Here I add four more pictures.
The first is the same as the first in my older msg; only that I remembered , that the original x0 was x0=1+0.5*I and the cryptic x0=2.38+1.303*I was in fact exp(x0) = x0^^1, so all height-references are increased by 1.
In the next we see the enormous spiraling for one unit-height-interval h=3..4 only! (Don't know whether the regular-tetration does artifacts here, however I checked this with 400 digits float precision)
The third and fourth pictures are simply scaled versions of the pictures 1 and 2.
Gottfried
P.s. the self-crossings of the curve are really impressive! Do I really want a function like this...?
1)
2)
3)
4)
The first is the same as the first in my older msg; only that I remembered , that the original x0 was x0=1+0.5*I and the cryptic x0=2.38+1.303*I was in fact exp(x0) = x0^^1, so all height-references are increased by 1.
In the next we see the enormous spiraling for one unit-height-interval h=3..4 only! (Don't know whether the regular-tetration does artifacts here, however I checked this with 400 digits float precision)
The third and fourth pictures are simply scaled versions of the pictures 1 and 2.
Gottfried
P.s. the self-crossings of the curve are really impressive! Do I really want a function like this...?
1)
2)
3)
4)
Gottfried Helms, Kassel
