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Erdős problem 353

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Let A⊆R2A\subseteq \mathbb{R}^2 be a measurable set with infinite measure. Must AA contain the vertices of an isosceles trapezoid of area 11? What about an isosceles triangle, or a right-angled triangle, or a cyclic quadrilateral, or a convex polygon with congruent sides?

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Exact provenance

Problem row
sha256:273ac0d508f4d5272ba850343db3eadd8d323a4fa681efb46b513a704dde75ef
Metadata
sha256:9fa1dcabfc43ebf905309a60f0347b2246e3526ca1cf2d4d24af5156f7839fa8
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:4d8470b18e464e08adf827fc5c13977cfebfc4746526b0c562d3b84e8e6c6b70
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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