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The speaker compares a one-dimensional cellular automaton to an array because the visual representation of a linear sequence of adjacent cells closely resembles an array, which makes it convenient and natural to implement in code.

Conditions: The cellular automaton is one-dimensional.; Cells are arranged in a linear sequence.

The speaker compares a one-dimensional cellular automaton to an array because the visual representation of a linear sequence of adjacent cells closely resembles an array, which makes it convenient and natural to implement in code.

Conditions: The cellular automaton is one-dimensional.; Cells are arranged in a linear sequence.

Each cell needs a neighborhood because a cell's state change over time is determined by analyzing its neighbors' states, rather than by the cell in isolation.

Conditions: The system is a cellular automaton.; Each cell has an associated neighborhood.

Each cell needs a neighborhood because a cell's state change over time is determined by analyzing its neighbors' states, rather than by the cell in isolation.

Conditions: The system is a cellular automaton.; Each cell has an associated neighborhood.