Definitions and Preliminary Treatment

DefimUian 6.1 A ground form (of single coronoids), G, is an extremal single coronoid which is not drcumextremal. 

Definition 6.2 A higher member (of single coronoids) is synonymous with a drcumextremal single coronoid. 

The higher members occur with certain numbers of hexagons, say fiP. From eqns. (5.57) and (5.58) one obtains 

Instead of this elaborate specification of the (tiq 5q) formulas we shall be able to give a full account of them in terms of comprehensive spedfications and explicit expressions. All the three pictures are going to be invoked the Harary—Harborth—, the Balaban— and the new picture. But first some additional properties of the systems under consideration are needed. In this connection we shall introduce two subclasses of the ground forms and higher members perfect and imperfect. 

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