Notes from the underground |
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Updated 1 August 2024 |
37. Dominoes on a chessboard
A chessboard has two diagonally-opposite corners removed.
A domino placed flat upon the board can cover two adjacent squares, as shown.
You have thirty-one such dominoes. Prove that it is impossible to cover the entire chessboard no matter how you arrange the dominoes.
A domino placed flat upon the board can cover two adjacent squares, as shown.
You have thirty-one such dominoes. Prove that it is impossible to cover the entire chessboard no matter how you arrange the dominoes.
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