{
  "annotation_id": "50ba0b25-4a94-414d-b6f9-2e086948b12b",
  "date_created": "2026-02-17T05:53:16.175000Z",
  "date_modified": "2026-02-17T05:53:16.175000Z",
  "file_hash": "568b94057fa8cca2a93477a9d895653f2993bf8f6bc1cdbc87a148776016dbe2",
  "private": false,
  "record": {
    "abstract": "A tetrahedron is called a path tetrahedron, if it has three mutually orthogonal edges that do not intersect at a single point. A tetrahedron is called a 4-ball tetrahedron, if there exists a sphere tangent to all its edges. We derive two-sided tight bounds for dihedral angle sums of such tetrahedra. In particular, we prove that this sum lies in the interval (2{\\pi}, 2.5{\\pi}) for path tetrahedra and in [6 arccos 1/3, 3{\\pi}) for 4-ball tetrahedra. Also some of their useful properties are presented.",
    "arxiv_id": "2601.08304",
    "authors": [
      "Sergey Korotov",
      "Michal Krizek"
    ],
    "categories": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Two-sided bounds for dihedral angle sums of path and 4-ball tetrahedra",
    "url": "https://arxiv.org/abs/2601.08304",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fbdf8373-5e3c-4a2c-9d1c-660e168b2e6b",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}