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> more closely maps to a toroid than a sphere

It's the very definition of a torus, at least when we're talking about fundamental polygons[0].

[0]: http://en.wikipedia.org/wiki/Fundamental_polygon



Yes, I just meant that, if you did wrap a square video game map into a torus, it would look kind of funny as the middle would get stretched and the top and bottom edges squashed. But it would certainly all be there, unlike a sphere that would need parts of the map cut out.




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