The pursuit of perfect packing

By Tomaso Aste, D. Weaire. 2000

395 citations recorded by the source corpus.

Subfields: Mechanical Engineering, Strategy and Management

View Paper: https://www.semanticscholar.org/paper/3ddc88d3d9852a2ad7cfa16cb0b92ed027a66581

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In Mechanical Engineering

In Strategy and Management

Citations in the corpus

Investigating the geometrical structure of disordered sphere packings (2004, background): “The two large samples have about NG ∼ 80, 000 spheres in G, whereas the four smaller have about NG ∼ 20, 000.”
Edwards Statistical Mechanics for Jammed Granular Matter (2016, methodology): “Wang et al., 2010; Wang et al., 2012). Some recent systematic results are more controversial though, motivating a continued investigation of this concept (Irastorza, Carlevaro, and Pugnaloni, 2013). A detailed and rigorous numerical analysis confirms that, at low tapping intensities, the system cann”
Two-dimensional matter: order, curvature and defects (2008, background): “The equivalent packing of spherical caps was introduced in 1930 by the biologist Tammes [81] and connects the present problem to the rich physics and mathematics of packing [82,83].”
Improved sphere packing lower bounds from Hurwitz lattices (2011, background): “(See [AW] for a more detailed history of the sphere packing problem and [CS1], [CS2], and [Ha] for an overview of the known optimal sphere packings.”
Concrete material science: Past, present, and future innovations (2018, background): “Problem # 18 was formulated as follows (cited by Aste & Weaire [79]): I point out the following question (…) important to number theory and perhaps sometimes useful to physics and chemistry: How one can arrange most densely in space an infinite number of equal solids of given form, e.g. spheres with”
Jammed hard-particle packings: From Kepler to Bernal and beyond (2010, background): “But almost four centuries passed before Hales proved the general conjecture that there is no other arrangement of spheres in three-dimensional Euclidean space whose density can exceed that of the fcc packing (Hales, 2005); see Aste and Weaire, 2008 for a popular account of the proof.”
Packing optimization for automated generation of complex system's initial configurations for molecular dynamics and docking (2003, neutral): “17).”