 ##  [Cellular Automaton](/index.php/cellular-automaton) 

  ##  [Cellular Automaton](https://natural.quantumdictionary.io/cellular-automaton-0) 

  
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**Natural &amp; Formal Sciences Dictionary**

 
Definition

A discrete spatially extended dynamical system defined on a regular lattice of sites (cells), each taking values from a finite set and updated in synchronous discrete time steps by a uniform local rule that maps a cell's neighborhood state to its next state.

 
 ##  [Cellular Automaton](https://mathlogic.quantumdictionary.io/cellular-automaton-1) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A discrete dynamical model defined on a lattice (grid) of cells, each holding a finite state and updated synchronously or asynchronously by a local rule that depends on a cell's neighborhood, used to study spatiotemporal pattern formation, computation, and emergent complexity.