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- W2004417607 abstract "Abstract We study the connectedness of Pisot dual tilings. It is shown that each tile generated by a Pisot unit of degree 3 is arcwise connected. However surprisingly, we found families of disconnected Pisot dual tiles of degree 4 which have infinitely many connected components. Also we give a simple necessary and sufficient condition for the connectedness of the Pisot dual tiles of degree 4. As a byproduct, we give a complete classification of the β expansion of 1 for quartic Pisot units. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)" @default.
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- W2004417607 date "2007-12-01" @default.
- W2004417607 modified "2023-09-24" @default.
- W2004417607 title "Connectedness of number theoretical tilings (dual tilings generated by Pisot units of degree 3 and 4)" @default.
- W2004417607 doi "https://doi.org/10.1002/pamm.200701054" @default.
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