{
  "abstract": "FINDING: Search results are dominated by generic hyperplane separation theorems from machine learning and economics, with only one tangential arXiv paper on Coxeter reflection subgroups — no direct proof of the Coxeter theorem (number of reflection hyperplanes = sum of exponents) for H3/H4 was retrieved.\n\nMATH: No equations or constants extracted. The arXiv paper (math/0603667v2) concerns finite generation of reflection subgroups orthogonal to a given reflection in Coxeter groups, but does not state or prove the Coxeter counting theorem. The video results are irrelevant to the query.\n\nCONNECTION: None found. No occurrence of 0.382, 0.618, 0.786, 1.618, 2.618, base-60, or crystallographic symmetry. The H3 (icosahedral, 15 reflection planes, exponents 1,5,9 → sum=15) and H4 (600-cell, 60 reflection planes, exponents 1,11,19,29 → sum=60) structures are not addressed.\n\nDEPTH: 1 — The search failed to retrieve the requested theorem or any related geometric harmony. The only mathematic\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher, United Kingdom"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Andrew Stewart Caldin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4vw9s1dj6tvsf.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23658406",
  "fulltext_url": null,
  "id": "4vw9s1dj6tvsf",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23658406",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
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  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4vw9s1dj6tvsf.ris",
  "sources": [
    {
      "first_seen": "2026-11-09T12:21:36Z",
      "native_id": "23658406",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23658406"
    }
  ],
  "subjects": [],
  "title": "Search Results Fail to Retrieve Direct Proof of Coxeter Hyperplane Count for H3/H4 — E8 Intelligence Research",
  "title_text": "Search Results Fail to Retrieve Direct Proof of Coxeter Hyperplane Count for H3/H4 — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-09T12:21:36Z",
  "url": "https://research.draconitic.com/paper/4vw9s1dj6tvsf",
  "venue": "Zenodo",
  "versions": []
}