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The lattice is a grid filled with cells, each cell is uniquely identified by its coordinates and value.  The cellular automaton evolves via the transition function with respect to the discrete time variable.   
 
The lattice is a grid filled with cells, each cell is uniquely identified by its coordinates and value.  The cellular automaton evolves via the transition function with respect to the discrete time variable.   
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[[Image:Rule 184.png|left|thumb|The Rule 184 cellular automaton, run for 128 steps each from three random initial confgurations with density 25%, 50%, and 75%.]]
 
Lattice-Gas Cellular Automatons can be used to model physical systems such as fluid and biological systems.  ''Mathematica'' uses a cellular automatons as a random number generator.  
 
Lattice-Gas Cellular Automatons can be used to model physical systems such as fluid and biological systems.  ''Mathematica'' uses a cellular automatons as a random number generator.  
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==Further Readings==
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==Further reading==
 
:[http://www.stephenwolfram.com/publications/articles/ca/86-fluids/index.html Cellular Automaton Fluids: Basic Theory], Stephen Wolfram, 1986.
 
:[http://www.stephenwolfram.com/publications/articles/ca/86-fluids/index.html Cellular Automaton Fluids: Basic Theory], Stephen Wolfram, 1986.
 
:[http://www.stephenwolfram.com/publications/articles/ca/86-random/index.html Random Sequence Generation by Cellular Automata], Stephen Wolfram, 1986.
 
:[http://www.stephenwolfram.com/publications/articles/ca/86-random/index.html Random Sequence Generation by Cellular Automata], Stephen Wolfram, 1986.
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:[http://www.stephenwolfram.com/publications/articles/ca/85-cryptography/index.html Cryptography with Cellular Automata], Stephen Wolfram, 1986.
 
:[http://www.stephenwolfram.com/publications/articles/ca/85-cryptography/index.html Cryptography with Cellular Automata], Stephen Wolfram, 1986.
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[[category:mathematics]]
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[[Category:Mathematics]]
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[[category:computer science]]
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[[Category:Computer Science]]
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