Densest Sphere Packing/Historical Note

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Historical Note on Densest Sphere Packing

While it is in a certain sense obvious that the most efficient technique for packing spheres is the one traditionally used by greengrocer's to stack orange's, it proved challenging to actually prove it.

Many mathematicians believe, and all physicists know, that the density cannot exceed $\dfrac \pi {\sqrt {18} }$.
-- Claude Ambrose Rogers

The proof was finally provided in $2014$ by Thomas Callister Hales.