# Enumeration of Lattice 3-Polytopes by Their Number of Lattice Points

@article{Blanco2018EnumerationOL, title={Enumeration of Lattice 3-Polytopes by Their Number of Lattice Points}, author={M. Blanco and F. Santos}, journal={Discrete & Computational Geometry}, year={2018}, volume={60}, pages={756-800} }

We develop a procedure for the complete computational enumeration of lattice 3-polytopes of width larger than one, of which there are finitely many for each given number of lattice points. We also implement an algorithm for doing this and enumerate those with at most 11 lattice points (there are 216,453 of them). In order to achieve this we prove that if P is a lattice 3-polytope of width larger than one and with at least seven lattice points then it fits in one of three categories that we call… CONTINUE READING

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