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Fractal Tilings from Iterated Function Systems

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Barnsley, Michael; vince, Andrew

Description

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.

dc.contributor.authorBarnsley, Michael
dc.contributor.authorvince, Andrew
dc.date.accessioned2015-12-13T22:15:34Z
dc.date.available2015-12-13T22:15:34Z
dc.identifier.issn0179-5376
dc.identifier.urihttp://hdl.handle.net/1885/70468
dc.description.abstractA 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.
dc.publisherSpringer
dc.sourceDiscrete and Computational Geometry
dc.titleFractal Tilings from Iterated Function Systems
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume51
dc.date.issued2014
local.identifier.absfor010104 - Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)
local.identifier.ariespublicationU3488905xPUB2320
local.type.statusPublished Version
local.contributor.affiliationBarnsley, Michael, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationvince, Andrew, University of Florida
local.bibliographicCitation.issue3
local.bibliographicCitation.startpage729
local.bibliographicCitation.lastpage752
local.identifier.doi10.1007/s00454-014-9589-2
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
dc.date.updated2015-12-11T07:18:28Z
local.identifier.scopusID2-s2.0-84899936274
local.identifier.thomsonID000335753000014
CollectionsANU Research Publications

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