Cellular Automaton Models

Cellular automaton models are mathematical systems that simulate how simple rules can lead to complex behaviors over time. Imagine a grid made up of cells, where each cell can be in one of a few states, like “on” or “off.” At each step, cells change their state based on the states of their neighboring cells according to predefined rules. This process can model a variety of phenomena, such as the spread of diseases, traffic patterns, or the formation of patterns in nature, highlighting how intricate structures can emerge from basic, local interactions.