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Pregled bibliografske jedinice broj: 578599

Perfect forms and the Voronoi algorithm


Dutour Sikirić, Mathieu
Perfect forms and the Voronoi algorithm // Colloquium Universität Rostock
Rostock, 2012. (plenarno, međunarodna recenzija, pp prezentacija, znanstveni)


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Naslov
Perfect forms and the Voronoi algorithm

Autori
Dutour Sikirić, Mathieu

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, pp prezentacija, znanstveni

Izvornik
Colloquium Universität Rostock / - , 2012

Skup
Colloquium Universität Rostock

Mjesto i datum
Rostock, 18.01.2012

Vrsta sudjelovanja
Plenarno

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
lattice; sphere packing; Ryshkov polyhedra; Voronoi algorithm.

Sažetak
The packing problem consists of considering how to pack sphere in Euclidean space with maximal density. The lattice packing problem is the subproblem where one considers the centers of the spheres to be on a lattice. We explain the Gram matrix formalism that allows to reformulate this problem as a matrix problem with the Hermite function. Then we give the definition of Perfect forms and the Voronoi algorithm that allow to enumerate them in small dimension. The full picture is given in dimension 2. Then we explain some extension of the existing theory to Humbert form and to the Rankin constant problem.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
098-0982705-2707 - Matematičko modeliranje cirkulacije i satelitska detekcija graničnih procesa (Kuzmić, Milivoj, MZOS ) ( POIROT)

Ustanove:
Institut "Ruđer Bošković", Zagreb

Profili:

Avatar Url Mathieu Dutour Sikirić (autor)


Citiraj ovu publikaciju:

Dutour Sikirić, Mathieu
Perfect forms and the Voronoi algorithm // Colloquium Universität Rostock
Rostock, 2012. (plenarno, međunarodna recenzija, pp prezentacija, znanstveni)
Dutour Sikirić, M. (2012) Perfect forms and the Voronoi algorithm. U: Colloquium Universität Rostock.
@article{article, author = {Dutour Sikiri\'{c}, Mathieu}, year = {2012}, keywords = {lattice, sphere packing, Ryshkov polyhedra, Voronoi algorithm.}, title = {Perfect forms and the Voronoi algorithm}, keyword = {lattice, sphere packing, Ryshkov polyhedra, Voronoi algorithm.}, publisherplace = {Rostock} }
@article{article, author = {Dutour Sikiri\'{c}, Mathieu}, year = {2012}, keywords = {lattice, sphere packing, Ryshkov polyhedra, Voronoi algorithm.}, title = {Perfect forms and the Voronoi algorithm}, keyword = {lattice, sphere packing, Ryshkov polyhedra, Voronoi algorithm.}, publisherplace = {Rostock} }




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