olymmath

BALKAN-SL 2015 G3

    A set of points of the plane is called obtuse-angled if every three of it's points are not collinear and every triangle with vertices inside the set has one angle >91o>91^o . Is it correct that every finite obtuse-angled set can be extended to an infinite obtuse-angled set?

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    Dataset text AI-MO AoPS. Quoted with source.

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