de Bruijn's Theorem

A box can be packed with a harmonic brick a×ab×abc iff the box has dimensions ap×abq×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

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

Referenced on Wolfram|Alpha

de Bruijn's Theorem

Cite this as:

Weisstein, Eric W. "de Bruijn's Theorem." From MathWorld--A Wolfram Web Resource.

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