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 116

Rule properties

Example Rule icon

+ Equivalent rules | Rule descriptions

Simple initial conditions

Single black cell

+ First 100 initial conditions

Random initial conditions

Perfectly random initial condition Different probabilities of black Difference Patterns

+ Several random initial conditions

Ensemble properties

Power spectrum Density evolution



Finite size properties

State transition diagram Cycle lengths

+ State space as Cantor set

Computational properties

Backtracking trees


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