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Problem 504
Let be the supremum of all such that in every set of size there exist three distinct points such that the angle determined by is at least . Determine .
Source: erdosproblems.com/504
- Geometry
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Solved, AnsweredAn accepted solution exists. Settled in another form, for example when its parts resolve differently or the question is open-ended.
Solved: the site labels the problem SOLVED, crediting Sendov's 1993 determination of for every ( is the equilateral triangle), recorded on the Sendov claim page (1993); the earlier values at powers of two are on the Erdős–Szekeres claim page (1960).