What is the definition of a cellular automaton given in this clip?

Conditions

• The system is organized as a grid of cells.
• Each cell carries a state and has an associated neighborhood.
• The update rule uses the previous generation's neighborhood states.

Reasoning, step by step

1. Identify the first structural component: a grid of cells.
2. Identify the second component: each cell has a state and a neighborhood.
3. Identify the third component: the update rule, written as $\text{Cell state}_t = f(\text{neighborhood states}_{t-1})$.
4. Combine these three parts to form the complete definition.

Example

The whiteboard lists three numbered components: (1) Grid of cells, (2) Cell with state and neighborhood, (3) Cell state_t = f(neighborhood states_{t-1}).

Common misconceptions

• Assuming a cell's next state depends only on its own current state, rather than its neighborhood.
• Thinking that cellular automata are only about creating visually interesting patterns, ignoring their application to computational design and interactive media.

Watch the explanation

Explore next

• Why does each cell need a neighborhood in a cellular automaton?
• What does the formula Cell state_t = f(neighborhood states_{t-1}) mean?
• How do generations over time work in the cellular automaton described here?