Abstract: Game apparatus comprising a first polyhedronal body suitably in the form of a tetrahedronal pyramid and a second polyhedronal body suitably in the form of a tetrahedronal pyramid are interconnected in spaced parallel relationship by an elongate member which extends through the vertices of and which is aligned with the axis of the two pyramids. Either pyramid can serve as the base for the other during play. The side surfaces of both pyramids are divided into a plurality of areas formed by lines intersecting the mid-points of the adjacent edges of the surfaces of each pyramid. Either pyramid can be used individually or they both can be used together during play. Also, a third pyramid can be placed on top of either of the two pyramids to alter the game apparatus for other types of games. A plurality of markers, suitably magnetic in character and divided into two individually distinct sets, are selectively positionable within the spaces of the first and second pyramids.