This guy has an obsession with finding a 3D version of the Mandlebrot fractal. He’s given himself some very strict parameters that the resultant equation must exhibit, and the results that he’s worked on so far are simply stunning.

Mandelbulb: The Unravelling of the Real 3D Mandelbrot Fractal.

The classic Mandlebrot is strictly a 2D shape, and whilst there have been tricks tried to produce 3D versions, such as height-mapping, none of them exhibit the incredible (or infinite) detail on many different scales, in different directions. He’s found one class of shapes, that he has some renderings of, that just about satisfy his self-imposed rules, and they’re pretty incredible to look at. He’s still not perfectly satisfied with the results however and will continue searching the mathscape for something even better…