Add Mandelbulb

[trebeljahr]

Description

Add the 3D equivalent of the Mandelbrot Set. Commonly known as the "Mandelbulb". Ideally, fast, zoom in/out, orbit/panning controls.

Inspiration

Wikipedia - Mandelbulb
Mandelbulb Raymarching Renderer - Demo -> Code is here

Youtube Videos:
Sebastian Lague's Raymarching Video -> Code is here
Coding Trains Mandelbulb Video

Type

WebGL -> 3D

Difficulties

3D requires a Three.JS setup -> probably React Three Fiber.

Or some very fancy shaders for 3D WebGL -> this is a bigger task than most other fractals, but once done, opens the door for other 3D Fractals, like the Menger Sponge or 3D versions of L-Systems. Ferns, Trees, Crystals, etc.