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123 sats \ 6 replies \ @SimpleStacker OP 10 Sep \ parent \ on: [Math Puzzle] Does every sequence terminate in a loop? math

yes, my son and i even vibe coded a visualizer together: https://henry-kung.github.io/collatz/

the beauty of this problem is that it's so simple to understand, yet no one has solved it

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50 sats \ 4 replies \ @jasonb 10 Sep

Yeah, the different patterns vs (seeming?) chaos I'm seeing here are confirming that this is my kind of rabbit hole. I'd imagine there are all sorts of philosophy discussions around this too?

Have you read Gödel, Escher, Bach?

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28 sats \ 3 replies \ @SimpleStacker OP 10 Sep

I don't know if the Collatz Conjecture has triggered much philosophy. It seems too simple even for that. I guess the big philosophical question is: how can something so simple lead to such complex, chaotic behavior?

Have you read Gödel, Escher, Bach?

I have it and I've kinda flipped through it. I don't think i've ever read it start to finish.

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55 sats \ 2 replies \ @jasonb 10 Sep
how can something so simple lead to such complex

Yeah, that's kinda where I was going. Reminds me of Game of Life in that regard.

Gödel, Escher, Bach has to be my all time favorite book amongst books that I've never actually made it to the end...

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28 sats \ 1 reply \ @SimpleStacker OP 10 Sep

maybe I'll give it another go

the idea is pretty fascinating

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3 sats \ 0 replies \ @jasonb 10 Sep

I've said that so many times, never finished, and still didn't regret it. lol

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45 sats \ 0 replies \ @jasonb 10 Sep

This is rad!

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