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Fractal Tilings from Iterated Function Systems

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Date

2014

Authors

Barnsley, Michael
vince, Andrew

Journal Title

Journal ISSN

Volume Title

Publisher

Springer

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.

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Citation

URI

http://hdl.handle.net/1885/70468

Collections

Open Access Research

Source

Discrete and Computational Geometry

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1007/s00454-014-9589-2

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