question archive   Consider a square with side length 24

  Consider a square with side length 24

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Consider a square with side length 24. You place 6 points into the square.

Is it possible to place the 6 points so that the two points nearest each other are at least 12 units apart? 

Is it possible to place the 6 points so that the two points nearest each other are at least 13 units apart? 

Is it possible to place the 6 points so that the two points nearest each other are at least 13.25 units apart? 

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