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Rule 110

The Rule 110 cellular automaton (often called simply Rule 110) is an elementary cellular automaton with interesting behavior on the boundary between stability and chaos. In this respect, it is similar to Conway's Game of Life: like the Game of Life, Rule 110 with a particular repeating background pattern is known to be Turing complete. This implies that…

History & Art

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Explore the main themes, entities and connections around Rule 110. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Overview

Definition

History

Interesting properties

The proof of universality

Advanced semantic analysis

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Map overview Semantic statistics

Rule 110

Nodes28
Edges27
Triples48
Avg. degree1.93
Density0.071429
Components1

How this topic connects Entity context

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Rule 110

Top relations

related to history · 14
Rule 110 → CA98, Cook, Cook's, In, Matthew Cook, New Kind, Rule, Santa Fe Institute, Science, Stephen Wolfram, This, Turing, Wolfram Research, Wolfram's
related to The proof of universality · 12
Rule 110 → Cook, Cook's, He, Interest, Matthew Cook, New Kind, Rule, Santa Fe Institute, Science, The, Turing, Wolfram Research
related to Interesting properties · 8
Rule 110 → Among, Class, Game, Life, Localized, Rule, Turing, Wolfram
related to Spaceships in Rule 110 · 5
Rule 110 → It, Rule, The, They, Three
related to Definition · 3
Rule 110 → In, The Rule, Whether
related to External links · 3
Rule 110 → Rule, Wolfram MathWorldRule, Wolfram's
related to Cyclic tag system working · 2
Rule 110 → Rule, The
is a · 1
Rule 110 → only one for which Turing completeness has been directly proven

Important terminology Word statistics

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Important terminology

rule 110 pattern tag cyclic proof structures repeating system wolfram new structure string background turing production rules known automaton cook

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Rule 110is aonly one for which Turing completeness has been directly proven0.90text
Rule 110related to Cyclic tag system workingThe0.60section
Rule 110related to Cyclic tag system workingRule0.60section
Rule 110related to DefinitionIn0.60section
Rule 110related to DefinitionWhether0.60section
Rule 110related to DefinitionThe Rule0.60section
Rule 110related to External linksRule0.60section
Rule 110related to External linksWolfram MathWorldRule0.60section
Rule 110related to External linksWolfram's0.60section
Rule 110related to historyIn0.60section
Rule 110related to historyMatthew Cook0.60section
Rule 110related to historyRule0.60section

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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