Characteristic functions of rule 42. Although only 500 points are shown, the abscissa of each point is calculated with a 90 bit string resolution. All 500 points fall onto the left Bernoulli-shift map after one iteration.
Attractors choosing from the basin tree diagram of rule 42 for . (b) and (d) are also isles of Eden. There are a total of 29 attractors with the possible periods . The evolution dynamics on each attractor, especially (a)–(d), is a left Bernoulli-shift with the same parameters.
The truth table of Boolean functions of rules 42, 112, 171, and 241.
Summary of qualitative properties of rule 42.
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