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Erdős problem 670

Erdős asked whether every nn-point set in Euclidean space whose pairwise distances are mutually at least 1 apart must have diameter at least (1+o(1))n2(1+o(1))n^2. Disproved: an explicit high-dimensional construction beats the conjectured constant.

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  1. Source#670
  2. ResultNone
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  • construction

    VibeMathed

    Machine
    GPT-5.4 Pro, Harmonic Aristotle
    People
    Boon Suan Ho
    Reported outcome
    resolved
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