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math.CO2016★ 7 cited
Three-dimensional lattice polytopes with two interior lattice points
Gabriele Balletti, Alexander M. Kasprzyk
We classify the three-dimensional lattice polytopes with two interior lattice points. Up to unimodular equivalence there are 22,673,449 such polytopes. This classification allows u…
math.CO2016
On the maximum dual volume of a canonical Fano polytope
Gabriele Balletti, Alexander M. Kasprzyk, Benjamin Nill
We give an upper bound on the volume vol(P*) of a polytope P* dual to a d-dimensional lattice polytope P with exactly one interior lattice point, in each dimension d. This bound, e…