Question

A woman starts at a point P on the earth's surface and walks 1 mi south, then 1 mi east, then 1 mi north, and finds herself back at P, the starting point. Describe all points P for which this is possible (there are infinitely many).

Answer 1

Hi Tulip here is the solution

Answer 2

She is looking for the answer! lol

Answer 3

S, E, N back to P? Where's that, the North Pole?

And there's only one of them...

An infinite number of paths (spherical triangles) maybe.

I know, some kind of projective space...