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Sphere packings: spoiler

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


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


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