Any 2-coloring of the plane contains monochromatic unit rhombuses
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910138166673408 |
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| author | Moore, Kenneth Sagdeev, Arsenii |
| author_facet | Moore, Kenneth Sagdeev, Arsenii |
| contents | In this note, we prove that any 2-coloring of the plane contains 4 points of the same color forming a rhombus with unit sides and non-unit diagonals, answering a question of Axenovich, Liu, and the second author. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_15466 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Any 2-coloring of the plane contains monochromatic unit rhombuses Moore, Kenneth Sagdeev, Arsenii Combinatorics 05D10, 05C15, 52C10 In this note, we prove that any 2-coloring of the plane contains 4 points of the same color forming a rhombus with unit sides and non-unit diagonals, answering a question of Axenovich, Liu, and the second author. |
| title | Any 2-coloring of the plane contains monochromatic unit rhombuses |
| topic | Combinatorics 05D10, 05C15, 52C10 |
| url | https://arxiv.org/abs/2604.15466 |