Ehrhart theory

Dilate a polytope, count the lattice points, and a polynomial appears. Draw your own lattice polygon below, or choose one of the slices of the cube that are small enough to see. Email me if you find any errors or want some specific function added.

Lattice points

Counting function — click a row

Ehrhart series

Companion to Graded Ehrhart theory for hypersimplices, arXiv:2608.27438. The algebraic side of the same paper (matchings, the harmonic algebra, maximal tableaux) is at graph demos. All of the demos are listed here.