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

Figure 16

Iterative construction of a hierarchically structured SCNT of arbitrary order. For arbitrarily large orders, the table can be thought of as extending to an infinite number of columns to the right. For any order , , the initial structure is the result of the last step of order . Step  3(b) is followed by Step  3(c), which results in the junction shown in the first row of the second column. The graphs and are given as and .