Infinite serie of extreme Delaunay polytopes
| dc.creator | Dutour, M. | |
| dc.date | 2003-05-14 | |
| dc.date.accessioned | 2026-07-07T04:57:59Z | |
| dc.date.available | 2026-07-07T04:57:59Z | |
| dc.description | A Delaunay polytope $P$ is said to be {\em extreme} if the only (up to isometries) affine bijective transformations $f$ of $\R^n$, for which $f(P)$ is again a Delaunay polytope, are the homotheties. This notion was introduced in \cite{DGL92}; also some examples in dimension 1, 6, 7, 15, 16, 22, 23 were constructed and it was proved that in dimension less than 6 there are no extreme Delaunay polytopes, except the segment. In this note, for every $n\geq 6$ we build an extreme Delaunay polytope $ED_n$ of dimension $n$. | |
| dc.description | 3 pages | |
| dc.identifier | https://arxiv.org/abs/math/0305196 | |
| dc.identifier | http://arxiv.org/abs/math/0305196 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67459 | |
| dc.subject | Metric Geometry | |
| dc.subject | Combinatorics | |
| dc.title | Infinite serie of extreme Delaunay polytopes | |
| dc.type | text |