Abstract: A game apparatus comprising at least one concave polyhedron playing piece and a game board. The concave polyhedron playing piece has a plurality of differently colored faces. Each of the faces comprises a plurality of similarly colored facets. The concave polyhedron also comprises a plurality of vertices that coincide with the vertices of a notional regular polyhedron. The game board is divided into a plurality of polygons such that each of the polygons corresponds in size and shape to the faces of the notional regular polyhedron. The game apparatus also includes a plurality of secondary playing pieces in the form of pyramids.