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Breakdown of unique cellular automaton, continued

More steps in the pattern shown above. Each successive page shows a total of 700 steps. The pattern continues to expand on the left forever, but only the part that fits across each page is shown. For a long time it is not clear how the right-hand part of the pattern will eventually look. But after 2780 steps, a fairly simple repetitive structure emerges. Note that to generate the pictures that follow requires applying the underlying cellular automaton rule for individual cells a total of about 12 million times.


Image Source Notebooks:

  • Wolfram Language source code for image on page 34

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