z = (1-(sin(z) ∘ (1/z))) / 6 + c
A Rhodic fractal based on Sincbrot
. I only now realized that I accidentally divided by 6 rather than multiplying by 6, which might explain some of the difficulty I had getting nice fractals out of this formula. Preliminary renders with the corrected formula look pretty great, so I'll probably be posting more stuff soon.
I like the fact that it's almost-but-not-quite symmetrical.