The cycle of Collatz #21

The Collatz Conjecture is a sequence defined as follows:
Start with any positive integer n.
If the previous term is even, the next term is one-half of the previous term.
If the previous term is odd, the next term is 3 times the previous term plus 1.

The conjecture is that no matter what value of n you start with, eventually, you will always reach the number 1.
As of the time this project is minted, this has not been proven yet.

Maybe you can try to prove it wrong by picking the right number…

The background is determined by the current iteration.

The front shape is determined by the number picked by the minter. It will reach a moving point on a circle of a diameter based on the number of the next step.