Symmetric Chaos in the Complex Plane

This Demonstration is an animation of the symmetric icons first seen in the beautiful book Symmetry in Chaos: A Search for Pattern in Mathematics, Art and Nature by M. Field and M. Golubitsky and developed in Complex Analysis with Mathematica, Chapter 7, "Symmetric chaos in the complex plane". Further information about the latter book is at its web page. You should also go to Field's web page on symmetric chaos. This particular animation is tailored to showing the creation of symmetry through birfucation. You can also read about this in The Mathematica Journal (see the related links).