Math 2.0

Convex and discrete geometry Polytopes and polyhedra Concept

Lattice polytope

Summary

A lattice polytope, also called an integral polytope, is a convex polytope whose vertices all have integer coordinates. Counting the integer points in such a polytope and in its dilates leads to the Ehrhart polynomial. Lattice polytopes link convex geometry with combinatorics, with integer programming and, through their normal fans, with toric varieties.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Integral_polytope
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TagF39N9NBFPZ
URIm2://F39N9NBFPZ
Kindconcept
WritingW0 stub
MSC52B20, 11P21
SpecializesConvex polytope
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