{
  "abstract": "The Alabama paradox occurs when increasing the total number of seats in a legislature causes a state to lose a seat. We revisit a geometric analysis of this paradox published by Brent Bradberry in 1992, correct an erroneous probability formula, investigate the source of the error, and explore further consequences of the geometry.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.40682",
  "author_total": 1,
  "authors": [
    {
      "name": "David McCune"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bxdmexcsjeq7m.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.40682",
  "fulltext_url": null,
  "id": "bxdmexcsjeq7m",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.40682",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.HO"
    ]
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  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.40682",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bxdmexcsjeq7m.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:20Z",
      "native_id": "2610.40682",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.40682"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.HO",
      "subfield": "general"
    }
  ],
  "title": "A Geometric View of Some Apportionment Paradoxes, Revisited",
  "title_text": "A Geometric View of Some Apportionment Paradoxes, Revisited",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:52Z",
  "url": "https://research.draconitic.com/paper/bxdmexcsjeq7m",
  "venue": "arXiv",
  "versions": []
}