Domineering

Domineering (also called Stop-Gate or Crosscram) is a mathematical game played on a sheet of graph paper, with any set of designs traced out. For example, it can be played on a 6×6 square, a checkerboard, an entirely irregular polygon, or any combination thereof. Two players have a collection of dominoes which they place on the grid in turn, covering up squares. One player, Left, plays tiles vertically, while the other, Right, plays horizontally. As in most games in combinatorial game theory, the first player who cannot move loses. Domineering (also called Stop-Gate or Crosscram) is a mathematical game played on a sheet of graph paper, with any set of designs traced out. For example, it can be played on a 6×6 square, a checkerboard, an entirely irregular polygon, or any combination thereof. Two players have a collection of dominoes which they place on the grid in turn, covering up squares. One player, Left, plays tiles vertically, while the other, Right, plays horizontally. As in most games in combinatorial game theory, the first player who cannot move loses. Domineering is a partisan game, in that players use different pieces: the impartial version of the game is Cram.