Automatic generation of aesthetic patterns on fractal tilings by means of dynamical systems

K.W. Chung and H.M. Ma

Chaos, Solitons & Fractals, 2005, vol. 24, issue 4, 1145-1158

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.

Keywords: Fractal tiling; Dynamical system; Invariant mapping (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:24:y:2005:i:4:p:1145-1158

DOI: 10.1016/j.chaos.2004.09.115

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