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Message: <blockquote data-quote="orsal" data-source="post: 1779783" data-attributes="member: 16016">OK, I see where the confusion came from. In my original description of the torus, I wrote that it can't have absolute north and south, when what I really meant was that I wanted it not to have absolute north and south.The way I'm setting up co-ordinates, there *are* no poles, for the same reason that there is no East Pole or West Pole on the earth.I'm just thinking of a rectangle with wrap-around on both pairs of opposite edges. Directions are inherited from the directions in the plane of the rectangle. If you go north until you hit the north edge of the rectangle, suddenly you're on the south edge and continuing to go north.You could, but I have no wish to do that.The existence of a north pole and a south pole on the earth are due not to the shape of the earth itself (for, if we take a little license to pretend it's a perfect sphere there is no way to distinguish any point from any other), but rather from certain astronomical phenomena, most notably the motion of the sun around the earth. The same phenomena determine east and west as directions but not as poles. I was thinking of doing something similar with all cardinal directions on my torus-world.Of course, it is also possible to have a torus with a distinguished circle instead of a distinguished point, and use it to define north and south as absolute directions. For that matter, it would also be possible to have a torus with two distinguished perpendicular circles and thus get all four cardinal directions as absolute directions. But neither of those is how I was thinking of doing it.</blockquote>

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