Experimenting with the "divisibility" of complex numbers, I stumbled across this thingy. It looks like a fractal. Although the formula does not do any iterations.

It reminds me of something. But I dont know what. Doing a Google image search brings up a couple of galaxies :)

This image shows the region from (-1/-1) to (1/1). You can click it to see a 4000x4000 pixel rendering of it.

Is this some known structure? Or some variation of another mathematical object that has a name?