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Nov 11, 2009 at 10:04 comment added Jose Brox A nice and simple argument.
Oct 28, 2009 at 19:46 comment added Ilya Nikokoshev Sure, that's another possibility, but I thought for this question we consider specifically evolution from 1 (other automata may indeed be better for other initial values)
Oct 27, 2009 at 1:48 comment added Alex Fink I don't see why we care about triangular shape a priori: it could well be that evolution from generic conditions is pseudorandom enough but evolution from (say) a single cell 1 is not. Nor why the observation about 111 is necessary: don't you do the opposite for 000?
Oct 26, 2009 at 23:50 history answered Ilya Nikokoshev CC BY-SA 2.5