The Mandelbrot Set by A. K. Dewdney (1985 Scientific American article)
math.uwaterloo.ca
math.uwaterloo.ca
I seem to remember doing a very blocky Mandelbrot set on a 286. Good times!
His first response to any new system is still to write a Mandelbrot generator. When he semi-retired from his position doing system-level C stuff a few years ago, he decided to give Java a try. He occasionally emails me video explorations of the Mandelbrot sets he has generated. I have a photographic print he made hanging up on my wall right now.
First time he tried to get them to print out one of his images, the person at the one-hour photo at Wal-Mart told him the picture was unprintable, despite multiple tries. The multiple 8x10s were retrieved from the waste basket, and my father got three for the price of one.