# Densest Sphere Packing/Historical Note

Jump to navigation
Jump to search

## 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 $\dfrac \pi {\sqrt {18} }$.*

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

## Sources

- 1947: C.A. Rogers:
*Existence Theorems in the Geometry of Numbers*(*Ann. Math.***Ser. 2****Vol. 48**: 994 – 1002) www.jstor.org/stable/1969390

- 1986: David Wells:
*Curious and Interesting Numbers*... (previous) ... (next): $0 \cdotp 7404 \ldots$ - 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): $0 \cdotp 7404 \ldots$