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A Euclidean Ramsey result in the plane - MaRDI portal

A Euclidean Ramsey result in the plane (Q1684650)

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A Euclidean Ramsey result in the plane
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    A Euclidean Ramsey result in the plane (English)
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    12 December 2017
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    Summary: 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 the affirmative.
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    Euclidean Ramsey theory
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    plane
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    combinatorial geometry
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