If we look south in any location in the southern hemisphere, we will see the same set of stars. The stars are seen rotating around the south celestial pole, in the Octans constellation, near the star Sigma Octantis.
This phenomenon can never be explained in the flat-Earth model. Looking at the so-called ‘flat-Earth map’, we should see another set of stars on a different location in the southern hemisphere. The reason is that the flat-Earth model is a false representation of the Earth.