In particular, we find overlapping stable regions for the Tri 4 Di 6 , Tet 6 Di , Tri 8 Di , Tet 6 Tri 8 , and Tet 12 Di 24 topologies (all topologies shown in Fig. ). We note that for Tet 12 Di 24 , they also found another stable structure, but the formation of this structure involves a decrease in symmetry of the angles around the tetratopic building blocks, which is not studied in our model. Therefore, we would not expect to find that stable configuration. Similarly, we support the findings in Ref. rotations within building blocks play a significant role, which our model will not currently capture due to its simplicity. However, the granularity of our approach begins to highlight how tuning the force field may better explain transitions between angles in our space. Additionally, there is an interesting question about the degree of deviation that is possible from existing design rules, and if we can control for or predict that leniency.