John Meier and Clifford A. Reiter, Fractal Representations of Cayley Graphs, Computers & Graphics, 20 1 (1996) 163-170.

The visualization of Cayley graphs for many groups is possible using 3-D models. Most of our examples are Cayley graphs where we exploit automatic structures to efficiently produce computer images of the Cayley graphs. The infinite groups are visualied using fractal rescaling so that the infinite graph projects into a bounded region. Varying the color choice for these fractal representations of the Cayley graphs allows the visual regocnition of features such as positivity of the total exponents of words.

See also: · A paper looking at Word systems giving Sierpinski fractals. [abstract] · A couple of [Examples] · Group structure visualization software: [Group Explorer]