Unformatted text preview: × 6 chessboard with three corners removed using 1 × 3 rectangles We’ll 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....
View
Full Document
 Summer '08
 STRAIN
 Math, pts, D. Prove, Rob Bayer, G R B G R R B G R B G G R B G R B B G R B G R R B G R B

Click to edit the document details