A system for producing small graphical symbols by partitioning symmetrical arrangements of tiles into figures composed of smaller shapes is described, and a procedure for constructing complete sets of all such figures for a given arrangement of tiles is presented. Several families of such tile arrangements are analyzed, and enumerations of the resulting figures are provided for arrangements of up to 16 tiles. The uses of graphical renderings of these figures in visual artworks is discussed, as are some methods for selecting subsets of the figures according to their intrinsic properties.