Of course one can easily fill a 12x12 grid of squares with "dominoes", e.g. pieces that measure 2x1 squares. But can you still do it if you remove two 1x1 corner squares, say the bottom left and bottom right corner? And what happens if you remove the bottom left and top right corner squares? Can you still fill it with dominoes?
Same Q can be posed for triominoes, e.g. 3x1 pieces, on a 12x12 board. When can you fill the board with triominoes, if three 1x1 squares have randomly been removed? What about 4x1 pieces? Or nx1 pieces on an kn*kn board?
Of course one can easily fill a 12x12 grid of squares with "dominoes", e.g. pieces that measure 2x1 squares. But can you still do it if you remove two 1x1 corner squares, say the bottom left and bottom right corner? And what happens if you remove the bottom left and top right corner squares? Can you still fill it with dominoes?
Same Q can be posed for triominoes, e.g. 3x1 pieces, on a 12x12 board. When can you fill the board with triominoes, if three 1x1 squares have randomly been removed? What about 4x1 pieces? Or nx1 pieces on an kn*kn board?