It is an elegant impossibility: it resists not because of excess combinations, but because there is something on the board that no coating can correct.
Mutilated board and dominoes
Riddle statement
In a tablero of ajedrez \(8\times 8\) it eliminan two esquinas opuestas.
Is posible cubrir exactly the 62 casillas restantes with dominós \(1\times 2\), without solapamientos nor huecos?