I just looked up the Mandelbrot set on Youtube and there are lots of cool vids.  Of course you have the classics from the 1980s.

But check this one out!  Not sure if it’s Mandelbrot or another, but it’s fun to watch anyway.

This one’s a “negative Mandelbrot.”  Explanation: The Quaternionic form of z^2+c such that the 3rd coordinate of z is negated on each iteration prior to squaring.  Got it?