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I have a bit of a hard time liking this sentence in an otherwise lovely article: "The velocity is the same as the position but imaginary instead of real."
It is literally true when you are going in circles ;)
Well atoms are circles and llamas are made of atoms so real llamas are also made of circles i mean spheres similar thimg anyway
Shameless plug: I made this tool years ago (predates AI) that draws arbitrary images using Fourier circles https://phqb.github.io/circle_drawing/.
On man. Last night Claude casually suggested it knock out a Fourier solver when I asked it for some ideas for generative art projects. The singularity is weird.
Can't you have another set of circles perpendicular to plane, which encode when the pencil draws, allowing for discontinuous regions?