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Chessboard problem

Chessboard problem

Posers and Puzzles

K

Joined
18 Aug 06
Moves
538
Clock
24 Aug 06
1 edit
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OK, this is not really a chess problem, so I'll put it here...

Imagine a chessboard, but with the two corner white squares cut out.
You have 31 identical dominoes, each shaped to cover precisely 2 chess squares, horizontally or vertically (but, naturally, not diagonally).

Can you arrange the dominoes to cover the altered board completely? If so, how? If not, why not?

Prize of a game against me (🙄) for the most elegant solution, which doesn't involve "I tried it every way I could think, and I can't do it" 😉

X
Cancerous Bus Crash

p^2.sin(phi)

Joined
06 Sep 04
Moves
25076
Clock
24 Aug 06
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Each domino you place must cover one white square and one black square. As there are now 32 black squares and 30 white squares it is impossible to cover this modified chess board with dominoes.

K

Joined
18 Aug 06
Moves
538
Clock
24 Aug 06
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Woo hoo 😵

You win a game against mighty me (about 1450 btw, if you want to play)

c

Joined
29 Apr 05
Moves
827
Clock
24 Aug 06
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wtg xanthos, tell us how the game went 😉

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