It was probably the visualization of the Mandelbrot set that popularized the science
of complex dynamics and chaos. And indeed, the magnificence that is achieved by just a few
lines of code can hardly be exaggerated. This animation shows a zoom; starting somewhere
"deep in the Mandelbrot set" and going back to "its surface". Some amazing animations of the
Mandelbrot set that go way beyond what is shown here can be found at YouTube.