Dense Regular Packings of Irregular Nonconvex Particles

Joost de Graaf*, Rene van Roij, Marjolein Dijkstra

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We present a new numerical scheme to study systems of nonconvex, irregular, and punctured particles in an efficient manner. We employ this method to analyze regular packings of odd-shaped bodies, both from a nanoparticle and from a computational geometry perspective. Besides determining close-packed structures for 17 irregular shapes, we confirm several conjectures for the packings of a large set of 142 convex polyhedra and extend upon these. We also prove that we have obtained the densest packing for both rhombicuboctahedra and rhombic enneacontrahedra and we have improved upon the packing of enneagons and truncated tetrahedra.

Original languageEnglish
Article number155501
Number of pages5
JournalPhysical Review Letters
Volume107
Issue number15
DOIs
Publication statusPublished - 3 Oct 2011

Keywords

  • SILVER NANOPARTICLES
  • QUASI-CRYSTALLINE
  • LATTICE PACKINGS
  • TETRAHEDRA

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