The PES for the genera 9 -14 configuration space can be approximated analogously with free-base subporphyrin monoanion (Fig. ). Given the topologies of the graphs for genera 9 -14 are that of a 2-torus composed of 6 × 6 species, it follows that two periodic reaction coordinates (composed of first-order edges) span the configuration space. Using the graph information and only six DFT-calculated energies, the resulting PES is generated and given in Fig. . In Fig. is the PES given as a 6 × 6 2D periodic grid. The first order motions (solid black lines) correspond the to the graph in Fig. and form a regular rectilinear grid. The diagonal red lines are the secondorder motions and comprise two independent and interpenetrating networks (solid and dotted). These correspond to the two parts of the disconnected graph in Fig. using dashing as indicated in Fig. . A 3D rendering of the surface in Fig. is shown in Fig. . The Supplementary Information lists all species configurations and energy values corresponding to PES in Fig. . Note that the PES characters for genus 9 are that of an inflection point rather than local minimum due to stereoisomeric effects.