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arXiv · 2002.03538

Tiling Iterated Function Systems

Michael F. Barnsley·Louisa F. Barnsley·Andrew Vince
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Abstract

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 $\mathbb{R}^{M}$.

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Michael F. Barnsley, Louisa F. Barnsley, Andrew Vince. 2020-02-10. Tiling Iterated Function Systems. https://arxiv.org/abs/2002.03538

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