Polytopes.Lattice.SmallVolume

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Dataset:161319



MaRDI QIDQ161319

Item from PolyDB: This collection contains all lattice polytopes of low volume in dimensions up to 6.

Andreas Kretschmer, Gabriele Balletti

Source code repository: https://github.com/gabrieleballetti/small-lattice-polytopes



This collection contains all lattice polytopes of low volume in dimensions up to 6.
Specifically, it contains all lattice simplices in dimensions 2 and 3 with volume at most 1000, and all lattice polytopes in dimensions 2 and volume at most 50, dimension 3 and volume at most 36, dimension 4 and volume at most 24, dimension 5 and volume at most 20, and dimension 6 and volume at most 16
The information whether a polytope is thin or trivially thin has only been computed for the 4-dimensional polytopes and the 5- and 6-dimensional simplices.