Cellular Automaton Update Rules🎞️\[ C_{i,t} = \begin{cases} 1 & \text{if cell } i \text{ is ON}_t\\ 0 & \text{if cell } i \text{ is OFF}_t \end{cases} \]\[ \sum_{i \in \text{neighbor}} C_{i, t} \text{ } \in S \implies \text{ON}_{t+1} \] \[ \sum_{i \in \text{neighbor}} C_{i, t} \text{ } \notin S \implies \text{OFF}_{t+1} \]Update Rule Set for ON cells:\[ S_{\text{ON}_t}: \] 0 1 2 3 4 5 6 7 8Update Rule Set for OFF cells:\[ S_{\text{OFF}_t}: \] 0 1 2 3 4 5 6 7 8Cellular Automato...