Spiral Wave Patterns in Two-Dimensional Computational Verb Cellular Networks

Computational verb cellular networks (CVCNs) are cellular networks, of which the local rules are computational verb rules. Many patterns had been found in CVCN previously. In this paper, newly-discovered one-, two-, three- and four-armed spiral waves in CVCNs are presented. Eight-armed spiral waves appear briefly co-existing with four-armed patterns at a low frequency. When initial states are uniformly randomly chosen from interval between 0 and 1, more than one spiral wave may be formed in a CVCN. The rotors of four-armed rotating spiral waves move slowly. All these spiral waves co-exist with checkerboard patterns, which are more visible when the array size is small.