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I designed some cute quartic surfaces #Math #Mathematics
23,212 次观看 • 1 年前 •via X (Twitter)
10 条评论

Imagining this video *but* at the end there's a very high-degree inequality with a time var, specifying the precise shape of the backyard surroundings

too bad we can't easily get a large enough 3D printer :-p

how do you do positional tracking for placing the 3d object?

How did you figure out that those quartic give you those shapes? Do you have a program that takes in a shape and provides the best quartic fit? If so, what is the algorithm?

I do it by hand. A general quartic has 121 coefficients, BUT after a few minutes playing with the mayor ones you quickly develop an intuition as to which ones do what.

I would really love the first shape as a piece of furniture, but I don't know what kind of furniture it would be

The rendering makes it outstanding

I run to test it on my simple ray-marching implementation :)

👍

y


