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Beauatiful combinatorial geometry: 27 discs inserted in a circle

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December 15, 2019
geometrycombinatoricspigeonhole principle

Problem Statement

20 20 discs of radius 1 1 are bounded by a circle of radius 10. 10. Show that in the interior of this circle is sufficient space to insert 7 7 discs of radius 13 \frac{1}{3} that doesn't touch any other disc.
Flavian Georgescu
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