algorithmic modeling for Rhino
A quick recreation of the Inscribed Rectangle Proof by the magnificent 3Blue1Brown: https://www.youtube.com/watch?v=AmgkSdhK4K8
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It is weird because there is not some curve intersection but just on point but that worked well.
As seen on the render I have a problem with meshes near the curve. It is because I use Hollistic cross reference and after that I used quad, quad on the curves are quad with 2 points equals. I also add double quad everywhere.
I change a bit my definition to have just the mesh where necessary.
@Laurent, nice! Circles are a weird limit case aren't they?
@ David, yes, I'd say that definitely would have been better. Now the method seems to claim to be proving something that doesn't get proved.
Either that, or my understanding of what 'inscribed' means is off.
@Pieter, I wondered about that as well. Perhaps vertex-coincident would have been better.
The elegance of this proof... I'm in awe. Wonder about the square case, I guess a bit different abstraction would be necessary - given we would have to care both about the diagonals ratio and the angle between them I'm betting the map itself should be of a higher dimension (?)
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