{
  "abstract": "We present the first systematic investigation of regular tetrahedra densely packed within a circular cylinder. Combining numerical simulations with exact analytical theory, we classify the densest configurations into two continuous, mathematically tractable families: chiral Tetra Helices and achiral Dimer Chains. Crucially, we reveal that the celebrated Boerdijk-Coxeter Helix is not an isolated anomaly, but a natural consequence of this cylindrical confinement. We further identify a striking symmetry-breaking bifurcation at a critical diameter, where the chiral helix coexists with an achiral dimer chain at a strictly identical packing fraction.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.26627",
  "author_total": 4,
  "authors": [
    {
      "name": "Gabrielle N. Jones"
    },
    {
      "name": "Adil Mughal"
    },
    {
      "name": "Philipp W. A. Schönhöfer"
    },
    {
      "name": "Sharon C. Glotzer"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/akqdekyf1drzk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.26627",
  "fulltext_url": null,
  "id": "akqdekyf1drzk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.26627",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.soft"
    ],
    [
      "openalex",
      "2604|Point processes and geometric inequalities"
    ]
  ],
  "openalex": "W7214087030",
  "pdf_url": "https://arxiv.org/pdf/2609.26627",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/akqdekyf1drzk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:39Z",
      "native_id": "2609.26627",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.26627"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.soft",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Dense Packing of Tetrahedra in Cylinders",
  "title_text": "Dense Packing of Tetrahedra in Cylinders",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:39Z",
  "url": "https://research.draconitic.com/paper/akqdekyf1drzk",
  "venue": "arXiv",
  "versions": []
}