 |
|
Next: Richard J. Gardner - Up: Convex Geometry / Géométrie Previous: BORIS DEKSTER - A
Robert Erdahl - Dicings, Zonotopes, and Voronoi's conjecture on parallelohedra
| ROBERT ERDAHL, Department of Mathematics and Statistics, Queen's University, Kingston, Ontario K7L 3N6, Canada | |
| Dicings, Zonotopes, and Voronoi's conjecture on parallelohedra |
In 1909 Voronoi conjectured that if some selection of translates of a polytope forms a facet-to-facet tiling of Euclidean space, then the polytope is affinely equivalent to the Voronoi polytope for some lattice. I show that Voronoi's conjecture holds for the special case where the parallelohedron is a zonotope.
eo@camel.math.ca