Automatic generation of colorful patterns with wallpaper symmetries from dynamics

1. Armstrong, M.A.: Groups and Symmetry. Springer, Berlin Heidelberg New York (1988)

   MATH  Google Scholar 

2. Carter, N.C., Eagles, R.L., Hahn, A.C., Grimes, S.M., Reiter, C.A.: Chaotic attractors with discrete planar symmetries. Chaos Solitons Fract. 9(12), 2031–2054 (1998)

   Article  MATH  MathSciNet  Google Scholar 

3. Chung, K.W., Wang, B.N.: Automatic generation of aesthetic patterns on aperiodic tilings by means of dynamical systems. Int. J. Bifurcation Chaos 14(9), 3249–3267 (2004)

   Article  MATH  MathSciNet  Google Scholar 

4. Dumont, J.P., Heiss, F.J., Jones, K.C., Reiter, C.A., Vislocky, L.M.: N-Dimensional chaotic attractors with crystallographic symmetry. Chaos Solitons Fract. 12(4), 761–784 (2001)

   Article  MATH  MathSciNet  Google Scholar 

5. Field, M.: Designer chaos. Comput. Aided Des. 33(5), 349–365 (2001)

   Article  MathSciNet  Google Scholar 

6. Field, M., Golubitsky, M.: Symmetry in Chaos. Oxford University Press, New York (1992)

   MATH  Google Scholar 

7. Jones, K.C., Reiter, C.A.: Chaotic attractors with cyclic symmetry revisited. Comput. Graph. 24(2), 271–282 (2000)

   Article  Google Scholar 

8. Lu, J., Ye, Z.X., Zou, Y.R., Ye, R.S.: Orbit trap rendering methods for generating artistic images with crystallographic symmetries. Comput. Graph. 29(5), 787–794 (2005)

   Article  Google Scholar 

9. Pickover, C.A.: Computers, Patterns, Chaos and Beauty. St. Martin’s, New York (1990)

   Google Scholar 

10. Robinson, C.: Dynamical Systems. CRC, Boca Raton, FL (1994)

    Google Scholar 

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