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 journalpeer-review

15 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)1145-1158
Journal / PublicationChaos, Solitons and Fractals
Volume24
Issue number4
Publication statusPublished - May 2005

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