{
  "annotation_id": "1dbb3614-a9a6-4a5c-998b-b51fe087f691",
  "date_created": "2026-03-02T18:01:04.404000Z",
  "date_modified": "2026-03-02T18:01:04.404000Z",
  "file_hash": "fbf5e55e6bd1b662bb339ec66b9f8b2d2684b978cdefbabcb1365f38263c6a8a",
  "private": false,
  "record": {
    "abstract": "Inspired by, and using methods of optimization derived from classical three\ndimensional electrostatics, we note a novel beautiful symmetric four\ndimensional polytope we have found with 80 vertices. We also describe how the\nmethod used to find this symmetric polytope, and related methods can\npotentially be used to find good examples for the kissing and packing problems\nin D dimensions.",
    "arxiv_id": "physics/0601139",
    "authors": [
      "Eric Lewin Altschuler",
      "Antonio Perez-Garrido",
      "Richard Stong"
    ],
    "categories": [
      "physics.comp-ph"
    ],
    "title": "A Novel Symmetric Four Dimensional Polytope Found Using Optimization   Strategies Inspired by Thomson\u0027s Problem of Charges on a Sphere",
    "url": "https://arxiv.org/abs/physics/0601139"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f8b66d41-a98c-4756-92f8-6ffd1ddb82b5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}