English

Odd distances in colourings of the plane

Combinatorics 2023-08-25 v3 Metric Geometry

Abstract

We prove that every finite colouring of the plane contains a monochromatic pair of points at an odd distance from each other.

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Cite

@article{arxiv.2209.15598,
  title  = {Odd distances in colourings of the plane},
  author = {James Davies},
  journal= {arXiv preprint arXiv:2209.15598},
  year   = {2023}
}

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9 pages