{
  "id": "1111.3333",
  "version": "v1",
  "published": "2011-11-14T19:32:51.000Z",
  "updated": "2011-11-14T19:32:51.000Z",
  "title": "Minimal Degree Parameterizations of the Trefoil and Figure-Eight Knots",
  "authors": [
    "Samantha Pezzimenti"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "This paper determines the minimal degree sequence for two compact rational knots, namely the trefoil and figure-eight knots. We find explicit projections with the minimal degree sequence of each knot. This is done by modifying a non-compact rational minimal-degree parameterization of the trefoil and figure-eight knots to make it compact. This research was conducted at Ramapo College of New Jersey during the summer of 2011 with Dr. Donovan McFeron.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-14T19:32:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "figure-eight knots",
      "minimal degree parameterizations",
      "minimal degree sequence",
      "non-compact rational minimal-degree parameterization",
      "compact rational knots"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.3333P"
    }
  }
}