I have realized a little screen saver drawing mandelbrot fractals.

I've used this equation ( x(i+1) = (x(i) ^ a )) + c , where x and c are complex numbers and a is an integer number between 1 and 6 (included) . the fractal is rendered on screen strip by strip and the choice of c is randomized too.

if the random number extracted is odd c become c(i+1) = (-1 + 0i) + c(i) , c become c(i+1) = (-1 + 0i) - c(i) otherwise.

Doing so, the result is a symmetrical

or unsymmetrical series (the picture is symmetrical when the series is symmetrical too an so on).

Each picture is real-time calculated .The color palette is randomized too.

Try it!. It's available for downloading in "tools" section or following the link above.

I have managed complex numbers using Exocortex.DSP library. Thanks a lot to all Exocortex group.