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Cube the Cube (Posted on 2004-10-02) Difficulty: 5 of 5
Remember Square Divisions? This problem demonstrates the deconstruction of a square into smaller squares with integer-length sides.

Given a cube with edge length 60, can you find a deconstruction of the cube into smaller cubes (none of which are alike) with integer length sides (or prove it can't be done)?

No Solution Yet Submitted by SilverKnight    
Rating: 2.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Ken, I agree | Comment 6 of 12 |

I don't see a solution to this problem.

Regardless of the size of the smallest cube, there remains the problem of lining up in 3 dimensions other sized cubes around this cube without creating gaps. (Even if you stick it in the corner of the 60 x 60 cube.)


  Posted by Stephanie Baker on 2004-10-05 22:44:04
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