The Mandelbrot set is probably the most famous of all fractals. It is named for its discoverer, Benoit Mandelbrot, one of the people who pioneered the exploration of fractals and other chaotic systems. The Mandelbrot set is a fascinating object because, while it is probably one of the most complex objects in mathematics, it is created by iterating an extremely simple formula: Z = Z * Z + C, where Z and C are complex numbers. The initial value of Z is zero, and the initial value of C is the location of the current pixel. How odd that this trivial little formula can produce the endless complexity and infinite length of the Mandelbrot set.