The nature of g(exp(f(s))

[Gottfried]

Also i want to point out for iterations of exp ;
(...)
However I believe it is true that for nonreal s :

In the infinitesimal neigbourhood of any nonreal s there is a point with some period B. (where B is not the period of s if s is periodic).
(...)

Hmm, it seems that the n-periodic points are very "dense" (in  the visual sense) in the right halfplane, but I don't know about the left half plane. At least I didn't come across of 2-,3- or 4-periodic points (for the exp()-function to base e) in the left halfplane (don't have proof -positive or negative- so far)