im looking to collaborate with someone who is passionate about trigonometry, computational geometry, or just math in general! im trying to figure out if the white dot in the animation linked below can be computed in constant time, and if not what is the best that can be done? all the code i write these days is open-source, and i believe cracking this nut will go a long way for many!! any takers??

loop anatomy animation:

https://youtube.com/shorts/M83QFzrcnlc?feature=share