Using our recent concept of quasi-molecule, we comment on the physical basis of the Periodic Table for the enumeration of Polyatomic Aromatic Hydrocarbons (PAH6), and Dias aufbau units on which it was based. The method here presented uses a mathematical Lemma and employs quantum chemistry calculations for the quasi-molecules (tiles) that are embedded on the parent molecule: if planar, all tiles must be planar and share the same plane. Case studies include prototypical PAHs that originate from C 10 H 8 by adding C 3 H or C 4 H 2 aufbau units, some radicals like C 17 H 11 , members of the C 3n H nþ2m family, and [n]triangulenes. Although a demonstration by examples is impracticable due to number and time limitations, a simplified approach based on generalized quasi-molecules is suggested. Apparently unreported thus far, the structures of a few novel planar molecules are presented, and so are difficulties often uncontested in assessing planarity via common quantum chemistry calculations.