We showed that while the general features of the Polytope Formalism of constitutional isomerism were simple to define, many resulting configurations would be physically impossible and the superexponential scaling would prove problematic. To address these issues, we introduced a focused approach called 𝒮 𝑚 ℬ 𝑛 partitioning that could be practically applied to many chemical problems of interest. Through several worked examples of H-tautomerism, we demonstrated the principles and power of the analysis and utility of the terminology. Graphs representing the interconfiguration relationships were utilized with these being equivalent to traditional chemical reaction networks. Further, these graphs also showed a one-to-one correspondence with the corresponding PESs (they are isomorphic).