William Poundstone's "The Recursive Universe" reports Conway's persuasive analysis of alive, intelligent Life patterns in Life. Conway thinks that alive patterns would emerge, survive, propagate and evolve in huge random fields with very low density (say one on cell per billion).
Conway’s Game of Life is Turing-complete. Therefore, it is possible to create an AI in it. If you created a 3^^3 by 3^^3 Life board, setting the initial state at random, presumably somewhere an AI would be created. Would this AI somehow take over the whole game board, if given enough time?
Would this be visible from the top, as it were?
EDIT: I probably meant 3^^^3, sorry. Also, by generating at random, I meant 50% chance on. But any other chance would work too, I suspect.