Abstract: Apparatus for use in performance of a game or puzzle comprises a base and a set of playpieces in the form of cubes or pieces notionally composed of cubes. The base defines a number of recesses each of which is arranged to seat playpieces such that an internal diagonal of each cube is vertical. The base recesses are so ordered with respect to each other that when each seats a playpiece, further playpieces can be seated on the pieces already seated to build up a structure. In one form of the apparatus, the playpieces are cubes carrying parts of a number of pictures on their faces so that when the cubes are correctly stacked the pictures are severally recomposed from their parts.