Bifurcation of tetration below E^-E

[Ivars]

Hi IVARS!


Therefore, I agree with you (IVARS) thet we need an extra dimension, but I think that it should be represented by the imaginary axis itself. In this case, it will be the "fourth dimension" of the diagram.

GFR

But if we use only infinite tetration heights, 3 dimensions would be enough? There is one puzzle I am having with the circle since complex plane are actually 2 half circles, how do we get them divided...

One more thing is that there is also negative region on the left that havent been accessible to tetration , I understand.

Is it not accesible also to superroots or x^(1/x) - since any root has as many values as x real , imaginary, positive - where do we see these many values? what if x= e? x=i? How many roots should we have?