Clifford A. Reiter, Attractors with Dueling Symmetry, Computers & Graphics, 21 2 (1997) 263-271.

Two functions of the plane having distinct symmetries are intertwined using a sinew function to create a function of three variables having different symmetries in different regions of space. The attractor resulting from the iteration of this function can be visualized using a nonlinear semi-inverted projection to the plane. This projection makes the dueling symmetries of the attractor apparent. Schemes similar to genetic algorithms can be used to search parameter space for interesting examples of attractors with these dueling symmetries.

See also: · A Gallery of Chaotic Attractor images. · A List of Chaotic Attractor publications.