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) / 16 | 0.34008+ |

Cubic | pi / 6 | 0.52359+ |

Body-centred cubic | pi*sqrt(3) / 8 | 0.68017+ |

Triangular close-packing | pi / (3*sqrt(2)) | 0.74048+ |

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