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Replacing Iowa and New Hampshire (Math Chat)

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Author:Frank Morgan, MAA Online
Description: Answer to the challenge: Propose a new system for selecting Presidential candidates. Winning answer by Joe Shipman: a year before the primaries start choose five congressional districts at random to have a primary the last week in January and five more the first week in February. This preserves the advantage of starting small, so that the best-funded candidates don't have such a huge advantage, but avoids the distortions caused by always using the same two relatively atypical states. New challenge: You can find three equidistant points in the plane (vertices of any equilateral triangle). Likewise, you can find four equidistant points on a round sphere (so that the shortest path on the surface of the sphere between any two of them has the same length). Can you find five or more equidistant points on other surfaces?

Levels: High School (9-12), College
Languages: English
Resource Types: Problems/Puzzles, Articles
Math Topics: Higher-Dimensional Geometry, Euclidean Plane Geometry, Non-Euclidean Geometry, Statistics

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