The Wolfram Atlas of Simple Programs The Wolfram Atlas of Simple Programs

System Categories Cellular Automata Turing Machines Mobile Automata Substitution Systems Tag Systems Register Machines Symbolic Systems Systems Based on Numbers Network Systems Multiway Systems Systems Based on Constraints Axiom Systems
Cellular Automata > One-dimensional > 

Elementary Cellular Automata

Rule 9 - Rule properties

Example See this image for all rules

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Mathematica program Underlying data Magnify image

Equivalent rules See this image for all rulesMore information

Black-White Left-Right BW & LR
111 65 125
Mathematica program

Rule descriptions

Mathematica form

CellularAutomaton[9,init,t]

Boolean form See this image for all rules


Algebraic form See this image for all rules

Mod[(1 + p) (1 + q + r), 2]

Neighbor dependency See this image for all rules



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