For every rotation the inner arm performs the outer one performs pi (so 3.141...) rotations. And it never again meets the beginning of the trail, because pi is irrational, so the two frequencies can never match up again in the same way. With any rational number, you'd eventually expect the two frequencies to match up again (lowest common denominator), but pi and 1 do not have a lowest common denominator. Or at least in math... This project uses pi as 3.141592653589793 (16 digits) so after a quadrillion (1000000000000000) rotations for the inner arm, tip will meet the beginning of the trail again :( The setting sliders are at the right of the screen. (Note the resolution and transparency only updates on the green flag) Press space the reset them. Turbowarp recommended for better resolution. https://turbowarp.org/1222231838