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de Bruijn's Theorem

A box can be packed with a Harmonic Brick $a\times ab\times abc$ Iff the box has dimensions $ap\times abq\times
abcr$ for some natural numbers $p$, $q$, $r$ (i.e., the box is a multiple of the brick).

See also Box-Packing Theorem, Conway Puzzle, Klarner's Theorem


Honsberger, R. Mathematical Gems II. Washington, DC: Math. Assoc. Amer., pp. 69-72, 1976.

© 1996-9 Eric W. Weisstein