The Mandelbrot Set--Click here for more information.
Imbedded along the lower abscissa are perfect replicas of the set, but amid a background of greater and varying detail.
Julia Sets--Click here for more information.
There are an infinite number of Julia Sets, one corresponding to each position on the plot of the Mandelbrot Set.
A program that generates these images is available at
my FTP site.
If you download it, send me email, and I'll send you instructions soon.