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Research

OpenAI's reasoning model disproves 60-year-old geometry conjecture

OpenAI announced that a general-purpose reasoning model discovered a counterexample to Erdős's unit-distance bound, a 60-year-old conjecture in discrete geometry. The claim raises questions about reproducibility and

1 min read

OpenAI announced that one of its general-purpose reasoning models found a construction disproving the conjectured n^{1+O(1/log log n)} upper bound in Erdős's planar unit-distance problem, a foundational open question in discrete geometry. The model discovered finite planar point sets with more than ...

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Method & sources
Source type
Primary publication (lab/vendor blog) — our analysis + implication
Source link
r/machinelearning
Published
UTC
Byline
By the gotcontext.ai team (editorial standards)
Correction?
corrections@gotcontext.ai