Fractal Tilings from Iterated Function Systems

被引：0
|
作者：
Michael Barnsley
Andrew Vince
机构：
[1] The Australian National University,Department of Mathematics
[2] University of Florida,undefined
来源：
Discrete & Computational Geometry | 2014年 / 51卷
关键词：
Tiling; Fractal; Iterated function system; Attractor; Fractal transformation; 28A80; 05B45; 52C22;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：729 / 752
页数：23
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