The Best Two Points in a Square (Math Chat)
Library Home || Full Table of Contents || Suggest a Link || Library Help
|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|
© 1994-2014 Drexel University. All rights reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.