Meshing Highly Regular Structures: The Case of Super Carbon Nanotubes of Arbitrary Order

Figure 13

Symmetries of hierarchically symmetric graphs. Isolated notes are omitted in the figures.

(a) Reflectional symmetry. The node branches of the hierarchically symmetric graph and the subgraphs of the constituent graph

(b) Translational symmetry. The node branches of the hierarchically symmetric graph and the subgraphs of the constituent graph. Border branch sets may be distinguished into interior and boundary border branch sets

(c) Rotational symmetry. The node branches of the hierarchically symmetric graph and the subgraphs of the constituent graph