It reduces to the Mandelbrot Set on one plane, and to the "Tricorn" or "Mandelbar" fractal on another. And there's a stream of self-similar solids emanating from the main pointy bit.
I don't only like this fractal because I don't know of anyone else having found it before me ... okay, perhaps that is a contributing factor ("It's MY fractal, Miiiiiine!"), but there are other fractal solids in the same series and I don't like those nearly so much. And according to my YouTube stats, neither do other people.
Now, if only I had access to a high-resolution 3D printer ...
