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

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

3 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)3249-3267
Journal / PublicationInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume14
Issue number9
Publication statusPublished - Sept 2004

Abstract

A new and fast algorithm is presented in this paper for the automatic generation of aesthetic patterns on aperiodic tilings by means of dynamical systems. The Penrose tilings are used as illustration of which invariant mappings are constructed for the creation of striking patterns. A modified convergence time scheme is described to enhance the artistic appeal of generated images. This algorithm can be used to create a great variety of exotic patterns with various aperiodicities.

Research Area(s)

  • Aperiodic tiling, Dynamical system, Invariant mapping, Penrose tiling

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