Let's say that a domino covers two adjacent squares of a checker (or chess) board. On the left, we see such a domino, in black, on my board. There are 64 squares on the board, and 32 dominoes can cover the entire board. I have colored two opposite corner squares red. Can 31 dominoes cover the rest of the board, leaving the two red squares uncovered?
Wednesday, February 18, 2009
Ches Board
Let's say that a domino covers two adjacent squares of a checker (or chess) board. On the left, we see such a domino, in black, on my board. There are 64 squares on the board, and 32 dominoes can cover the entire board. I have colored two opposite corner squares red. Can 31 dominoes cover the rest of the board, leaving the two red squares uncovered?
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