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Densest Tetrahedra Packing

The cover article for the 13 August 2009 issue of Nature published a packing method for tetrahedra with a packing density of 0.782021, a new record. For complex packings, space is divided into an orderly arrangement of identical cells. In this packing, each cell has 72 tetrahedra, shown here.

Contributed by: Ed Pegg Jr

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S. Torquato and Y. Jiao, "Dense Packings of the Platonic and Archimedean Solids," Nature, 460(13), 2009 pp. 876–879.

Supplementary Information.

Packing (Wolfram MathWorld)

Tetrahedron (Wolfram MathWorld)

"Densest Tetrahedra Packing" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/DensestTetrahedraPacking/

Contributed by: Ed Pegg Jr

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