geometry-topology / Discrete geometry
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.
Temporal state
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Append-only history
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.
Research memory
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.
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