| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 10118397 | European Journal of Combinatorics | 2005 | 4 Pages |
Abstract
A Delaunay polytope P is said to be extreme if the only (up to isometries) affine bijective transformations f of Rn, for which f(P) is again a Delaunay polytope, are the homotheties. This notion was introduced in (Sets, Graphs and Numbers, Budapest (Hungary) (1991); Colloquia Mathematica Societatis János Bolyai 60 (1992) 157); also some examples in dimension 1, 6, 7, 15, 16, 22, 23 were constructed and it was proved there, that in dimension less than 6 there are no extreme Delaunay polytopes, except the segment. In this note, for every nâ¥6 we build an extreme Delaunay polytope EDn of dimension n.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Mathieu Dutour,