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Sphere packings

Sphere packings

Q: What are the densities of various nice packings of spheres (cubic, triangular close-packed, diamond molecule, etc)?

A:

 Density
Diamond molecule pi*sqrt(3) / 160.34008+
Cubic pi / 60.52359+
Body-centred cubic pi*sqrt(3) / 80.68017+
Triangular close-packing pi / (3*sqrt(2))0.74048+

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