{ "id": "1606.04122", "version": "v1", "published": "2016-06-10T08:55:39.000Z", "updated": "2016-06-10T08:55:39.000Z", "title": "Box-Counting Dimension Using Triangles", "authors": [ "Tazeen Athar", "Nayab Khalid", "Shams Ul Islam" ], "categories": [ "math.DS", "math.FA" ], "abstract": "An alternate definition of the box-counting dimension is proposed, to provide a better approximation for fractals involving rotation such as the 'Bradley Spiral' structure. A curve fitting comparison of this definition with the box-counting dimension is also presented.", "revisions": [ { "version": "v1", "updated": "2016-06-10T08:55:39.000Z" } ], "analyses": { "subjects": [ "28A75", "28A80", "51M25" ], "keywords": [ "box-counting dimension", "alternate definition", "better approximation", "bradley spiral" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }