Nathan C. Carter, Richard L. Eagles, Stephen M. Grimes, Andrew C. Hahn, and Clifford A. Reiter, Chaotic Attractors with Discrete Planar Symmetry, Chaos, Solitons & Fractals, 9 12 (1998) 2031-2054; errata10 7 (1999) 1261-1264.

Chaotic behavior is known to be compatible with symmetry and illustrations are constructed using functions equivariant with respect to the desired symmetries. Earlier investigations determined families of equivariant functions for a few of the discrete symmetry groups in the plane; those results are extended to all the discrete symmetry groups of the plane. This includes consideration of the all the frieze and two-dimensional crystallographic groups.

See also: · Manuscript [Preprint] · Examples in [APL97 Gallery] · Generalization/variation in [Abstract] · A Gallery of Chaotic Attractor images. · A List of Chaotic Attractor publications.