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Unformatted text preview: 6 chessboard with three corners removed using 1 3 rectangles Well color the board as follows: X R G B R X G B R G B R R G B R G B B R G B R G G B R G B R R G B R G X Note that anywhere you put a 1 3 triominoe on this board, it will cover exactly one red, one green, and one blue square. Since there are 33 squares to cover, any covering must use 11 triominoes. However, a quick count shows that there are 12 red squares, and thus they cannot all be covered by just 11 triominoes. Thus, there is no possible tiling of this board....
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- Summer '08