Some Investigations into the Game of SIM

This chapter presents some Investigations into the Game of SIM. The game of SIM is played by two people upon the six vertices of a regular hexagon. Each player takes a turn connecting two previously unconnected vertices of the hexagon with a straight line using a colored pencil so that the lines made by the two players are readily distinguishable. The object of the game is to force our opponent to form a triangle without forming one ourselves. The player who first forms a triangle from three of his lines loses. Based on the tremendous number of possibilities it is clear that any attempt to develop a strategy that involves looking ahead to the end of the game is fruitless.