Polytopes.Lattice.SmallVolume
type: Item
instance of: polyDB collection
author: Andreas Kretschmer
author: Gabriele Balletti
contributed by: Benjamin Nill
contributed by: Andreas Kretschmer
cites work: Enumeration of lattice polytopes by their volume
cites work: Thin polytopes: Lattice polytopes with vanishing local $h^*$-polynomial
cites work: Enumeration of Lattice Polytopes by Their Volume
source code repository: small-lattice-polytopes
source code repository: thin-lattice-polytopes
polyDB ID: Polytopes.Lattice.SmallVolume
maintained by: Andreas Paffenholz
MaRDI profile type: Dataset
description: 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.
description: Item from PolyDB: This collection contains all lattice polytopes of low volume in dimensions up to 6.