De Bruijn'S Theorem

(Theory)

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Theory
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What is De Bruijn's theorem?

In a 1969 paper, Dutch mathematician Nicolaas Govert de Bruijn proved several results about packing congruent rectangular bricks (of any dimension) into larger rectangular boxes, in such a way that no space is left over. One of these results is now known as de Bruijn's theorem. According to this theorem, a "harmonic brick" (one in which each side length is a multiple of the next smaller side length) can only be packed into a box whose dimensions are multiples of the brick's dimensions.

Technology Types

propositionstatementtheoremtheorems in discrete geometrytheory

Synonyms

Harmonic brick

Tech Info


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