{
  "abstract": "Here's the narration for the MERLIN SCIENCE video.\n\n---\n\nThe finding, in one clean sentence: Penrose tiling, that famous aperiodic mosaic with five-fold symmetry, is not a special construction—it's a two-dimensional slice of an ordinary five-dimensional cubic lattice, cut at an angle set by the golden ratio.\n\nLet me put that in context. You know the crystallographic restriction theorem: in a periodic 2D or 3D lattice, you can only have two-, three-, four-, or six-fold rotational symmetry. Five-fold is forbidden. Penrose tilings get around that by being aperiodic—no translation repeats. But the deeper question has always been: is that acheat, or is there a unified structure underneath? The answer, refereed and published, is that the structure is a higher-dimensional lattice projection.\n\nHere's the mechanism you can evaluate. Start with a five-dimensional cubic lattice, Z^5. Project it onto a two-dimensional plane—call it physical space—but choose the plane's orientation so it's totally\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/9379m8gr6h6et.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23464914",
  "fulltext_url": null,
  "id": "9379m8gr6h6et",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23464914",
  "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": [],
  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9379m8gr6h6et.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:51Z",
      "native_id": "23464914",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23464914"
    }
  ],
  "subjects": [],
  "title": "MERLIN SCIENCE — Golden-Ratio Slices: Penrose Tiling from 5D Lattice Projections — E8 Intelligence Research",
  "title_text": "MERLIN SCIENCE — Golden-Ratio Slices: Penrose Tiling from 5D Lattice Projections — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-02T12:21:51Z",
  "url": "https://research.draconitic.com/paper/9379m8gr6h6et",
  "venue": "Zenodo",
  "versions": []
}