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Formula (Mandelbulb Power 2):

Cut the upper part to get the mandelbrot set:

if(bi>0)
 return 1;


Loop (br,bi,bj is the (x,y,z)-Position of the point in the set to test):

 xx = x * x; yy = y * y; zz = z * z;
 r_xy=Math.Sqrt(xx+yy);
 a = 1;
 if(r_xy!=0.0)
   a= 1 - zz *( r_xy);
 y=2 *x*y*a+bj;
 x = (xx - yy) * a+br;
 z = 2 * z * r_xy+bi;