{
  "annotation_id": "5dd1e620-dfca-466a-808d-9fea2d08dc47",
  "date_created": "2026-03-02T18:01:06.604000Z",
  "date_modified": "2026-03-02T18:01:06.604000Z",
  "file_hash": "054c73214ec952a0fd6f4a6777a5683b0b2622f646f4bedfc863906af8726ecc",
  "private": false,
  "record": {
    "abstract": "Consider the network of elements connected by adjacency in atomic number and\nperiodic table column. If all elements except H-He are connected by identical\nsprings and constrained to a z-spiral in 2D, a map sans spring-crossing results\nfor various values of rest length in units of the H-He distance. If the\nz-spiral is removed, and the network allowed to relax in 3D, the resulting\nsurface with three holes has the topology of a T-shirt or open-handle teapot.\nMapping this to a shirt\u0027s front-back pattern yields a 2D table of elemental\ninter-connects in tabular (nearly rectilinear) form. Sample applications: The\nflat spiral (like other spiral patterns) might serve as basis for an\neducational board game, while the T-shirt table might serve as a starting point\nfor ``topologically informed\u0027\u0027 classroom periodic-table design projects with\nwearable awards.",
    "arxiv_id": "physics/0603026",
    "authors": [
      "P. Fraundorf"
    ],
    "categories": [
      "physics.ed-ph",
      "physics.chem-ph"
    ],
    "title": "Elements, topology, and T-shirts",
    "url": "https://arxiv.org/abs/physics/0603026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2373e74a-6868-4ac7-9ddf-f6a0ddca21d8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}