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20092025
most citedDense Packings of Polyhedra: Platonic and Archimedean Solids

181 citations · 1.1k across the 20 of their papers we have counts for

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Showing 2011Show all

5 papers · 1 filter

physics.bio-ph2011★ 104 cited

Emergent Behaviors from A Cellular Automaton Model for Invasive Tumor Growth in Heterogeneous Microenvironments

Yang Jiao, Salvatore Torquato

Understanding tumor invasion and metastasis is of crucial importance for both fundamental cancer research and clinical practice. In vitro experiments have established that the inva…

cond-mat.soft2011

Analytical Construction of A Dense Packing of Truncated Tetrahedra

Yang Jiao, Sal Torquato

Dense polyhedron packings are useful models of a variety of condensed matter and biological systems and have intrigued scientists mathematicians for centuries. Recently, organizing…

cond-mat.stat-mech2011★ 48 cited

Hyperuniformity, quasi-long-range correlations, and void-space constraints in maximally random jammed particle packings. II. Anisotropy in particle shape

Chase E. Zachary, Yang Jiao, Salvatore Torquato

We extend the results from the first part of this series of two papers by examining hyperuniformity in heterogeneous media composed of impenetrable anisotropic inclusions. Specific…

cond-mat.stat-mech2011★ 73 cited

Hyperuniformity, quasi-long-range correlations, and void-space constraints in maximally random jammed particle packings. I. Polydisperse spheres

Chase E. Zachary, Yang Jiao, Salvatore Torquato

Hyperuniform many-particle distributions possess a local number variance that grows more slowly than the volume of an observation window, implying that the local density is effecti…

math.MG2011★ 18 cited

Rigidity of spherical codes

Henry Cohn, Yang Jiao, Abhinav Kumar +1

A packing of spherical caps on the surface of a sphere (that is, a spherical code) is called rigid or jammed if it is isolated within the space of packings. In other words, aside f…