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I don't think so. Game of Life is Turing Complete, and to highly oversimplify what Turing completeness is, it basically means it can theoretically perform any computation your computer can from given instructions. So when a pattern in a Game of Life ends up in a loop, you are actually instructing it to do so, not much different than writing while (true) {} in a computer program for example. While here, it's just two pages ultimately linking to eachother.