Figure 4. The clockwise and anticlockwise channels in a single dimension. (Packets advance between multiple subnets)
IV. SCALABILITY OF MESH-OF-TORUS NETWORK
5.1 Scaling to 2D
In the previous section, we have discussed the routing algorithm for Mesh-of-Torus topology and we have analyzed the implementation on a single dimension. In this section, we will scale up the Mesh-of-Torus network in higher dimension.
A 4*4 torus network is the smallest component unit of Mesh-of-Torus network. Unlike the virtual hierarchical mesh network, Mesh-of-Torus network can be constructed by mesh into arbitrary size. So, we can express the size of the Mesh-of-Torus network as