File:De Bruijn theorem coloring.svg

Summary

Description
English: A coloring of a 6 × 6 × 6 box with 104 black unit cubes and 112 white unit cubes. No matter how a 1 × 2 × 4 brick is placed within the box, it uses equal numbers of black and white cubes, so any packing of the bricks will always have at least eight white cubes left over as wasted space; the impossibility of packing this box with these bricks is a special case of De Bruijn's theorem.
Date
Source Own work
Author David Eppstein

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Category:CC-Zero#De%20Bruijn%20theorem%20coloring.svgCategory:Self-published work
Category:Files by User:David Eppstein from en.wikipedia Category:Cube Category:Nicolaas Govert de Bruijn (mathematician)
Category:CC-Zero Category:Cube Category:Files by User:David Eppstein from en.wikipedia Category:Nicolaas Govert de Bruijn (mathematician) Category:Self-published work