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Polygons in a Cube (Posted on 2011-12-11) Difficulty: 2 of 5
Given 1985 points inside a unit cube, prove that precisely 32 of these points can be chosen in such a way that every closed polygon (possibly degenerate) with these points as vertices has perimeter less than 8√3

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
SolutionSolutionBrian Smith2016-07-17 10:43:30
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