The property holds true
for any line of latitude that is exactly one mile north
of another line
of latitude
whose circumference is *divisible*
by one mile.

A hunter could then walk a mile south,
make `n` complete cycles around the south pole
and return to her origin.

Thanks to Jeff Y. for spotting this one first.

Also it works for the north pole.

Also the bear is red. It just got shot.