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math.MGAug 13, 2009
48
citations (OpenAlex)
authors
  • Elizabeth R. Chen
institutions
  • University of Michigan
arXiv abstractPDF
paper

A Dense Packing of Regular Tetrahedra

arXiv:0908.1884 · doi:10.1007/s00454-008-9101-y

Abstract

We construct a dense packing of regular tetrahedra, with packing density D>>.7786157.

full color version

Cited by in corpus (18)

  • Jammed Hard-Particle Packings: From Kepler to Bernal and Beyond
  • Disordered, Quasicrystalline and Crystalline Phases of Densely Packed Tetrahedra
  • Dense Packings of the Platonic and Archimedean Solids
  • Dense Packings of Polyhedra: Platonic and Archimedean Solids
  • Basic Understanding of Condensed Phases of Matter via Packing Models
  • Maximum and Minimum Stable Random Packings of Platonic Solids
  • Dense crystalline dimer packings of regular tetrahedra
  • Phase Diagram of Hard Tetrahedra
  • Densest binary sphere packings
  • Exact Constructions of a Family of Dense Periodic Packings of Tetrahedra
  • Dense periodic packings of tetrahedra with small repeating units
  • Athermal jamming of soft frictionless Platonic solids
  • Hyperuniformity, quasi-long-range correlations, and void-space constraints in maximally random jammed particle packings. II. Anisotropy in particle shape
  • Complexity in surfaces of densest packings for families of polyhedra
  • Packing and Self-assembly of Truncated Triangular Bipyramids
  • Upper bound on the packing density of regular tetrahedra and octahedra
  • A method for dense packing discovery
  • Hard convex lens-shaped particles: Characterization of dense disordered packings
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