Pregled bibliografske jedinice broj: 393173
Infinite Serie of Extreme Delaunay polytope
Infinite Serie of Extreme Delaunay polytope // European Journal of combinatorics, 26 (2005), 129-132 doi:10.1016/j.ejc.2003.11.002 (međunarodna recenzija, članak, znanstveni)
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Naslov
Infinite Serie of Extreme Delaunay polytope
Autori
Dutour, Mathieu
Izvornik
European Journal of combinatorics (0195-6698) 26
(2005);
129-132
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Series ; Lattice ; Delaunay polytopes
Sažetak
A Delaunay polytope P is said to be 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 DGL92 ; 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 n >= 6 we build an extreme Delaunay polytope of dimension n.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
