Jose Mario Quintana wrote: > but, it is not the only one, > > (X=. (8 + (2 ^ ]) - (2 ^ 2) ^ ])New (^:22) 0.5j_0.5) > 1.24627511j4.53236014
There is way more than that. If you use "phase portrait visualization tool" (e.g. from here http://code.jsoftware.com/wiki/User:Andrew_Nikitin/Phase_portraits ) on a, say, 10x10 square: viewrgb ccEnhPh f 5*sq 128 you will see a root near 3j4.53, near 3.43j1.72 and much more all intertwined with poles and getting denser and denser along 2 curves parallel to the real axis. And since exp(z) is periodic, same picture is repeated with period 0 j. 2p1%^.2 Here is interesting piece of trivia: image of almost any straight line under exp(exp(z)) is dense in C so the behavior of anything with exp(exp(z)) in it (and 2^2^z is pretty much same thing as exp(exp(z))) becomes weird fast. ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
