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Dense packings of polyhedra: Platonic and Archimedean solids

Dense packings of polyhedra: Platonic and Archimedean solids

Understanding the nature of dense particle packings is a subject of intense research in the physical, mathematical, and biological sciences. The preponderance of previous work has focused on spherical particles and very little is known about dense polyhedral packings. We formulate the problem of generating dense packings of nonoverlapping, nontiling …