Take a chessboard, and remove two diagonally-opposite squares (for instance, remove the upper-right and the lower-left corner). This leaves 62 squares total. Can you cover these squares with 31 domino pieces? Each domino covers two adjacent squares.
Hilmar.
Difference in opinions hath cost many millions of lives: for instance, whether flesh be bread, or bread be flesh; whether whistling be a vice or a virtue; whether it be better to kiss a post, or throw it into the fire... (from Gulliver's Travels)