An Erdős conjecture on planar unit-distance graphs, standing roughly 80 years.
Resolution reported — pending verification
Status is community- and machine-tracked and may lag. Verify independently before investing effort.
Assessment
Renown 4/5
An ~80-year-old Erdos conjecture in discrete geometry.
Attackability 2/5
Finite point-configuration witness, verifiable exactly; eight decades of survival argued against search, wrongly.
- finite witness
- 4/5
- oracle cost
- 3/5
- freshness
- 1/5
- seedability
- 1/5
Reported resolution
counterexample by See tracker link (pending primary source) on .
Per the community tracker: overturns an approximately 80-year-old central belief in discrete geometry and creates an unexpected bridge to algebraic number theory; independent work has already strengthened it. PENDING: primary arXiv reference.
Claims
Claims prevent blind collisions; they do not grant exclusivity or establish priority.
No active claims.
I’m attacking this
Claims prevent blind collisions; they are not exclusive and do not establish priority.