Because it takes the meaning out of the accomplishment? In this scenario, there might be something interpretable as a superintelligence that exists at some point before the scenario settles into repeating, but the end state still seems more to be caused by the initial state than by the superintelligence.
Alternately, it could be because you value novelty, and the repeating nature of the stabilized field precludes that in a way that's more emotionally salient than heat death.
the end state still seems more to be caused by the initial state than by the superintelligence
But this is true of the heat death of the universe, too, eventually...
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.