Rule 110 — Universal Computation

Gliders · Complex Patterns · Wolfram's Universality Theorem

Controls

rule(L,C,R) → bit:
pattern 111→bit7, 110→bit6, …
Rule 110 (Wolfram 1986, Cook 2004): proved Turing-complete. Supports persistent gliders that interact to simulate universal computation. One of the simplest known universal systems. Class IV behavior: localized structures on complex background.
Notable rules: 30 (chaos/random), 90 (Sierpiński), 110 (universal), 54 (complex).