The Best Two Points in a Square (Math Chat)
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|Frank Morgan, MAA Online|
|Solution to the challenge: Where do you think you should you place two points in a unit square to minimize the average distance in the square to the nearest of the two points? Computer calculations by Al Zimmermann yield configurations of 2-11 points (pictured). New challenge: How fast do you get home with a random walk on the line? in the plane? in three-space? in n-space?|
|Levels:||High School (9-12), College|
|Resource Types:||Problems/Puzzles, Articles|
|Math Topics:||Graph Theory|
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