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Robert, I did test this situation a bit. <p>Let's say that its the end game and the loosing player has a lone King and the opposing player has a King and Queen. The loosing King is being progressively cornered. The loosing player starts to drop Anti-Tiles to block ranks and files and diagonals. Eventually, the loosing King will block himself into a corner with Anti-Tiles, hoping for stalemate by the 50-move rule, but this does not save him. Once the board is completely filled with Tiles and Anti-Tiles, this tactic fails. The loosing King is forced to move. As the King moves Tiles are created! In addition, the winning player's King can replace Anti-Tiles with Tiles everywhere except adjacent to the loosing King. Then the winning side can force checkmate. </p> <p>The above scenario assumes that the loosing player has been very succesful in droping Anti-Tiles. By the end game, most critical squares have Tiles. In order to drop an Anti-Tile, the Tile must first be removed. This creates an opportunity for the winning player to drop a Tile there. This Tile cannot be removed by the loosing player.</p> <p>The only hope that the loosing player has is that the winning player goes 50 moves without being able to put him in check or move a Pawn. This is possible, but unlikely.</p><p>Perhaps there is a tricky way to avoid loosing by dropping Anti-Tiles, but I don't think so. I would like to know if there is.</p>