English: Nicolaas De Bruijn's visual proof that a 6x6x6 box cannot be fully filled with 1x2x4 cuboids, drawn by CMG Lee. When the unit cubes are shaded as in the left figure, each cuboid occupies exactly 2 white and 2 black cubes. The coloured outlines show all possible configurations. However, there are more white than black cubes, as in the right figure.
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{{Information |description ={{en|1=Nicolaas De Bruijn's visual proof that a 6x6x6 box cannot be fully filled with 1x2x4 cuboids, drawn by CMG Lee. When the unit cubes are shaded as in the left figure, each cuboid occupies exactly 2 white and 2 black cubes. The coloured outlines show all possible configurations. However, there are more white than black cubes, as in the right figure.}} |date = |source ={{own}} |author =User:Cmglee }} [[Category:Mathematical diagra...
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Short title
De Bruijn theorem 6x6x6
Image title
Nicolaas De Bruijn's visual proof that a 6x6x6 box cannot be fully filled with 1x2x4 cuboids, drawn by CMG Lee. When the unit cubes are shaded as in the left figure, each cuboid occupies exactly 2 white and 2 black cubes. The coloured outlines show all possible configurations. However, there are more white than black cubes, as in the right figure.