Dataset of small lattice polytopes

Resulting dataset from the paper

Balletti, G. Enumeration of Lattice Polytopes by Their Volume. Discrete Comput Geom 65, 1087–1122 (2021). [doi, arXiv].

It contains the following complete datasets of lattice polytopes, see the paper for additional details

• 2-simplices up to volume 1000
• 3-simplices up to volume 1000
• 4-simplices up to volume 24
• 5-simplices up to volume 20
• 6-simplices up to volume 16
• 2-polytopes up to volume 50
• 3-polytopes up to volume 36
• 4-polytopes up to volume 24
• 5-polytopes up to volume 20
• 6-polytopes up to volume 16
• Smooth 2-polytopes up to volume 50
• Smooth 3-polytopes up to volume 36
• Smooth 4-polytopes up to volume 24
• Smooth 5-polytopes up to volume 20
• Smooth 6-polytopes up to volume 16