question: in a hexagon with side 2 there are not more than 19 points with the minimum distance of 1.
I can prove this for 24 points. they make $8\times3=24$ regions so with 25 points there's at least 1 with a point inside.
2026-04-03 14:51:07.1775227867
A hexagon with side 2 which contains 20 points there are at least 2 with a distance less than 1
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