This is my attempt to duplicate the cover of the book "The Beauty of Fractals."
I think this image is pretty close. I'm using the newly developed 3D ability of my fractal rendering program, FractalWorks.
The info on the basic plot is as follows:
Maximum iterations: 1000
Center Point (real, imaginary): -0.168, 1.06 i
Plot Width (real): 0.136