Game of SIM

The Game of Sim is a paper and pencil game played by two players, Red and Blue, using six dots ('vertices') arranged in a hexagon. Players alternately draw a line between two dots. The first player to draw a triangle of their color between three dots loses. The game cannot end in a tie. 15 moves is the maximum. If the game actually lasts 15 moves then the loser will actually complete two triangles at once! Simmons, Gustavus J. "The game of SIM," J. Recreational Mathematics, 2(2), 1969, pp. 66. Gardner, M. Mathematical Games, Scientific American, February (1973), pp. 108-112 E. Mead, A Rose, C, Huang, The Game of SIM: A Winning Strategy for the Second Player, Mathematical Report No. 58, 1973, McMaster University. L.E.Shader, Another Strategy for SIM, Mathematics Magazine, Vol. 51. No. 1, pp. 60-62, 1978.