[UFO] Attracting Fixpoints or attracting line?

[Gottfried]

Hm, interesting idea.
For \( b>e^{1/e} \) this line would however have a gap near the real axis?

Mhh, possibly we find then the origin of the curves in my (very) old plots concerning the complex fixpoints of such real bases \( b>e^{1/e} \)



and



(where the black lines show the locus of the complex numbers t, such that \( t^{1/t} = b > e^{1/e} \) and b is real using that idea...

Gottfried