Exercises for Chaos Under Control

Chapter 9: How Can Automata Behave?

35. [C] Use 1DIM to determine the Wolfram Class of the 1-dimensional 5-cell neighborhood outer totalistic automata below

36.[C] Consider the one-dimensional 3-cell neighborhood automaton with the rule

(a) Using 1DIM, determine the limit to which the pattern converges from a random starting configuration. What is the Wolfram class of this attractor? Answer

(b) Explain why this is the solution.

(c) Are there any starting configurations not leading to this attractor? Answer

37.[C](a) Repeat exercise 36 for the rule or .

(b) Repeat exercise 36 for the rule .

38. Compute Langton's l for the automaton with outer totalistic rule . Answer

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