This is parameter plane for iterations of the exponential map
z_{n+1} = c exp(z_{n}) , Re(z) < 50. Maximum number of iterations is N = 7, 15, 50 correspondingly. I "stole" these funny pictures from the
preprints:
"Growth in complex exponential dynamics" and
"Ordering of the Mandelbrotlike set of the exponential map"
M.Romera, G.Pastor, G.Alvarez, F.Montoya.

This is the general view with N = 100. You should be patient,
as since iterations are rather slow :)
Click a picture to explore it. 