Feel the power of circles 
Formula:
(z+c*)/(z-c*)
(c* is conjugate of c)
z starting value:
z=c
Escape radius: 1024 - I didn't test if it goes on to look different but I guess, in the limit, the small circle in the center disappears as it continues to get smaller and smaller.
Formula:
(z+c*)/(z-c*)
(c* is conjugate of c)
z starting value:
z=c
Escape radius: 1024 - I didn't test if it goes on to look different but I guess, in the limit, the small circle in the center disappears as it continues to get smaller and smaller.

:origin()/pre00/1a77/th/pre/i/2009/354/9/d/daemon_of_circles_by_kram1032.png)
However there are some really great works with Apophysis
Wait for my next one, it's so to say the inverse of this one