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More from this clip:

Cool! 

Most of what I try is original. I write a method like this one, then I random C values to see if I get anything special. I throw away most of what I find, but this one I kept.

Here is this code, returning true or false if a 3D location is in or out of the set:
m_qC is the C with random values from -1 to 1

////////////////////////////////////////////////////////////////////////////////////////////////
bool get3DJuliaColorAlg41(double *start)
{
   CVector3 z(start[1], start[0], start[2]);
   for (int i = 0; i < 30; i++)
   {
      double a = z.x*z.x - z.y*z.y - z.z*z.z;
      double b = 2 * z.x*z.z;
      double c = 2 * z.x*z.y;
      double newx = a + z.x * m_qC.x;
      double newy = b + z.y * m_qC.y;
      double newz = c + z.z * m_qC.z;
      if ((newx*newx + newy*newy + newz*newz) > 8)
         return false;
      z.x = newx;
      z.y = newy;
      z.z = newz;
   }

   return true;
}