[UFO] - a contradiction in assuming continuous tetration?

[mike3]

I tried plotting it with "exact" value and the bounds were the same as on my first graph down to 5 digits, so the curves would not be visibly distinguishable. Though my tet-approximation is only accurate to like 14-15 digits or so here. So the regular is somewhat close, but not equal, to the tetrational at this line. That makes sense, though, since the tetrational is asymptotic to the regular iteration (and the corresponding one at the conjugate fixed point) in the direction of \( \pm i \infty \).