Formation of circumgyration patterns in two-dimentional computational verb cellular networks

Computational verb cellular network(CVCN) is a new kind of cellular computational platform where the cellular rules are computational verb rule. CVCNs are good models for modeling human social interactions with high-level modeling of human rational and irrational behaviors. Since the richness of patterns formed in 2D CVCNs, the mechanism of forming patterns is difficult to study mathematically. In this paper, the circumgyration patterns formed in 2D CVCN are studied. Based on computational verb local rules, mathematical equations are constructed to define the circumgyration solutions of 2D CVCN. The solution is calculated numerically using Matlab to verify the usefulness of the theoretical predictions.