Consider a 2x2 board in which each square can be black or white. Obviously there are 16 different 2x2 patterns, counting reflections and rotations.
A 5x5 board has 16 different 2x2 subsquares. Can the squares of a 5x5 board be colored so that each 2x2 subsquare has a different pattern?

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Edited on May 27, 2008, 1:21 am

Posted by Penny on 2007-04-20 17:54:02