You are wrong though. Think again what it means if the pattern would repeat itself. If you go infinite way that direction, does it ever start from the beginning and repeat itself? The answer is no.
I guess I don't know enough about mathematics? To me it seems like I don't even have to go "infinitely far" when it seems to be doing so just a slight bit over?
You see these small parts that look alike, but they do not repeat in the same order.
I believe that it might be possible, but of course this is not yet peer reviewed so it could be false as well.
Those few similar looking things aren't really repetition of the pattern if you think about it. If their surroundings and placement change every time... And if it never starts again from the beginning it never really repeats.
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