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

Figure 12

Hierarchically symmetric graphs. denotes the complete graph with three nodes.

(a) A 3-fold hierarchical symmetry, given by the automorphism , , of the natural minor

(b) The 3-fold symmetry axis (perpendicular to the plane) of the geometric representation of

(c) A 2-fold hierarchical symmetry, given by the automorphism , , of the natural minor

(d) One of the 2-fold symmetry axes (dashed line) of the geometric representation of