Abstract
We show that the optimal packing of hard spheres in an infinitely long cylinder yields structures characterized by a screw symmetry. Each packing can be assembled by stacking a basic unit cell ad infinitum along the length of the cylinder with each subsequent unit cell rotated by the same twist angle with respect to the previous one. In this paper we quantitatively describe the nature of this screw operation for all such packings in the range and also briefly discuss their helicity.
| Original language | English |
|---|---|
| Pages (from-to) | 4070-4077 |
| Number of pages | 8 |
| Journal | Philosophical Magazine |
| Volume | 93 |
| Issue number | 31-33 |
| Early online date | 12 Jul 2013 |
| DOIs | |
| Publication status | Published - 2013 |
Keywords
- hard sphere packing
- screw symmetry
- phyllotaxis