The Ideal Voting System (Math Chat)
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|Frank Morgan, MAA Online|
|Answering the challenge: What is the shortest line segment fencing off prescribed area 0 < A < 1 in a unit square? (What about the least-area piece of plane dividing off prescribed volume 0 < V < 1 in a unit cube? What about a 4D cube?) ...assume that A is at most 1/2, since a larger area on one side corresponds to a smaller area on the other side. For A up to 1/4, fence off a corner diagonally. For A from 1/4 to 1/2, just use a horizontal fence... New Challenge. What do you think is the best voting system among three or more candidates? Design your own voting system and submit it to MathChat...|
|Levels:||High School (9-12), College|
|Math Topics:||Higher-Dimensional Geometry, Euclidean Plane Geometry|
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