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Two; the north and south poles. Because a compass will always point you in the direction of the poles due to their magnetic emission, if you start exactly at the north pole and travel due south one mile and due west one more mile, your compass will point you directly back to the pole, which you will be exactly one mile away from, and likewise for the south pole.

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Q: How many places on Earth can one travel one mile south one mile west then one mile north and have returned to the point of origin?
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