Abstract: An interlockable connection system is disclosed herein for releasably joining a selected number of tiles together wherein each tile includes a plurality of receptacles adapted to snap-lock with a retaining element used in common with other tiles so as to provide a composite object composed of multiple tiles of various polygonal shapes. The retaining elements may be of many shapes and tiles may be of a variety of geometric configurations. The connection system provides convenient repeatable joining and unjoining of the retaining elements with the tiles and permits rotation of the joint through a large angle about the axis of the joined tile edges.