Always interested in ways to visualize models, I just seen Richard Milton's version of John Conway's Game of Life on a globe model. Richard has has written a short tutorial on how it was done (click here). The the Java applet allows you to explore how different configurations of automata evolve around the globe.
To view the applet click here. Another similar model (shown below) was created by Ventrella to celebrate Earth Day. Click here to see more details about the model.