$1000 Math Chat Book Quest (Math Chat)
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|Frank Morgan, MAA Online|
|Solution to the challenge: On a beach in Oregon, at a certain moment, the very last bit of the Sun disappears below the horizon. The question is: Can I make that last bit of Sun reappear by jumping up quickly to my full height, or perhaps by very quickly running up the hill behind me, to increase the elevation of my point of view? Answer (Joseph DeVincentis). "Yes - barely..." New challenge: Just last summer (see June 17 Math Chat) Thomas Hales of the University of Michigan proved that regular hexagons provide the least-perimeter (least-length) way to divide the plane into equal areas. What is the shortest network of curves you can find dividing the surface of the sphere into say four equal areas? five equal areas? other numbers of equal areas?|
|Levels:||High School (9-12), College|
|Resource Types:||Problems/Puzzles, Articles|
|Math Topics:||Higher-Dimensional Geometry|
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