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Puzzle ID:#7837
Fun:*** (2.71)
Difficulty:** (1.84)
Submitted By:Adamko***




I start at point X. I walk one mile south, one mile East and then one mile North and arrive back at point X. Where, besides the North Pole, could point X be?


There are an infinite number of points X.

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Oct 13, 2002

Where exactly is "just so far north" ? this is the real question.
Nov 04, 2003

You would be 1 mile from a small circle of radius 1 divided by 2 Pi, or about one sixth of a mile. Since for such a small distance the horizontal distance would be approximately the same as the distance across the surface of the Earth, you would be about 1 mile plus 300 yards (about 2000 yards)from the South Pole! Great teaser!
Jul 12, 2004

I thought it was the equator! Would this work?
Sep 15, 2005

The equator wouldn't work, but there may also be infinite of these lines. If you walk 1 mile south and then walk east, circling the pole more than once and ending up where you were, such as if you would walk around half a mile and be back where you were, then another half mile you'll be back again, and then walk the mile back north. Same with a third of a mile, fourth of a mile, etc.

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