A nomenclature technique developed earlier by the author is expanded to produce an ordering of hexagons that nearly meets the original intent of Patterson's nomenclature rules in organic chemistry for a system of polycyclic aromatic hydrocarbons formed using only benzene modules. The result desired is a simple systematic method which orients a figure formed by the fusion of regular hexagonal rings so that, first, there is a maximum number of rings on a horizontal line and, second, that as many of the remaining rings as possible are above and to the right of this horizontal reference line. In the process of trying to formulate such a system, problems that are inherent in interpreting the intent of Patterson's rules and in pragmatically implementing these rules are examined. Furthermore, a minor modification of the technique produces a canonical orientation of a long molecule which can then be used to formulate the I.U.P.A.C. name for this molecule.