Friday Puzzler -- Chess Board 1 of 3
Alex Y
This is the first of three puzzles involving a chess or checkers board. I'll post each of the others once the one before it is solved.
Assume your chess board is made up of 64 1"x1" squares. In addition, you have 32 dominoes that are 1" x 2". It s easy to see that you can cover the chess board with these dominoes.
Now, cut off diagonally opposite squares. E.g., if the columns are lettered a-h and the rows are numbered 1-8, eliminate the squares a1 and h8.
Now can you cover the remainder of he board with 31 dominoes? Show how or prove that it is impossible.