2026-10-11 18:03 UTC

Reddit user Artwastelander claims Claude Code (Fable 5.1) produced a valid proof that 31 three-point lines is the maximum for 15 points in the orchard problem, which would extend AI-assisted resolution of open combinatorial-geometry cases.

state: expiredheat: lowuncertainty: highknownscott: nonecoding-agents ai-assisted-mathematics claude-codeArtwastelander

What is this?

A Reddit user (Artwastelander) claims that Claude Code, running a model referred to as 'Fable 5.1', produced a proof that 31 three-point lines is the maximum for 15 points in the orchard-visibility/orchard problem, a decades-old open combinatorial-geometry question. The supplied snippets show a cluster of similar unverified claims (a cipher solved, a conjecture disproved, this proof) circulating on Reddit around the same model, but none of the results confirm formal verification (e.g., Lean/Isabelle checking) of this specific proof โ€” one snippet explicitly notes verification is the recommended next step, not something that happened. The material is thin and self-reported; there's no mathematician, journal, or independent source confirming the result here, only social-media claims.

Why it matters to Scott

This is one more unverified social-media claim of an AI-generated math proof, the same pattern the radar already tracks extensively (claude-fable-jacobian-counterexample, claude-borsuk-counterexample, claude-hadamard-668-verification, gpt-5.6 proof claims, ai-mathematics concept spanning 5 episodes) and that Scott's own claim-bounded adversarial verification / trace-backed agent comparison concepts already address as a general epistemics pattern. It's an example of a pattern Scott already holds a position on, not new evidence or a new angle โ€” no mathematician or formal verification confirms it, and the case adds nothing beyond the existing cluster.
dev:concept.claim-bounded-adversarial-verificationradar:concept.ai-mathematicsradar:claude-fable-jacobian-counterexampleradar:claude-borsuk-counterexampleradar:claude-fable-5-coding-value
queries asked of Scott's wikis
  • AI-assisted proof verification workflows and trust
  • coding agent claims vs verified output track record
  • Claude Code capability claims skepticism
  • formal verification tooling Lean Isabelle agent pipelines
  • hype cycles around AI math breakthroughs
  • epistemics of unverified AI-generated claims on social media

Measured heat

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How the heat travelled

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Evidence (1) โ€” โญ canonical anchor

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๐ŸŸ  reddit โญJunping on the maths bandwagon: Claude Code helped settle a 52-year-old case of the orchard problem: with 15 points, 31 three-point lines is the maximum
ClaudeAI
Artwastelander06

Interpretation history

Decision trace