Highlight between the asterisks . . .
Actually, there is an infinite number of such places.
Consider a circle of latitude near the South Pole which is one mile in circumference.
Select any point on this circle and walk one mile north.
From this starting point, we can walk one mile south,
one mile west (going "around the earth"),
then one mile north to our starting point.
Moreover, we can select a starting point so that we can walk one mile south,
and when we walk one mile west, we go twice "around the earth"
. . . and so on.