Please comment your solutions, questions and remarks..
I learned this puzzle from Juha Oikkonen, but it is probably quite famous anyway.
You have left your chess board on the table in the summer house and when you came back you found out that mice have eaten two opposite angle squares. The chess board looks something like this:
You have also a lot of dominoes with you. One piece exactly covers two adjacent squares of the chess board. Can you fill the chess board with the domino pieces such that they cover exactly all the chess board?