A coronoid system H can be regarded as a hexagonal system that is allo
wed to have 'holes' such that the perimeter of H and the perimeters of
the holes are pairwise disjoint. H is said to be normal if it has no
fixed bond, A normal coronoid system is called regular if it can be co
nstructed from a smaller one that has already been recognized as regul
ar by adding a hexagon in some special ways. In this paper a necessary
and sufficient condition for a coronoid system to be regular is given
.