Looking carefully at the pictures of multiway system evolution on previous pages [204, 205, 206, 207], a feature one notices is that the same sequences often occur on several different steps. Yet it is a consequence of the basic setup for multiway systems that whenever any particular sequence occurs, it must always lead to exactly the same behavior.

So this means that the complete evolution can be represented as in the picture at the top of the facing page, with each sequence shown explicitly only once, and any sequence generated more than once indicated just by an arrow going back to its first occurrence.

Collections of states generated at particular steps in the evolution of various multiway systems. Rule (k) was shown on the previous page; rules (d) and (f) on page 205.

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