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The Best Two Points in a Square (Math Chat)

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Visit this site: http://www.maa.org/features/mathchat/mathchat_12_2_99.html

Author:Frank Morgan, MAA Online
Description: 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
Languages: English
Resource Types: Problems/Puzzles, Articles
Math Topics: Graph Theory

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