Abstract: A mathematical based board game apparatus employs a matrix grid game board containing a playing area defined by a plurality of grid units each capable of containing a game playing piece. In the playing area, the placement or removal of a plurality of regular game playing pieces takes place in accordance with logically defined move patterns, such as straight chains, +-shapes, X-shapes, S-shapes, etc., or various combinations thereof. During alternating designated turns the players completely cover, or uncover if the inverse of the game is played, all of the grid units defining the ultimate playing area to determine the winner of the game. A plurality of different overlays for the game board are provided, with changeable superimpositions of various overlays being utilized, if desired, to vary the size and/or configuration of the initially exposed game playing area. Blocking pieces are also provided which are deployable prior to the playing of the game to further define the exposed game playing area.