Abstract
In this paper, we consider a tiling generated by a Pisot unit number of degree $d \geq 3$ 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.
Citation
Ali Messaoudi. "Combinatorial and geometrical properties of a class of tilings." Bull. Belg. Math. Soc. Simon Stevin 12 (4) 625 - 633, December 2005. https://doi.org/10.36045/bbms/1133793349
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