{
  "abstract": "Motivations and derivations for Heron's triangle area formula abound. But how would one \\emph{discover} the formula? We recount the challenge of designing a laboratory experiment to discover Heron's formula, and of doing so in the morning, in time for a noon class---a snapshot of collaboration with AI in fall 2025. We then reflect on extensions and generalizations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Notices of the American Mathematical Society, VOLUME 73, NUMBER 9 (October, 2026)",
  "arxiv": "2609.22320",
  "author_total": 1,
  "authors": [
    {
      "name": "Eric L. Grinberg"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bv7mtm4ba1f9k.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.22320",
  "fulltext_url": null,
  "id": "bv7mtm4ba1f9k",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.22320",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.HO"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.22320",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bv7mtm4ba1f9k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2609.22320",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.22320"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.HO",
      "subfield": "general"
    }
  ],
  "title": "Discovering Heron's Triangle Area Formula in a Morning in the Rain",
  "title_text": "Discovering Heron's Triangle Area Formula in a Morning in the Rain",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/bv7mtm4ba1f9k",
  "venue": "arXiv",
  "versions": []
}