Fig. 5
The fractal geometry of next-neighbor interactions are shown for a cellular automaton lattice model for Euclidian dimensions S = 1 (left), S = 2 (middle), and S = 3 (right). The unstable node is shaded with grey, and the next neighbor nodes in white. The total number nn of nodes involved in a local redistribution rule scales as nn = 2S + 1 with the Euclidean dimension S.
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