"Well, in order for this to make sense, since there are only three moves involved here, the geometrical shape of the route taken cannot possibly be a square, right? So in order to have done so in three moves, and end up where I started, it would have to be a triangle. So in order for that to be the case, where on Earth would I have to be if I were to end up where I started in three moves like that? It would have to be a fixed point on the planet. The planet is spherical, but if I am going walking one mile south, and then one mile west, and then one mile north, those are fixed directions that cannot be altered, so that would mean it was a direction that is fixed, such as The North Pole?"