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About: De Bruijn's theorem     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:Theorem106752293, within Data Space : dbpedia.org associated with source document(s)

Type: yago:WikicatTheoremsInDiscreteGeometryyago:Abstraction100002137yago:Communication100033020yago:Message106598915yago:Proposition106750804yago:Statement106722453yago:Theorem106752293 New Facet based on Instances of this Class

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.