Source authenticated

The Odd Area Conjecture for Unit Disks

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.

Exact FrontierDelta

Prior state unknowndisproved

Scope and record

Occurred: Jun 6, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: site-confirmed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.

Canonical aliases: The Odd Area Conjecture for Unit Disks · Odd area of unit disks

Confidence: Not scored

Registry verification: site confirmed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Stefan Steinerberger
human · human collaborator

AlphaEvolve
model · ai model contributor · Google DeepMind

Lineage and corrections

This event attributed to Stefan Steinerberger

This event attributed to AlphaEvolve

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