Patterns with Cyclic and Dihedral Evolving Symmetry Generated by Dynamical Systems

doi:10.3969/j.issn.1006-2475.2012.01.016

Computer and Modernization ›› 2012, Vol. 1 ›› Issue (1): 61-63.doi: 10.3969/j.issn.1006-2475.2012.01.016

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Patterns with Cyclic and Dihedral Evolving Symmetry Generated by Dynamical Systems

LU Jian, WU Hai-yan, TU Guang-yi

College of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, China

Received:2011-02-24 Revised:1900-01-01 Online:2012-01-10 Published:2012-01-10

Abstract

Abstract: This paper investigates the invariant function method for generating images with cyclic and dihedral evolving symmetry by means of dynamical systems. By taking chaotic functions with cyclic and dihedral evolving symmetry to be iterating functions and constructing their corresponding invariant functions, visually fascinating patterns with such symmetries can be generated in this way. The method presented here provides a novel approach for devising planar symmetric patterns.

Key words: cyclic symmetry, dihedral symmetry, dynamical systems, invariant functions, evolving symmetry

CLC Number:

TP391.41

LU Jian;WU Hai-yan;TU Guang-yi. Patterns with Cyclic and Dihedral Evolving Symmetry Generated by Dynamical Systems[J]. Computer and Modernization, 2012, 1(1): 61-63.

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Patterns with Cyclic and Dihedral Evolving Symmetry Generated by Dynamical Systems

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