How can a 2x4 rectangle be cut (and still remain in one piece) and be able to be folded into a 1x1x1 cube?

How about a 3x3 square?

(In reply to solution by Charlie)

Redundancy is important.  As I look at Charlie's Part 1 we can make the unlabelled cell redundant by cutting from right to left across three cells.

Diagonally fold/crimp that cell so that you have an "L" shape in whatever rotation it appears.

Now, just crimp the edges between the faces and fold into a cube;  yes we have two squares/faces occupying the same face of the cube which has not been denied.

I need to reread and check Charlie on his second but I don't think that he is suggesting a "J" solution.  "J"?  One cut in that shape.  I think I have three solutions that embody that.  That is part of tomorrow's game plan.

Posted by brianjn on 2007-12-19 09:42:22