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This paper analyses the randomness of Rule 30, http://www.cs.indiana.edu/~dgerman/2005midwestNKSconference/dgelbm.pdf. Also note that there are some patterns that, when repeated to fill the cells of a Rule 30 automaton, repeat themselves after finitely many time steps. (https://web.archive.org/web/20130808012847/http://www.iwriteiam.nl/Rule30.html)



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