{
  "id": "1502.02053",
  "version": "v1",
  "published": "2015-02-06T21:30:56.000Z",
  "updated": "2015-02-06T21:30:56.000Z",
  "title": "Negatively refracted light in tilings",
  "authors": [
    "Diana Davis",
    "Kelsey DiPietro",
    "Jenny Rustad",
    "Alexander St Laurent"
  ],
  "comment": "26 pages, 28 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We study the behavior of linear trajectories refracting through planar tilings, motivated by a recent discovery of physical substances with negative indices of refraction. We give general results for triangle tilings, and for a division of the plane by a finite number of lines. We also explore the particularly interesting dynamics of the trihexagonal tiling.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-06T21:30:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "negatively refracted light",
      "finite number",
      "triangle tilings",
      "general results",
      "planar tilings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}