{ "id": "2403.07014", "version": "v1", "published": "2024-03-09T15:45:45.000Z", "updated": "2024-03-09T15:45:45.000Z", "title": "Dihedral Tilings of the Sphere by Regular Polygons and Quadrilaterals II: Regular Polygons with High Gonality and Rhombi", "authors": [ "Ho Man Cheung", "Hoi Ping Luk" ], "comment": "23 pages, 21 figures. arXiv admin note: text overlap with arXiv:2403.05941", "categories": [ "math.CO" ], "abstract": "We classify the dihedral edge-to-edge tilings of the sphere by regular polygons with gonality at least 5 and rhombi.", "revisions": [ { "version": "v1", "updated": "2024-03-09T15:45:45.000Z" } ], "analyses": { "subjects": [ "05B45", "52C20", "51M09", "51M20" ], "keywords": [ "regular polygons", "dihedral tilings", "high gonality", "quadrilaterals" ], "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable" } } }