Hi Gunter,

My previous reply got zonked by windows internet connection and work distraction...

I do not think that I understand your question.

The loxodrome curve on the sphere is asymptotic with respect to the North and South poles.
It would take an infinite number of whorls to reach the poles.

The _loxodrome01 script can be run a second time with Top unchecked, to generate the bottom half, Southern Hemisphere curve.
The bottom half could be scaled in the top view, to meet the South pole, with the bottom curve still tangent to the top curve (per test),
but the bottom curve would no longer be a loxodrome.

- Brian