As molecular size and complexity is increased, significant chemical intuition can be gained from the barcode representations of the PEL topology across all dimensions. The number and dimensionality of bars as a function of the energy filtration value provides information about the distribution of critical points, including the energetic windows at which they occur. Such information has significant impact for applications related to the exploration of complex energy landscapes, both in materials as well as complex molecules. There, identifying thermodynamically stable species (global minima), as well as metastable species (local minima) and the transitions between them is essential to predicting phase phenomena or the discovery of new materials, polymorphs, or conformers. Analysis of the birth vs. death times of the different dimensional topological features provides insight into the symmetry, or regularity, of the PEL in the context of the systematic variations in heights of critical points of different dimensions (i.e. the distribution of bar lengths). There are also opportunities to learn about the coupled degrees of freedom that emerge from molecular building blocks and the patterns in their distribution that ultimately relate to the distribution of conformations and molecular motions that traverse those configurations within a given energy window.