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rsl12 · 03-17-2004, 06:59 PM

that was a great puzzle knifemissile. i kept going in the wrong direction over and over again, because it reminds me of this puzzle:

Again we have a defective chessboard that needs tiling. In this case, the defective chessboard is formed by taking a NxN square and then adding one more row of N-2 squares, centering it. This time we're actually using dominoes (2x1 dominoes). Prove that for any NxN chessboard, you can only tile it if N is even.

EDITED! made a mistake 1st time i posted. sorry about that.

03-17-2004, 06:59 PM	#11 (permalink)
rsl12 On the lam Location: northern va	that was a great puzzle knifemissile. i kept going in the wrong direction over and over again, because it reminds me of this puzzle: Again we have a defective chessboard that needs tiling. In this case, the defective chessboard is formed by taking a NxN square and then adding one more row of N-2 squares, centering it. This time we're actually using dominoes (2x1 dominoes). Prove that for any NxN chessboard, you can only tile it if N is even. EDITED! made a mistake 1st time i posted. sorry about that. __________________ oh baby oh baby, i like gravy. Last edited by rsl12; 03-17-2004 at 07:10 PM..