With some invaluable help from fractalforums I have now been able to implement the Icosohedral and Dodcahedral variations to the Kaleidoscopic IFS Fractals in Visions Of Chaos. There is an enormous amount of potential for new structures using these relatively simple mathematic methods.
See my Flickr Gallery for more high resolution samples.
Here are a few example movies of what these fractals can do. These are created by slowly changing/morphing the rotation values. They all must be watched at full resolution to really see all the finer fractal details.