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Combinatorial and geometrical properties of a class of tilings

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dc.contributor.authorMessaoudi, Ali [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2022-04-28T20:08:13Z
dc.date.available2022-04-28T20:08:13Z
dc.date.issued2005-01-01
dc.description.abstractIn this paper, we consider a tiling generated by a Pisot unit number of degree d ≥ 3 which has a finite expansible property. We compute the states of a finite automaton which recognizes the boundary of the central tile. We also prove in the case d = 3 that the interior of each tile is simply connected.en
dc.description.affiliationDepartamento de Matemática IBILCE-UNESP, Rua Cristovão Colombo, 2265, Sao Jose do Rio Preto, SP
dc.description.affiliationUnespDepartamento de Matemática IBILCE-UNESP, Rua Cristovão Colombo, 2265, Sao Jose do Rio Preto, SP
dc.format.extent625-633
dc.identifierhttp://dx.doi.org/10.36045/bbms/1133793349
dc.identifier.citationBulletin of the Belgian Mathematical Society - Simon Stevin, v. 12, n. 4, p. 625-633, 2005.
dc.identifier.doi10.36045/bbms/1133793349
dc.identifier.issn1370-1444
dc.identifier.scopus2-s2.0-33744989684
dc.identifier.urihttp://hdl.handle.net/11449/224764
dc.language.isoeng
dc.relation.ispartofBulletin of the Belgian Mathematical Society - Simon Stevin
dc.sourceScopus
dc.subjectAutomata
dc.subjectPisot number
dc.subjectTiling
dc.titleCombinatorial and geometrical properties of a class of tilingsen
dc.typeArtigo
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas