4. Cellular Automata and Fractal Evolution

Exercises

1. For these rules

(a) (b)

what pattern evolves from an initial random distribution of live and dead cells?

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2. For thie rules

(a) what pattern evolves from an initial distribution of two adjacent live cells?

(b) Add a nbhd config to the rule so the pattern evolving from an initial distribution of two adjacent live cells remains two adjacent live cells.

(c) Can any nbhd config be removed from the rule to preserve the result of (b).

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3. Find an outer totalistic N=5 rule that geneartes a pattern like a gasket, from a first generation consisting of a single live cell.

Here is the answer. Test your answer with the CA software.

4. Find an von Neumannn rule that geneartes a pattern like a gasket, from a first generation consisting of a single live cell.

Here is the answer. Test your answer with the CA software.