Title :
Voronoi L-types and hypermetrics
Author_Institution :
Ecole Normale Superieure, Paris, France
Abstract :
It is a survey/research lecture, on Voronoi and Delaunay polytopes of lattices in relation, especially, to the following problems: 1) Voronoi L-type domains and non-rigidity degree of lattices, 2) Hypermetric cone and non-rigidity degree of Delaunay polytopes, 3) Voronoi conjecture for tilings.
Keywords :
computational geometry; Delaunay polytopes; Voronoi L-types; Voronoi conjecture; Voronoi polytopes; hypermetric cone; hypermetrics; nonrigidity degree of lattices; tilings; Lattices;
Conference_Titel :
Voronoi Diagrams in Science and Engineering, 2007. ISVD '07. 4th International Symposium on
Conference_Location :
Glamorgan
Print_ISBN :
0-7695-2869-4
DOI :
10.1109/ISVD.2007.47
