I show that Voronoi's conjecture holds for the special case where the parallelotope is a zonotope. I also show that the Voronoi polytope for a lattice is a ...

I show that Voronoi's conjecture holds for the special case where the parallelotope is a zonotope. I also show that the Voronoi polytope for a lattice is a ...

The second Voronoi conjecture on parallelohedra for zonotopes · Properties of parallelotopes equivalent to Voronoi's conjecture · A Note on Space Tiling Zonotopes.

Bibliographic details on Zonotopes, Dicings, and Voronoi's Conjecture on Parallelohedra.

We prove the second Voronoi conjecture on parallelohedra for zonotope. We show that for a given face-to-face tiling of d-dimensional Euclidean space into ...

Missing: Dicings, | Show results with:Dicings,

It is shown that for a given face-to-face tiling of d-dimensional Euclidean space into parallel copies of zonotope Z there are d vectors, connecting centers ...

Apr 16, 2011 · Abstract. We prove the second Voronoi conjecture on parallelohedra for zonotope. We show that for a given face-to-face tiling of ...

Voronoǐ conjectured that every parallelotope is affinely equivalent to a Voronoǐ polytope. For some m, a parallelotope is denned by a set of m facet vectors ...

Here, by saying that a parallelohedron P is combinatorially Voronoi, we mean that P is combinatorially equivalent to a Dirichlet--Voronoi polytope for some ...