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There is only a windless spot on earth if you take wind to mean air moving horizontal to the earth's surface. Otherwise imagine that we have wind that points north along the ground, with wind pointing up at the north pole and down at the south pole (and higher up wind comes back south).



That's a good point. I think the surface you are describing (that the wind would sweep out) would be a torus. The 2-torus is "combable."




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