Cubes in cube puzzle

Question

It can be easily shown that a square may be cut in any number of (not necessarily same-sized) squares, except in 2, 3 or 5 squares. Are there any results regarding the same question for cubes? Is there a maximum number n without a cube-cutting solution?

I think the answer to your question is 47. See http://mathworld.wolfram.com/CubeDissection.html — Steve Kass, Mar 15 '14 at 21:50

score 1 · Accepted Answer · answered Mar 15 '14 at 21:48

1

This seems to give an answer of $47$ with an argument to show why.

answered Mar 15 '14 at 21:48

Mark Bennet

100,194

I couldn't find good results in higher dimensions and didn't have time to use the method suggested here. – Mark Bennet Mar 15 '14 at 22:01

Cubes in cube puzzle

1 Answers1