Tilings Generated by Ito-Sadahiro and Balanced (-ß)-numeration Systems

P. Ambrož

Abstract


Let β > 1 be a cubic Pisot unit. We study forms of Thurston tilings arising from the classical β-numeration system and from the (−β)-numeration system for both the Ito-Sadahiro and balanced definition of the (−β)-transformation.

Keywords


beta-expansion; negative base; tiling

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ISSN 1210-2709 (Print)
ISSN 1805-2363 (Online)
Published by the Czech Technical University in Prague