Just stumbled across this mating movie at Curt McMullen’s site.  I used to play a lot with fractals that were hybrids between quadratic Julia sets.  This is apparently a movie of one of these matings evolving.

I recently saw this classic image from over a century ago attempting to illustrate the limit set of a reflection group. Benoit Mandelbrot computed a more exact version a few  decades ago. Mandelbrot’s version is more correct as far as the limit set goes, but it doesn’t show the tessellation (the white and shaded regions [...]