MathDB
2017 Geometry #3: set of 2017 points

Source:

February 19, 2017
geometry

Problem Statement

Let SS be a set of 20172017 points in the plane. Let RR be the radius of the smallest circle containing all points in SS on either the interior or boundary. Also, let DD be the longest distance between two of the points in SS. Let aa, bb be real numbers such that a≤DR≤ba\le \frac{D}{R}\le b for all possible sets SS, where aa is as large as possible and bb is as small as possible. Find the pair (a,b)(a, b).
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