Although useful for extrapolation, enumerated connectivity matrices need to be associated with a distinct 3D structure so that high-level calculations can be performed on demand. By coupling the connectivity of a structure with predefined atomic-radii for each species, a good initial guess for the position of the first adatom can be determined using a simple hard-sphere model. This allows structures to be produced independently of any user intervention, a necessary step for a fully automated high-throughput methodology.