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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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Where To Place The Square | Comment 2 of 17 |

It seems that the square will be produced by a plane bisecting the cube between two opposite faces. the angle to the edges will be 45 degrees, but the angle to the two faces will be about 70 degrees.

Addendum: And intuition tells me the corners of the square will rest 1/4 unit from the vertexes of the cube.

Edited on December 26, 2004, 4:57 pm
  Posted by CeeAnne on 2004-12-26 16:52:37

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