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.
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Schedule a callMore From: Bulletin of the Belgian Mathematical Society - Simon Stevin
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