The invention is directed to a method and apparatus for a video game system where a player tile is a part of a moving grid or grid-like display and also moves through it. Moves of the player tile may be allowed or disallowed according to the relationship between the design of the player tile and that of other identifiable areas of the display. The designs displayed may have special significance in the field of education or advertising or entertainment. In a variation of the game the objective is to change areas of the display to the same state.