complex iteration (complex "height")

[Gottfried]

@Gottfried

What is on axis? What is k?The relation between k and x? Why there is k/64 in expression for h? ... Interesting anyway , Your pictures always seem to contain a lot of information.

Ivars

x-Axis is real, y-axis imaginary value of the result.

The complex circle of radius |1| was divided in 64 steps. indicated by k as the number, so each k represents 1/64 of the circumference of the complex unit-circle. But this is only using g=1. I added the other results for equivalent parameters on the complex circles of smaller radii too.
So the blue line shows the values for
sqrt(2)^^(exp(2*Pi*I*k/64)), k=0..64
the green line for
sqrt(2)^^(0.75*exp(2*Pi*I*k/64)), k=0..64
and so on.
Here is an updated plot, where the points for h=I (the 16'th point on the blue line) , h=-1 (32'th point) , h=-I (48'th point) are marked