On the sum of the Voronoi polytope of a lattice with a zonotope

Mathieu Dutour Sikiric, Viatcheslav Grishukhin, Alexander Magazinov

A parallelotope $P$ is a polytope that admits a facet-to-facet tiling of space by translation copies of $P$ along a lattice. The Voronoi cell $P_V(L)$ of a lattice $L$ is an exampl…