Fractal Tilings from Iterated Function Systems

Michael Barnsley; Andrew Vince

doi:10.1007/s00454-014-9589-2

Fractal Tilings from Iterated Function Systems

Michael Barnsley, Andrew Vince^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

A simple, yet unifying method is provided for the construction of tilings by tiles obtained from the attractor of an iterated function system (IFS). Many examples appearing in the literature in ad hoc ways, as well as new examples, can be constructed by this method. These tilings can be used to extend a fractal transformation defined on the attractor of a contractive IFS to a fractal transformation on the entire space upon which the IFS acts.

Original language	English
Pages (from-to)	729-752
Number of pages	24
Journal	Discrete and Computational Geometry
Volume	51
Issue number	3
DOIs	https://doi.org/10.1007/s00454-014-9589-2
Publication status	Published - Apr 2014

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Fractal Tilings from Iterated Function Systems

Abstract

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