{
  "abstract": "We build on a recent proof of the universal optimality of the planar hexagonal lattice. We extend this result to demonstrate that, up to Euclidean motion, the hexagonal lattice is the only periodic configuration with this property.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06278",
  "author_total": 2,
  "authors": [
    {
      "name": "Markus Faulhuber"
    },
    {
      "name": "Philipp Petersen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fdjptvp1xaa53.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06278",
  "fulltext_url": null,
  "id": "fdjptvp1xaa53",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06278",
  "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",
      "math.MG"
    ]
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  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06278",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fdjptvp1xaa53.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:21:00Z",
      "native_id": "2611.06278",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06278"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.MG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Uniqueness of the hexagonal lattice's universal optimality",
  "title_text": "Uniqueness of the hexagonal lattice's universal optimality",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:14Z",
  "url": "https://research.draconitic.com/paper/fdjptvp1xaa53",
  "venue": "arXiv",
  "versions": []
}