This is a part of my contribution for the "Jear of Mathematics 2008".

The iteration is z->z^4 * (1+(0.1578577846+i*0.04189374382)/z)^7
and can be quasiconfomly mapped to Fractal 3 of my gallery.

The function and parameters are not mine, but the programm used was written by me. The image was calculated with a 16 times higher resulution an the scaled down to get some antialiasing effect.