3d buddhabrots cud have been rly cool if we were less dimensionaly challenged & it didn't take gigabytes of ram to have a single θread rendering 1 at a good resolution🤔🤔🤔
edit: uppsteppen ⏩
#mathart #3d #fractal #budddhabrot #nebulabrot #art #animation #creativecoding #cursedcoding #FractalFriday
inspired by tavis' deep field #nebulabrot #DeepZoom images on #fractal #fractals forums, I did a little shader that for each c in the complement of the #MandelbrotSet M, colours according to how often z <- z^2 + c hits a given small target disc , weighted by derivative (as a proxy for point density).
it looks as though the hit sources are distributed everywhere near the boundary of M, which i think i can prove for target discs outside a sufficiently large esape circle, but i'm not sure how for discs nearer M. intuitively, by the time any cell pair in binary decomposition of exterior escapes, it covers an annulus with radii R, R^2, so any disc outside R will be hit by some region in every cell pair.
Another #Nebulabrot, this time with more samples.
꧁ᐊ𰻞ᵕ̣̣̣̣̣̣́́♛ᵕ̣̣̣̣̣̣́́𰻞ᐅ꧂
claude
Microfractal 🫖