Clifford A. Reiter, Chaotic Attractors with the Symmetry of the Dodecahedron, The Visual Computer, 15 (1999) 211-215.

Polynomial functions in three space that are equivariant with respect to the symmetries of a dodecahedron are determined. These are constructed using a sum of functions under changes of coordinates with respect to the group. Monte Carlo searches through parameter space lead to functions that are experimentally chaotic and which have visually appealing attractors. Ray tracing techniques allow for the three dimensional attractors to be rendered so that both their complexity and symmetry may be observed.

See also: · [An Example] · [Preprint] · A Gallery of Chaotic Attractor images. · A List of Chaotic Attractor publications.