Erdős problem 352 · problems.science

Is there some $c > 0$ such that every measurable $A \subseteq \mathbb{R}^2$ of measure $\geq c$ contains the vertices of a triangle of area 1?

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Technical detailsExact roots, source, and retained record identifiers

Problem row: sha256:c2d1427f503e37f91255b3073b557e33822a18cc67ab2c33058c7465083fc155
Metadata: sha256:d5f6196fbe590d403b8a201982f8d1a6c036b7a6250c27def210f6ca983428de
Observation: sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content: sha256:0240359bc0d5427e14c665982fa19b8323103bf109a522c0903dce5c38883a64

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