Not claiming there is any real mathematical genius behind this idea, but it seemed interesting enough to share. I was wondering what would happen if you build your next Z by plugging the magnitude of Z in as your real coordinate, and the angle of Z as your imaginary coordinate. I.e., abs(Z)+i*angle(Z), or in xaos abs(Z)+{0;1}*asin(im(Z)/re(Z)). This is it:

I found that the image is more visual stimulating if you dampen the real component by a factor of 0.5:

Here is the Julia taken from the colorful section on the left — Julia seed -1.2+0i.