Polar coordinates based on Collattz numbers and 2^n zones revealing droplet pattern

Hello everyone! So I have been experimenting with a Collatz graph visualization that maps reverse tree in a particular polar coordinate system. This mapping forces numbers to fall into strict zones which leads to emergence of quite cool geometric patterns (like droplet spirograph) Below is a brief explanation of the process. The radial distance is determined by the "zones" to which the number belongs. Zone n is determined by floor(log2(v)) where n represents the [2^n, 2^(n+1)) range. All zones are mapped as circles separated by a particular "ringSpacing" The angular position is a straightforward linear mapping of a number's position within its particular zone 2^n is fixed at -π/2 2^(n+1)-1 comes close to completing the full circle. The position of the number itself is proportional to its value within the circle: (number - 2n) / 2n of a whole circle. What is interesting about such mapping is the automatic emergence of fixed structural axes from certain types of numbers. Values of 2n pla