Abstract: This invention is an alteration on the ancient game of chess and allows for the stacking of various pieces upon each other. This stacking of pieces upon each other enables the combined pieces (called a stack) to move as a cohesive whole with either the combined movements of the contributing pieces or else in some augmented fashion. Enhanced game rules control the more complicated piece interactions. Some of the pieces have two parallel flat faces to facilitate stacking. Some of these pieces may be of different thicknesses so as to facilitate easy recognition of the type of piece. Some of the pieces may have markings upon the top and/or the sides so as to facilitate easy recognition of the type of piece.