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).

Read more about this topic:  Rhombic Enneacontahedron

Famous quotes containing the words packing and/or fraction:

    He had a wonderful talent for packing thought close, and rendering it portable.
    Thomas Babington Macaulay (1800–1859)

    The visual is sorely undervalued in modern scholarship. Art history has attained only a fraction of the conceptual sophistication of literary criticism.... Drunk with self-love, criticism has hugely overestimated the centrality of language to western culture. It has failed to see the electrifying sign language of images.
    Camille Paglia (b. 1947)