Combinatorial and geometrical properties of a class of tilings
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Data
2005-01-01
Autores
Messaoudi, Ali [UNESP]
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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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Automata, Pisot number, Tiling
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Bulletin of the Belgian Mathematical Society - Simon Stevin, v. 12, n. 4, p. 625-633, 2005.