The main idea behind XaoS is that it is not required to calculate the
whole image every frame. Most pixels are already calculated in the
previous frames. You usually don't have exactly the pixels you want,
but all within a range lower than a step between pixels are
acceptable. That is why the image flickers a bit and why points do not
blink randomly as in precalculated animations.
This document describes some of the most important algorithms in XaoS