Automatic Generation of Aesthetic Patterns with the Use of Dynamical Systems

  • Krzysztof Gdawiec
  • Wiesław Kotarski
  • Agnieszka Lisowska
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6939)


The aim of this paper is to present some modifications of the orbits generation algorithm of dynamical systems. The well-known Picard iteration is replaced by the more general one – Krasnosielskij iteration. Instead of one dynamical system, a set of them may be used. The orbits produced during the iteration process can be modified with the help of a probabilistic factor. By the use of aesthetic orbits generation of dynamical systems one can obtain unrepeatable collections of nicely looking patterns. Their geometry can be enriched by the use of the three colouring methods. The results of the paper can inspire graphic designers who may be interested in subtle aesthetic patterns created automatically.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Krzysztof Gdawiec
    • 1
  • Wiesław Kotarski
    • 1
  • Agnieszka Lisowska
    • 1
  1. 1.Institute of Computer ScienceUniversity of SilesiaPoland

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