A sequence of views of the evolution of a mobile automaton, showing how a network of causal relationships between updating events can be created. This network provides a very simple model for spacetime in the universe. Picture (a) is essentially the standard representation of mobile automaton evolution that I have used in this book. Picture (b) includes gray blobs to indicate updating events. Picture (c) merges cells that are not being updated. Picture (d) emphasizes the role of vertical stripes as connections between updating events. Pictures (e) through (g) show how a network can be formed with nodes corresponding to updating events. Pictures (h) and (i) demonstrate that with the particular underlying rule used here, a highly regular network is produced.

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From Stephen Wolfram: A New Kind of Science [citation]