The Egyptians didn't use Polaris as the north star, they used Thuban, based on orientation of the great pyramid and light shafts
The 12,000 km personal dome. Find the edge of where you can see Polaris, then move and show it is gone. If it goes over the horizon versus just disappearing in the sky, the personal dome is bs.
If using the southern cross is a valid navigation technique for south, how does it move all around the pizza depending on your longitude?