schoeller@alien.DEC (10/24/85)
There are even more points to the polar bear problem than I have seen posted. There is the North Pole AND besides a circle one mile north of a circle of circumference 1 mile, there are an infinate number of these circles between the two above circles. For example, a circle one mile north of a circle with circumference of 1/2 mile. One would travel a mile south, a mile east or west (which would take him twice through all lines of longitude), and a mile north and be in the same spot. Well, one could be one mile north of circles with 1/3 mile circumference, 1/4 mile circumference, 1/5 mile circumference, etc., and move 3, 4, 5, etc., times around all lines of longitude that would place him at the point at which that person entered the circle, and then move a mile north to the same starting point again.