TY - JOUR
T1 - Fractal Tilings from Iterated Function Systems
AU - Barnsley, Michael
AU - Vince, Andrew
PY - 2014/4
Y1 - 2014/4
N2 - 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.
AB - 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.
KW - Attractor
KW - Fractal
KW - Fractal transformation
KW - Iterated function system
KW - Tiling
UR - http://www.scopus.com/inward/record.url?scp=84899936274&partnerID=8YFLogxK
U2 - 10.1007/s00454-014-9589-2
DO - 10.1007/s00454-014-9589-2
M3 - Article
SN - 0179-5376
VL - 51
SP - 729
EP - 752
JO - Discrete and Computational Geometry
JF - Discrete and Computational Geometry
IS - 3
ER -