An analogous situation exists for each of the other polytopes comprising the configuration space. The TT-4 "twisted tetrahedral" case is particularly striking. As with tetrahedral T-4, the twisted tetrahedral TT-4 genus has only two polytope species (TT-4-R and TT-4-S) but there are 24 different orientation permutations of each. There are 9 great circles of high generic symmetry in the AB4 T-4 E-mode configuration space (red lines in Fig. ) which can be divided into two sets: 6 that pass-through tetrahedral T-4 configurations and 3 that do not. The remaining 3 high-symmetry great circles only include planar and linear configurations (square planar SP-4, gyfu planar GYP-4, and symmetric linear SL-4) and are characterised as featuring two orientation permutations of two different symmetric linear SL-4 species along with four orientation permutations of SP-4 and gyfu planar GYP-4 configurations. Details are given in the Supplementary Information Fig. and, and in the later Discussion.