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I cut the mandelbulb set at y>0 (on y=0 is the Mandelbrot set) and use the following formula in iteration (found here on fractalforums).

The non trigonometric variant of the sin power 2 mandelbulb:

  double r_xy=Math.Sqrt(xx+yy);                     
  double 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;

     xx = x * x; yy = y * y; zz = z * z;
// Bailout:
     r = Math.Sqrt(xx + yy + zz);



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