I added a new formula to mandelbulber with the following code in fractals.cpp

case homogeneous_quad:

{

double newx = 2.0*z.y*z.z;

double newy = - 0.8*z.x*z.x - 1.2*z.x*z.y + 0.8*z.y*z.y - 0.8*z.z*z.z;

double newz = - 0.6*z.x*z.x + 1.6*z.x*z.y + 0.6*z.y*z.y - 0.6*z.z*z.z;

z.x = newx + constant.x;

z.y = newy + constant.y;

z.z = newz + constant.z;

r = z.Length();

break;

}

A friend of mine used this changed mandelbulber code to make a short video of the resulting fractal.

http://leden.vslcatena.nl/~robert/mandelbulb/Derickx-Equations.mp4

As you can see the resulting fractal changes it's shape when you zoom in, I wonder if this is known behaviour cause of the way mandelbulber works, or if I missed something in adding the formula. Any suggestions to make these zooming changes disapear are welcome.