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Out for a walk (Posted on 2002-05-29) Difficulty: 3 of 5
There are some points on Earth for which the following is true:

Starting from one of these points, you can walk 1 km South, then 1 km East, then 1 km North, and you will wind up back where you started from.

One such point is the North Pole. Where are others?

See The Solution Submitted by Half-Mad    
Rating: 4.0833 (12 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): TomM's answer in mathmatical terms | Comment 8 of 10 |
(In reply to re: TomM's answer in mathmatical terms by Jim Lyon)

My math was not off, since I avoided mentioning the specific distance from the South Pole (precisely because of the difference between a plane, a sphere, and an oblate spheroid). Both Zach, whose math you incorrectly attributed to me, and you have made simplifications to the problem -- he assumed that the distance to the south pole was the radius of the circle, and you, that the earth is a sphere. I simply said that it was possible to find locations that allowed you to travel 1 km east and arrive back at the same point.
  Posted by TomM on 2002-08-07 18:40:59

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