Tiling Iterated Function Systems

This paper presents a detailed symbolic approach to the study of self-similar tilings. It uses properties of addresses associated with graph-directed iterated function systems to establish conjugacy properties of tiling spaces. Tiles may be fractals and the tiled set may be a complicated unbounded s...

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Hauptverfasser: Barnsley, Michael F, Barnsley, Louisa F, Vince, Andrew
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper presents a detailed symbolic approach to the study of self-similar tilings. It uses properties of addresses associated with graph-directed iterated function systems to establish conjugacy properties of tiling spaces. Tiles may be fractals and the tiled set may be a complicated unbounded subset of $\mathbb{R}^{M}$.
DOI:10.48550/arxiv.2002.03538