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unit-distance-proof.pdf

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# link_1z0sfa2waa4.pdf ## Metadata - PDFFormatVersion=1.5 - IsLinearized=false - IsAcroFormPresent=false - IsXFAPresent=false - IsCollectionPresent=false - IsSignaturesPresent=false - Creator=LaTeX with hyperref - Producer=xdvipdfmx (0.1) - CreationDate=D:20260519132601-00'00' ## Contents ### Page 1 Planar Point Sets with Many Unit DistancesOpenAIAbstractFor a finite planar set P , let ν(P ) be the number of unordered unit-distance pairs in P , and let ν(n) be the maximum of ν(P ) over all n-point planar sets. We prove that, for some fixed δ > 0, one has ν(n) ≥ n1+δ for infinitely many n. T

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