Planar Frieze and Crystallographic Patterns with a Polar Spin from Dynamics

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Abstract:

Building upon our previous work for automatically generating colorful patterns with frieze and Crystallographic symmetries, we explore converting these symmetric patterns into fascinating images having cyclic and dihedral symmetry via a polar spin technique from dynamical systems. The methods can be used to automatically produce a great variety of artistic patterns.

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119-122

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November 2011

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] K.W. Chung, B.N. Wang. Automatic generation of aesthetic patterns on aperiodic tilings by means of dynamical systems, Int. J. Bifurcat. Chaos. 19 (2004) 3249-3267.

DOI: 10.1142/s0218127404011314

Google Scholar

[2] M. Field, M. Golubitsky. Symmetry in chaos, Oxford University Press, New York (1992).

Google Scholar

[3] N.C. Carter, R.L. Eagles, A.C. Hahn, S.M. Grimes, C.A. Reiter. Chaotic attractors with discrete planar symmetries, Chaos. Soliton. Fract. 12 (1998) 2031-(2054).

DOI: 10.1016/s0960-0779(97)00157-4

Google Scholar

[4] N.C. Carter, S.M. Grimes, C.A. Reiter. Frieze and wallpaper chaotic attractors with a polar spin, Comput. Graph. 22 (1998) 756-779.

DOI: 10.1016/s0097-8493(98)00097-1

Google Scholar

[5] M. Field. Designer chaos, Computer Aided Design 33 (2001) 349-365.

DOI: 10.1016/s0010-4485(00)00127-5

Google Scholar

[6] J. Lu, Z.X. Ye, Y.R. Zou. Automatic generation of colorful patterns with wallpaper symmetries from dynamics, Visual. Comput. 23 (2007) 445-449.

DOI: 10.1007/s00371-007-0116-9

Google Scholar

[7] J. Lu, Y,R. Zou, W.X. Li. Colorful patterns with discrete planar symmetries from dynamical systems, Fractals 18 (2011) 35-43.

DOI: 10.1142/s0218348x10004671

Google Scholar