An apparatus for playing a game comprises a three dimensional structure assembled from a plurality of interconnectable and disengageable construction elements. Each construction element is a shaped elongate body piece with two end mating faces or surfaces. Each mating surface has a male or female connector or two female orifices plus a four way male connector to enable each construction element to connect to and disengage other like construction elements. The interconnection between two contacting faces or surfaces is allowable in one orientation only.