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Points in the plane

Source: Cono Sur 1996, Problem 6

May 8, 2018
cono surcombinatoricsgeometry

Problem Statement

Find all integers n≤3n \leq 3 such that there is a set SnS_n formed by nn points of the plane that satisfy the following two conditions: Any three points are not collinear. No point is found inside the circle whose diameter has ends at any two points of SnS_n.
NOTE: The points on the circumference are not considered to be inside the circle.
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