Combinatorial and geometrical properties of a class of tilings

Bibliographic Details
Main Author: Messaoudi, Ali [UNESP]
Publication Date: 2005
Format: Article
Language: eng
Source: Repositório Institucional da UNESP
Download full: http://dx.doi.org/10.36045/bbms/1133793349
http://hdl.handle.net/11449/224764
Summary: 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 tilingsAutomataPisot numberTilingIn 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.Departamento de Matemática IBILCE-UNESP, Rua Cristovão Colombo, 2265, Sao Jose do Rio Preto, SPDepartamento de Matemática IBILCE-UNESP, Rua Cristovão Colombo, 2265, Sao Jose do Rio Preto, SPUniversidade Estadual Paulista (UNESP)Messaoudi, Ali [UNESP]2022-04-28T20:08:13Z2022-04-28T20:08:13Z2005-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article625-633http://dx.doi.org/10.36045/bbms/1133793349Bulletin of the Belgian Mathematical Society - Simon Stevin, v. 12, n. 4, p. 625-633, 2005.1370-1444http://hdl.handle.net/11449/22476410.36045/bbms/11337933492-s2.0-33744989684Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengBulletin of the Belgian Mathematical Society - Simon Stevininfo:eu-repo/semantics/openAccess2024-11-01T14:26:54Zoai:repositorio.unesp.br:11449/224764Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462025-03-28T14:22:30.868253Repositório 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, Ali [UNESP]
Automata
Pisot number
Tiling
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, Ali [UNESP]
author_facet Messaoudi, Ali [UNESP]
author_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Messaoudi, Ali [UNESP]
dc.subject.por.fl_str_mv Automata
Pisot number
Tiling
topic Automata
Pisot number
Tiling
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 2005-01-01
2022-04-28T20:08:13Z
2022-04-28T20:08:13Z
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 http://dx.doi.org/10.36045/bbms/1133793349
Bulletin of the Belgian Mathematical Society - Simon Stevin, v. 12, n. 4, p. 625-633, 2005.
1370-1444
http://hdl.handle.net/11449/224764
10.36045/bbms/1133793349
2-s2.0-33744989684
url http://dx.doi.org/10.36045/bbms/1133793349
http://hdl.handle.net/11449/224764
identifier_str_mv Bulletin of the Belgian Mathematical Society - Simon Stevin, v. 12, n. 4, p. 625-633, 2005.
1370-1444
10.36045/bbms/1133793349
2-s2.0-33744989684
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Bulletin of the Belgian Mathematical Society - Simon Stevin
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.source.none.fl_str_mv Scopus
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 repositoriounesp@unesp.br
_version_ 1834483018354393088

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