Mutilated chessboard problem - ChessNetwork
British-American philosopher Max Black proposed the "Mutilated chessboard problem" in 1946 in his book "Critical Thinking". This tiling puzzle is an excellent critical thinking problem to pose to a classroom, teacher, or more generally those who enjoy mind game challenges. The problem is as follows: "Suppose a standard 8x8 chessboard has two diagonally opposite corners removed, leaving 62 squares. Is it possible to place 31 dominoes of size 2x1 so as to cover all of these squares?"