Problem detail · source-aware
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For a family $F$ of an odd number $n$ of unit disks in the plane, let $\mathrm{OA}(F)$ be the area covered by an odd number of disks. It was conjectured that $\mathrm{OA}(F) \ge \pi$, the area of a single disk. False: configurations exist with smaller odd area.
The source statement is reproduced for indexing with attribution. Mathematical correctness requires domain-expert or mechanical review. VibeMath has not independently audited statement fidelity, correctness, priority, or novelty.
The counterexample configurations, at 51 and 151 disks, were investigated using AlphaEvolve. The author notes the behaviour differs between small and large numbers of disks, which is what the search surfaced.
Provider: Google DeepMind · Prompt public: unknown · Independence: unknown
The refutation is explicit finite disk configurations, so the odd area is a direct computation. Single-author arXiv note, not peer-reviewed.
Correctness: unknown · statement fidelity: unaudited · peer review: none
VibeMathed reports this item as resolved. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.
Source-reported tools: computation.
Independent: unknown · difference confidence: 0
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.