Talking about shower thoughts on Collatz visualizations.. A while ago I though of a way of structuring the collatz orbits by arranging integers in a 2d grid wi

Talking about shower thoughts on Collatz visualizations.. A while ago I though of a way of structuring the collatz orbits by arranging integers in a 2d grid with odd numbers being arranged along the X axis and multiples of the power of two along the Y axis. https://gist.githubusercontent.com/ginkgo/13121db56b65b1237e5ebf48a73dd710/raw/5dc89c8e17254a1ed49b62ecfad7f857bd3977dc/collatz_grid.svg https://gist.githubusercontent.com/ginkgo/13121db56b65b1237e... So essentially any odd number n and all numbers n * 2^m belong to the same group of numbers that eventually reduces to n. All that's left is the 3n+1 orbits which are shown as lines from the odd numbers. This reveals quite a bit of structure (IMO) especially only every second odd number goes to an orbit reducing to an odd number larger than it (and it's always in the form n * 2^1) all the other orbits every 4th, 8th, 16th odd integer immediately reduce to an odd number that's lower. Anyone seen an arrangement like this for the Collatz orbits?