Automatic generation of aesthetic patterns on fractal tilings by means of dynamical systems
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1145-1158 |
| Journal / Publication | Chaos, Solitons and Fractals |
| Volume | 24 |
| Issue number | 4 |
| Publication status | Published - May 2005 |
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Abstract
A fractal tiling or f-tiling is a tiling which possesses self-similarity and the boundary of which is a fractal. In this paper, we investigate the classification of fractal tilings with kite-shaped and dart-shaped prototiles from which three new f-tilings are found. Invariant mappings are constructed for the creation of aesthetic patterns on such tilings. A modified convergence time scheme is described, which reflects the rate of convergence of various orbits and at the same time, enhances the artistic appeal of a generated image. A scheme based on the frequency of visit at a pixel is used to generate chaotic attractors. © 2004 Elsevier Ltd. All rights reserved.
Research Area(s)
- Dynamical system, Fractal tiling, Invariant mapping
Citation Format(s)
Automatic generation of aesthetic patterns on fractal tilings by means of dynamical systems. / Chung, K. W.; Ma, H. M.
In: Chaos, Solitons and Fractals, Vol. 24, No. 4, 05.2005, p. 1145-1158.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
