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Artículo
An aperiodic tiles machine
dc.creator | Cáceres González, José | |
dc.creator | Márquez Pérez, Alberto | |
dc.date.accessioned | 2016-02-09T11:12:31Z | |
dc.date.available | 2016-02-09T11:12:31Z | |
dc.date.issued | 2002 | |
dc.identifier.citation | Cáceres González, J. y Márquez Pérez, A. (2002). An aperiodic tiles machine. Computational Geometry, 23, 171-182. | es |
dc.identifier.uri | http://hdl.handle.net/11441/34382 | |
dc.description.abstract | The results we introduce in this work lead to get an algorithm which produces aperiodic sets of tiles using Voronoi diagrams. This algorithm runs in optimal worst-case time O(nlogn). Since a wide range of new examples can be obtained, it could shed some new light on non-periodic tilings. These examples are locally isomorphic and exhibit the 5-fold symmetry which appears in Penrose tilings and quasicrystals. Moreover, we outline a similar construction using Delaunay triangulations and propose some related open problems. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Computational Geometry, 23 (2), 171-182. | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Penrose tilings | es |
dc.subject | Matching rules | es |
dc.subject | Local isomorphism | es |
dc.subject | Voronoi diagram | es |
dc.subject | Aperiodic prototiles | es |
dc.title | An aperiodic tiles machine | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.identifier.doi | http://dx.doi.org/10.1016/S0925-7721(01)00060-8 | es |
dc.journaltitle | Computational Geometry | es |
dc.publication.volumen | 23 | es |
dc.publication.initialPage | 171 | es |
dc.publication.endPage | 182 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/34382 |
Ficheros | Tamaño | Formato | Ver | Descripción |
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An aperiodic tiles.pdf | 309.8Kb | [PDF] | Ver/ | |