Pregled bibliografske jedinice broj: 842174
The complete classification of five-dimensional Dirichlet-Voronoi polyhedra of translational lattices
The complete classification of five-dimensional Dirichlet-Voronoi polyhedra of translational lattices // Acta Crystallographica A-Foundation and Advances, 72 (2016), 673-683 doi:10.1107/S2053273316011682 (međunarodna recenzija, članak, znanstveni)
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Naslov
The complete classification of five-dimensional Dirichlet-Voronoi polyhedra of translational lattices
Autori
Dutour Sikirić, Mathieu ; Garber, Alexey ; Schuermann, Achill ; Waldmann, Clara
Izvornik
Acta Crystallographica A-Foundation and Advances (2053-2733) 72
(2016);
673-683
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Delaunay polytope ; L-type ; enumeration ; Dirichlet-Voronoi polytope ; Delaunay polytope ; secondary cones ; affine types ; contraction types ; topological mass formula ; combinatorial enumeration
Sažetak
This paper reports on the full classification of Dirichlet-Voronoi polyhedra and Delaunay subdivisions of five-dimensional translational lattices. A complete list is obtained of 110 244 affine types (L-types) of Delaunay subdivisions and it turns out that they are all combinatorially inequivalent, giving the same number of combinatorial types of Dirichlet- Voronoi polyhedra. Using a refinement of corresponding secondary cones, 181 394 contraction types are obtained. The paper gives details of the computer- assisted enumeration, which was verified by three independent implementations and a topological mass formula check.
Izvorni jezik
Engleski
Znanstvena područja
Metalurgija
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
- MEDLINE
