So here we are, in the world of fractals. Fractals are new? Of course not.
But the first people, who tried to understand them was Mandelbrodt, a man from
beside the Baltic see. He discovered a very simple formula to a new world. The
mathematic formula was
where Z means the original coordinate of the point in the complex numerical
system. Z(n) and Z(n-1) means two elements from the queue. After some steps,
the length of the Z(n) vector could reach 2. This is a value limit. The points,
which are lower than 2 are in the set of Mandelbrot, and which are higher than
2 are not in the set. If we want to get a sharper picture, just increase the
value of maximum cycles. The rectangle which contains the set of Mandelbrot is
(-1.5,-1) - (0.5,1).