where Z and C are complex and in the first step Z is the origin. The magnitude of Z will diverge for some starting points C but not others. The Mandelbrot Set is the set of points C on the complex plane for which the magnitude of Z does not diverge.
This very simple process creates extremely complex and interesting graphs. That [rock].
Put your weird and wonderful Mandelbrot generator in a subpage.. I know you've written one ;)
TheInquisitor wrote one for his TI86, once - it worked, too. Code, alas, lost to posterity. Along with a Pascal one from A Level Computing (although I don't think it was the set exercise).
That's a point, actually. ChrisHowlett wrote one for his Sharp EL-9300 - it worked too. Code still in existence, I think - although it did have a tendency to run his batteries down.
Admiral wrote one in AMOS a looong time ago, and used it to generate photocd-resolution (3072×2048 24 bit, therefore 18MB) images, on a machine that didn't have that much RAM. Needless to say, it had support for batch-processing and restarting unfinished jobs - there's only so much patience you can have with a 28MHz 68020.