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A Square Problem (Posted on 2004-12-26) Difficulty: 4 of 5
Given a unit cube, what is the largest square that can be placed completely inside the cube?

No Solution Yet Submitted by SilverKnight    
Rating: 4.0000 (5 votes)

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re: solution.... | Comment 15 of 17 |
(In reply to solution.... by suman)

Ha, ha!  Same solution I thought of!  So I tried to prove suman right.  I failed because suman's solution is a RHOMBUS, not a square!  One diagonal of suman's "square" is sqrt(1^2+1^2+1^2)=sqrt(3) and the other diagonal is only sqrt(1^2+1^2)=sqrt(2)!
  Posted by McWorter on 2005-03-05 18:29:36

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