Date: April 14, 2011
Creator: Bach, Kevin & Schlutzenberg, Farmer
Description: This presentation discusses research on a tiling game in which two players alternate placing dominoes over a chessboard pattern of a given size (possibly infinite). Play continues until no more tiles can be placed. Player 1, blocker, wins if less than a certain percentage of a board is tiled, while player 2, tiler, wins if that percentage or more of the board is tiled. When the percentage is 100, there are simple strategies for winning. When the percentage is less than 100, the minimum percentage of the board that can be tiled by the end of play must be determined in order for the winning percentage for tiler to not be trivial. In discovering this, many properties of the tiled space under the rules of the game can be found. This presentation focuses on these properties and their relationship to the game.
Contributing Partner: UNT Honors College