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Edge of Chaos

Exploring Langton's Lambda Parameter in Cellular Automata

λ=0 (Ordered) λ≈0.27 (Edge) λ=1 (Chaotic)
0.27
4
1
Edge of Chaos
Complex, life-like behavior
Generation: 0
Entropy: 0.00
Active Cells: 0%
Rule Table Size: 0

About Edge of Chaos

Chris Langton discovered that cellular automata exhibit a phase transition at a critical value λ ≈ 0.273. Below this value, patterns die out (ordered). Above it, they become random (chaotic). At the edge, complex computation-like behavior emerges - the "edge of chaos" where life and intelligence may thrive.