Experimental tetration 2D plot

[sheldonison]

I would love to see the plot by using a higher polynomial approximation of tetration.

I expect to see fractal patterns.

regards

tommy1729

Has anyone worked with the Schroeder equation for negative bases, or bases<1? The kneser program works for real bases > exp(1/e). So that part of the graph x^^y, for x>exp(1/e) wouldn't be too difficult.

For 1<b<eta, one could use the inverse Abel function solution from the Schroeder function. There's another singularity, at b=1. I have only worked with one base<1, exp(-e), which is a really really hard case, since the b=exp(-e) has a pseudo period=2.