The black & white journey continues...

I started off from the same base I was talking about here. Then I added a "loq" transformation which is a version of the logarithmic formula applied to the z-dimension (3d). I also added "ripple" which does what its name suggests!

Sometimes, as the fractal output is rendered after a huge number of iterations, the effect of a variation is not obvious; so do not try to find ripples with your eyes, they are nested within other shapes that would not appear without the ripple variation. Still, in the details below you can make out some of the ripples there.

Had to work a lot to find a good placement for each transformation's control handles, so that they produce a proper image. Here is what I ended up with:

Details: