Collatz Conjecture + Unit Circle
I was inspired by this page to write my own Collatz Conjecture visualizer. My first build yielded something very close to what I saw in the Numberphile video, which I was happy with, but somewhat underwhelmed. I tried something different by keeping the rules used to create the original visualization, but wrapping everything around a unit circle. There are 360 "branches", each branch representing a 1-degree turn. I don’t suspect this reveals any new insights into the Collatz Conjecture, but I had fun generating some pretty organic looking motion and flocking behavior using a simple number sequence. The number 327 has a particularly long and interesting life here.