Rose of Io
Explanation of the Image...

Rose of Io
This image, illuminated by the escape time algorithm, is created from the mathematical system defined by the expression,
z←c1*log(c2*z) where z, c1 and c2
are complex numbers. The ← symbol signifies the iteration operation.

The number z is the single state variable. The map of all possible states for this system is just the complex plane.

The domain of this image in the map of possible states is:
(-1.573, 0.4348)/(0.82264, -2.1978)
The depth of iteration is 50. The parameter values are,
c1=0.7+0*i, c2=1+1*i.