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The number of equilateral triangles of size formed by any set of points in is at most .
Source: erdosproblems.com/755
An accepted solution exists. The statement is true.
PROVED (LEAN). The site credits the proof, in a strong form, to Clemen, Dumitrescu and Liu [CDL25b]; the claim page Clemen, Dumitrescu and Liu records the result and its acceptance.