Hi! I am new here but I have been exploring fractals for over 30 years ... and my first post here is something fun to watch ...
Suppose that instead of escaping from a circle of radius 2, z had to escape from another Mandelbrot set? ... and suppose that inner Mandelbrot set's z did too, recursively (forever, or at least until it's lost in the anti-aliasing
)? We could colour the pixels based on some combination of arg(all-those-z-values) ... then just suppose those nested Mandelbrots were rotating, and we put another, darker version of this inside the first Mandelbrot and those ones are rotating in alternate directions so sometimes the rotations cancel out? Hey, maybe we're zooming out and transitioning the brightness a bit so it loops ... yeah, loop this video!
https://www.youtube.com/watch?v=_vw_DrxW1l4I have more ideas than time to implement ... let me know what you think! I've got something on ShaderToy too!