I’m looking to solve this piece of geometry, basically, I’m looking to make it so that each red curve is of equal length, while being perpendicular to the convergence point. So far I’ve only managed to do it using Galapagos, but I was wondering there was a theorem that could be applied instead? I’ve tried to search for it but so far nothing
Are red segments “r” orthogonal to the gray dashed lines?
Probably kangaroo is the fastest way for now.
Maybe there is a pure math solution, but kangaroo would certainly work it out and it’s way… lazier XD
A note: having one segment “r” being co-linear and parallel with segment “a” make the whole structure somehow “rigid”… maybe to make it work you should just use a distance for vertex “b-c” from “a” , instead of using direct values for “b” and “c”.
Note how left point move; as said, having one segment “r” co-linear with “a” make this impossible to have a rigid triangle “abc”. One of the segments need to be “free” to change length.
(in my solution both b and c are “free” and i’ve set a vertical anchor to left point)
This would be way easier with software like Inventors, using “bonds” and such.
Thanks for this, looks promising! Ideally I’d like to keep the red segments perpendicular to the focal point, while keeping the focal point in the same place, also leaning towards a trigonometric solution to make it quicker to calculate
As i said… I think that’s impossible.
Again referring to your first picture, If you want one red segment being parallel and co-linear with “a”, you cannot use any triangle abc , you have to let a or b or c change its length.
If you don’t need one red segment being co-linear and parallel to a, then it’s a different case.
Ok… maybe that will make everything even mor complex.
Even on just kangaroo, the anchors would need to be changed in a smart way to make them work.
What @anon39580149 pointed out is really interesting.
I did a fast check and maybe the "1,2,3,4 … " proportionality is theoretically exact with infinite-diameter circles, so with smaller circles you have to implement non-linear proportion between them.