Erdős problem 189 · problems.science

If $\mathbb{R}^2$ is finitely coloured then must there exist some colour class which contains the vertices of a rectangle of every area?

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Problem row: sha256:e055401b33f81d4054b558f16bbef79c5417d5cfcf956ca9e5fc776a2b6f8880
Metadata: sha256:50c4736c7da5941183f51d2a9600a9e4fc13d3933e9a9931b15e505328f823d7
Observation: sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content: sha256:56970214a41ce70b3d7ce3a74bc1e7e0022a6b57b2d514aea424785d2a1f39bb

Repository: sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection: sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit: 2415f78e850aeee50afdca525c6f2e0ea606f207