Combinatorial and geometrical properties of a class of tilings

Detalhes bibliográficos
Autor(a) principal: Messaoudi, A.
Data de Publicação: 2005
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: https://projecteuclid.org/euclid.bbms/1133793349
http://hdl.handle.net/11449/37367
Resumo: In 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.
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spelling Combinatorial and geometrical properties of a class of tilingstilingautomataPisot numberIn 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.UNESP, IBILCE, Dept Matemat, BR-15054000 Sao Jose do Rio Preto, SP, BrazilUNESP, IBILCE, Dept Matemat, BR-15054000 Sao Jose do Rio Preto, SP, BrazilBelgian Mathematical Soc TriompheUniversidade Estadual Paulista (Unesp)Messaoudi, A.2014-05-20T15:27:22Z2014-05-20T15:27:22Z2005-10-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article625-633https://projecteuclid.org/euclid.bbms/1133793349Bulletin of the Belgian Mathematical Society-simon Stevin. Brussels: Belgian Mathematical Soc Triomphe, v. 12, n. 4, p. 625-633, 2005.1370-1444http://hdl.handle.net/11449/37367WOS:0002360216000142111365241513122Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengBulletin of the Belgian Mathematical Society - Simon Stevin0.4230,527info:eu-repo/semantics/openAccess2021-10-23T11:26:52Zoai:repositorio.unesp.br:11449/37367Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:03:06.075971Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Combinatorial and geometrical properties of a class of tilings
title Combinatorial and geometrical properties of a class of tilings
spellingShingle Combinatorial and geometrical properties of a class of tilings
Messaoudi, A.
tiling
automata
Pisot number
title_short Combinatorial and geometrical properties of a class of tilings
title_full Combinatorial and geometrical properties of a class of tilings
title_fullStr Combinatorial and geometrical properties of a class of tilings
title_full_unstemmed Combinatorial and geometrical properties of a class of tilings
title_sort Combinatorial and geometrical properties of a class of tilings
author Messaoudi, A.
author_facet Messaoudi, A.
author_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Messaoudi, A.
dc.subject.por.fl_str_mv tiling
automata
Pisot number
topic tiling
automata
Pisot number
description In 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.
publishDate 2005
dc.date.none.fl_str_mv 2005-10-01
2014-05-20T15:27:22Z
2014-05-20T15:27:22Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://projecteuclid.org/euclid.bbms/1133793349
Bulletin of the Belgian Mathematical Society-simon Stevin. Brussels: Belgian Mathematical Soc Triomphe, v. 12, n. 4, p. 625-633, 2005.
1370-1444
http://hdl.handle.net/11449/37367
WOS:000236021600014
2111365241513122
url https://projecteuclid.org/euclid.bbms/1133793349
http://hdl.handle.net/11449/37367
identifier_str_mv Bulletin of the Belgian Mathematical Society-simon Stevin. Brussels: Belgian Mathematical Soc Triomphe, v. 12, n. 4, p. 625-633, 2005.
1370-1444
WOS:000236021600014
2111365241513122
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Bulletin of the Belgian Mathematical Society - Simon Stevin
0.423
0,527
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 625-633
dc.publisher.none.fl_str_mv Belgian Mathematical Soc Triomphe
publisher.none.fl_str_mv Belgian Mathematical Soc Triomphe
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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