That works. And there are an infinite number of points exactly one mile north of that circle from which one could start.
Then if you take another circle which is one half mile in circumference, you would walk west one mile and make two trips around the circumference and then make your return trip north to your starting point. Again, there are infinite starting point for this solution.
And you could go on with a one third mile circle, one quarter mile circle, one fifth mile circle, and keep going for another infinite number of solutions.
This is all in addition to the obvious solution where you start at the North Pole.
nice! I hadn't considered the half-mile double-loop idea (and of course all the way down the reciprical integers)