cyclic cellular automata converge to spirals in 2D. what happens in higher dimensions? this should be easy.
visualize 3D by making all but one of the colors (states) invisible and transparent. it will probably start looking like dust randomly moving about, but later perhaps evolve into shifting lines and planes. the one remaining color should be translucent to be able to see internal structures should anything interesting evolve.
there's a problem in that all objects in the world will be the same color, probably making it difficult to distinguish foreground from background. maybe things in the distance fade to black.
or, examine 2D cross sections.
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