this ridiculous math problem i’ve been working on for 10 years, i’ve finally solved it.
It’s not an “unsolved” problem, just unsolved for me, and all the material i could find on it was over my head. Now i am here and I learned heaps along the way and made a lot of beautiful messes in desmos.
the problem was, i wanted something like a bezier spline, with control points for start and end, and two more for the angles going in.
I may do a full write up
now what was I making this for?
next things i’d like it to do:
- a “smoothing” paramater to make the joins c2 or c3 continuous (for squircles or motion paths that don’t want sudden changes of speed)
- a parameter to alter the tangent of the join point (sometimes referred to as ptt in the literature for some reason that is over my head). and bonus points for controlling that angle with the length of the end controls to approximate how a bezier works
@zens damn I feel this *looks at a pile of JavaScript which can partition the vertices of a 120-cell*
@zens
Congratulations!