Exact constructions of a family of dense periodic packings of tetrahedra.

@article{Torquato2010ExactCO,
  title={Exact constructions of a family of dense periodic packings of tetrahedra.},
  author={Salvatore Torquato and Yang Jiao},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2010},
  volume={81 4 Pt 1},
  pages={
          041310
        }
}
  • S. Torquato, Y. Jiao
  • Published 30 April 2010
  • Mathematics, Medicine, Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
The determination of the densest packings of regular tetrahedra (one of the five Platonic solids) is attracting great attention as evidenced by the rapid pace at which packing records are being broken and the fascinating packing structures that have emerged. Here we provide the most general analytical formulation to date to construct dense periodic packings of tetrahedra with four particles per fundamental cell. This analysis results in six-parameter family of dense tetrahedron packings that… 
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