Abstract: The present invention pertains to a war strategy game played on an octagon shaped polar matrix of eight radial paths and four latitudinal paths. Each radial path intersects each latitudinal path to define an array of playable positions. Each player is given nine pieces to place on the matrix at the start of the game. Each player moves one piece during each turn. Pieces move from one position to another along one radial or one latitudinal path. Players capture an opposing piece by occupying two opposed adjacent positions of that opposing piece. The matrix is combined with one or more other like-shaped matrixes to form a variety of city or battlefield settings. Two radial paths of each matrix join two corresponding radial paths of an abutting matrix. The city battlefield settings provide elongated radial paths or roadways along which the pieces move from one matrix to another.