5/ probably also where Conway got the idea for his FRACTRAN universal Turing machine https://en.wikipedia.org/wiki/FRACTRAN So here's the idea: the 3x+1 map is HARDWARE that runs programs, and each initial seed is SOFTWARE, that is, a program that produces some behavior when run on hardware.
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Radical!!
Thanks. Twitter will use this to make your timeline better. UndoUndo
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Ive noticed something interesting after playing around with this tool: pictured here is a neighborhood around ~150th step of the orbit of 2^200 - 1, and then the same image but color-inverted. Notice how structurally similar the two images arepic.twitter.com/buZ94m34p9
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I wonder if this points to some dynamically-equivalent bevahiors the collatz map has on N and bitflip(N) for "typically" distributed N
End of conversation
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