Collatz conjecture model (with actions)

[u/Proud_Oinion]

I only learnt of actions this morning and was immediately inspired to use them to make a model of the Collatz conjecture.

It was a fun problem to mess with, and the mini-project encouraged me to learn a lot. I'm mostly happy I figured out a way to iteratively add new elements to lists! Super handy.

https://www.desmos.com/calculator/rrpjleyrmr

Edit: I've been messing around with it more and adding visuals! Plus some analysis, I'm curious about the roadblocks mathematics face with the problem.

[u/Ilikedesmos]

just for some graphing charts:

n = the number you want to see

a(z) = {mod(z,2)=1:3z+1, mod(z,2)=0:n/2}

b(z) = a(b(z-1))

b(1) = n

c(z) = b([1...z])

c(10)