If you want to cut a 3x3x3 cube in 1x1x1 pieces by using plane cuts, you would need six cuts, if no rearranging of pieces is allowed.
How many cuts would you need, if you were allowed to rearrange the pieces after each cut, and why?
Six cuts is the minimum any way you slice it.
Consider the center cube. It will need to have all six faces formed by separate cuts.
Posted by Jer
on 2004-04-28 10:16:51