1. Joined
    04 May '05
    Moves
    2621
    03 May '10 14:27
    Just found this part of the forum, so I'm not sure if this one has been posted before.

    If a domino piece is exactly the size of two squares of the chessboard, it would take 32 domino pieces to cover the 64 squares.

    Now, if you take chessboard and cut of the a1 and h8 square, you are left with 62 squares.
    Why is not possible to cover the rest of the board with 31 domino pieces?

    Looking for a simple and intuitive answer.
  2. Joined
    14 Dec '05
    Moves
    5692
    03 May '10 15:00
    Originally posted by pulern
    Just found this part of the forum, so I'm not sure if this one has been posted before.

    If a domino piece is exactly the size of two squares of the chessboard, it would take 32 domino pieces to cover the 64 squares.

    Now, if you take chessboard and cut of the a1 and h8 square, you are left with 62 squares.
    Why is not possible to cover the rest of the board with 31 domino pieces?

    Looking for a simple and intuitive answer.
    Each domino must cover one white square and one black square. Since you cut out two black squares, there will be still 32 white squares remaining, and therefore you need 32 dominoes to cover the board.
  3. Joined
    04 May '05
    Moves
    2621
    03 May '10 15:08
    nice one!
  4. SubscriberAThousandYoung
    All My Soldiers...
    tinyurl.com/y9ls7wbl
    Joined
    23 Aug '04
    Moves
    24791
    03 May '10 23:131 edit
    Never mind, move on.
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