A Euclidean Ramsey result in the plane
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math.MG
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pointseuclideanplanequestionramseyunitaffirmativealways
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An old question in Euclidean Ramsey theory asks, if the points in the plane are red-blue coloured, does there always exist a red pair of points at unit distance or five blue points in line separated by unit distances? An elementary proof answers this question in affirmative.
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