Dear Sofia,
I once invented a torus-shaped world ("torus", as you certainly know, is the mathematical term for "donut-shaped"), partly because I enjoyed playing Go-ban with you on a torus-shaped board (and also on a board shaped like a Kleinian bottle, you remember). On this torus-world, I thought, there would be much more prominent lines and points than on a circling circle like the earth with a northpole and a southpole and an equator: there would be an inner northpole and an outer northpole and a cis-northpole and a trans-northpole and also four kinds of westpoles and eastpoles and southpoles. I remember an episode of Monty Python's Flying Circus featering Scott searching for an unknown pole of the Sahara. And the most intelligent bear of the world, Edward Pooh, once asked about alternative poles.

Yours,
John