Rhombic Enneacontahedron - Close-Packing Packing Fraction

Close-Packing Packing Fraction

The packing-fraction of the close-packed crystal formed by rhombic enneacontrahedra is given by:

It was proven that this close-packed value is assumed in a Bravais-type lattice by de Graaf (2011), who also described the lattice. The proof is conditionally dependent on Hales (2005) proof of the Kepler Conjecture and the proof of the inscribed-sphere upper bound for the packing of particles by Torquato (2009).

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