The boundary of a class of Rauzy fractals
DOI:
https://doi.org/10.5540/03.2015.003.01.0013Palavras-chave:
Rauzy fractal, Tiling, AutomatonResumo
In this work we give arithmetical properties for the boundary of a class of Rauzy fractals Ra given by the polynomial x3 − ax2 + x − 1, a ≥ 3. We give an automaton that generates this boundary and we prove that it is homeomorphic to S1.
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