Tiling iterated function systems

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

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Tiling iterated function systems

Date

2024

Authors

Barnsley, Louisa F.

Barnsley, Michael F.

Vince, Andrew

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.