Dense Periodic Packings of Tetrahedra with Small Repeating Units

@article{Kallus2010DensePP,
  title={Dense Periodic Packings of Tetrahedra with Small Repeating Units},
  author={Yoav Kallus and Veit Elser and Simon Gravel},
  journal={Discrete & Computational Geometry},
  year={2010},
  volume={44},
  pages={245-252}
}
We present a one-parameter family of periodic packings of regular tetrahedra, with the packing fraction 100/117 ≈ 0.8547, that are simple in the sense that they are transitive and their repeating units involve only four tetrahedra. The construction of the packings was inspired from results of a numerical search that yielded a similar packing. We present an analytic construction of the packings and a description of their properties. We also present a transitive packing with a repeating unit of… CONTINUE READING
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