One... The North Pole
Disregard

If you define 'turn' as 'walking half a mile in westward direction', then anywhere on walkable terrain is possible.
It also depends on your instrument of measurement since you could recalibrate the compass.
Sorry for the dry answers but you didn't define the amount of degrees in the turn. If you walk 30 degrees south, then walk a mile east (turning 60 degrees), and turn another 60 degrees before going north you can do this triangle from anywhere.

If you define 'turn' as 'walking half a mile in westward direction', then anywhere on walkable terrain is possible.
It also depends on your instrument of measurement since you could recalibrate the compass.
Sorry for the dry answers but you didn't define the amount of degrees in the turn. If you walk 30 degrees south, then walk a mile east (turning 60 degrees), and turn another 60 degrees before going north you can do this triangle from anywhere.
Didn't think I needed to specify that the turns were 90 degree turns....but they are.... and your answer is incorrect.....in fact it's rather hard to understand what you're even saying. Recalibrate?

I know the given answer, Mike.
But Mercator fans would.
No idea what you're saying here.

I'm disappointed in the (lack of) quality of responses here. I'd like to close this thread, but since I don't know how to do that, I'm just going to unfollow it.

"Is there anywhere on earth from where you can walk a mile south, turn and walk a mile east, turn again and walk a mile north, and end up exactly where you started?
If so, how many such points are there?"
That was the original Question for them that remain.

Or north in the North Pole?
Well, I think that one works. After walking south, you're still in the general area of the North Pole, but not exactly in the northernmost point.

I wish op did not abandon us. How are we ever going to figure this out? Who's gonna fix this mess?
We won't. And no one will.
We're on our own now.
Thread closed for lack of quality in responses.