Look-and-say string lengths: converging to λ ≈ 1.304 per step
Each sequence is read aloud to produce the next: "1" → "one 1" → "11". Lengths grow irregularly at first but the ratio stabilises at λ ≈ 1.304 (Conway's constant).
Length ratios converge to λ ≈ 1.304
The ratio of consecutive string lengths oscillates but converges to Conway's constant λ ≈ 1.30358.
Conway's cosmological theorem: 92 atomic subsequences
Every look-and-say sequence → 92 atoms in ≤ 24 steps
H (22), He (13112), Li (312), … – named after chemical elements
Each atom grows independently at rate λ ≈ 1.304. Total length grows as λⁿ regardless of start.
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