Properties of parallelotopes equivalent to Voronoi's conjecture

A parallelotope is a polytope whose translation copies fill space without gaps and intersections by interior points. Voronoi conjectured that each parallelotope is an affine image of the Dirichlet domain of a lattice, which is a Voronoi polytope. We give several properties of a parallelotope and pro...

Ausführliche Beschreibung

Bibliographische Detailangaben

Hauptverfasser:	Deza, Michel, Grishukhin, Viacheslav
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Combinatorics Mathematics - Metric Geometry
Online-Zugang:	Volltext bestellen
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!