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math-ph2009★ 181 cited
Dense Packings of Polyhedra: Platonic and Archimedean Solids
S. Torquato, Y. Jiao
We formulate the problem of generating dense packings of nonoverlapping, non-tiling polyhedra within an adaptive fundamental cell subject to periodic boundary conditions as an opti…
math-ph2009★ 57 cited
Geometrical Ambiguity of Pair Statistics. I. Point Configurations
Y. Jiao, F. H. Stillinger, S. Torquato
Point configurations have been widely used as model systems in condensed matter physics, materials science and biology. Statistical descriptors such as the -body distribution fu…