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Is the Center Column of Rule 30 Repeatable?
I've been trying to prove that the center column of rule 30 doesn't repeat. That's something I think might be doable. And so that's analogous to a similar kind of things like the digits of pi, which are also generated in this very deterministic way. So now the question is does all the digits base 10 or base two or however you work it out? Do they all occur with equal frequency? Nobody knows.