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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? 8 comments
@futzle mine too, for 10 years. now that i’ve figured it out though the solution is ridiculously simple, it was just too buried under maths jargon for me to understand. the two lines you see in the diagram project out from the end points, and where they intersect is where the join point needs to go. and i can calculate the angle of those lines because they’re just half way between the angle i want for each point, and the tangent angle for the join. and… done. ?! that’s it? that’s it @futzle where i kept getting stuck is trig functions that only operate under specific angle ranges, and bits of the math that divide by zero breaking everything because, there’s places you can put the points that result in a circle of infinite radius. also known as a “line” next things i’d like it to do:  @zens damn I feel this *looks at a pile of JavaScript which can partition the vertices of a 120-cell*  |
Gregory's Server
@zens Great work, beyond my ken I’m afraid.