Inspection of the angle-based ABn stereoisomeric configuration spaces generated by the method described in Section 1.4.2 reveals that they are highly structured with respect to contiguous generic symmetry. More specifically, for an k-dimensional configuration space there are k-dimensional contiguous regions of one generic symmetry bounded by (k -1)-dimensional walls of different symmetries, which in turn are bounded by (k -2)dimensional regions, until isolated (zero dimensional) points are reached. This property can be used to partition and discretise the configuration spaces.