Publicação
Combinatorial and geometrical properties of a class of tilings
| 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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| Autores principais: | Messaoudi, Ali |
| Assunto: | Automata Pisot number Tiling |
| Ano: | 2022 |
| País: | Brasil |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | IBICT |
| Idioma: | inglês |
| Origem: | Oasisbr |
| 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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