Tiling iterated function systems

Louisa F. Barnsley, Michael F. Barnsley and Andrew Vince

Chaos, Solitons & Fractals, 2024, vol. 182, issue C

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 maybe a complicated unbounded subset of RM.

Keywords: Tilings; Fractal geometry; Iterated function systems (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:182:y:2024:i:c:s096007792400359x

DOI: 10.1016/j.chaos.2024.114807

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