1007/s00454-010-9266-z
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Abstract

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. © 2010 The Author(s).

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Sikirić, M. D., Schürmann, A., & Vallentin, F. (2010). The contact polytope of the leech lattice. Discrete and Computational Geometry, 44(4), 904–911. https://doi.org/10.1007/s00454-010-9266-z

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