Emergence of Turing Patterns in a Simple Cellular Automata-Like Model via Exchange of Integer Values between Adjacent Cells

Figure 8

Simulation results for and ( , ). Four black cells were placed in the simulation field as an initial condition. For , self-organized patterns emerged over a wide range of w. Spotted patterns appeared for and striped patterns appeared for For various spatial patterns appeared. Overall, when w was increased, a steady state appeared in the form of a single black spot. As was increased, labyrinthine patterns emerged (e.g., , ). Specifically, when the value of d was increased, unique patterns emerged.