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Communication: A packing of truncated tetrahedra that nearly fills all of space and its melting properties
2011
Journal of Chemical Physics
Preserved Fulltext
Dense polyhedron packings are useful models of a variety of condensed matter and biological systems and have intrigued scientists and mathematicians for centuries. Here, we analytically construct the densest known packing of truncated tetrahedra with a remarkably high packing fraction φ = 207/208 = 0.995192. . . , which is amazingly close to unity and strongly implies its optimality. This construction is based on a generalized organizing principle for polyhedra lacking central symmetry that we
doi:10.1063/1.3653938
pmid:22029288
fatcat:thznsae7pngvplcty6pnpnskhi