From: [email removed upon request] (N Christopher Phillips)
Subject: Re: partitioning the cube?
Date: 24 Mar 1999 19:15:12 -0800
Newsgroups: sci.math.research
Summary: Reference
Keywords: Dissecting a cube into distinct smaller cubes

In article <bernardi-2403991110590001@sigma.math.jussieu.fr>,
Dominique Bernardi <bernardi@math.jussieu.fr> wrote:
 ...
>Anybody has a reference for this problem ?
[Dissecting a cube into smaller cubes, all different, at least according
to what I recall from previous postings.]

        I saw this problem a very long time ago in one of Martin Gardner's
mathematical recreations books. Being at home, I could look it up. The
proof is described on page 208 of:

Martin Gardner, The 2nd Scientific American Book of Mathematical Puzzles
and Diversions, Simon and Schuster, New York, 1961.

This is in an appendix to a section describing the finding of a solution
to the 2 dimensional version. The proof is attributed to the following
paper, which I haven't looked at:

R. L. Brooks, C. A. B. Smith, A. H. Stone, and W. T. Tutte, The
dissection of rectangles into squares, Duke Math. J. 7 (1940), 312-340.

						---Chris Phillips