It is the Polytope Formalism's unbiased treatment atomconnectivity permuted species that allows it to comprehensively describe isomeric possibilities and interrelationships regardless of "stability"; differences in the chemical elements involved can radically change the energetic landscape yet the topology remains the same. With previous approaches for describing constitutional isomerism only focusing on the low energy regions or just the local minima, each chemical scenario becomes idiosyncratic. Given our abstracted approach delivers more general configuration-space shape and structure results, it provides a complete picture of possibilities.