{"pk":65014,"title":"Dihedral tilings of the sphere by regular polygons and quadrilaterals I: squares and rhombi","subtitle":null,"abstract":"We classify the edge-to-edge dihedral tilings of the sphere by squares and rhombi and develop a method that can be applied to future problems.\n \nMathematics Subject Classifications: 05B45, 52C20, 51M10, 51M20, 52B10\n \nKeywords: Classification, spherical tilings, dihedral tilings, quadrangulations, division of spaces","language":"en","license":{"name":"Creative Commons Attribution 4.0","short_name":"CC BY 4.0","text":"Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.\n\nNo additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.","url":"https://creativecommons.org/licenses/by/4.0"},"keywords":[{"word":"Classification"},{"word":"spherical tilings"},{"word":"dihedral tilings"},{"word":"quadrangulations"},{"word":"division of spaces"}],"section":"Research Articles","is_remote":true,"remote_url":"https://escholarship.org/uc/item/5c32t98w","frozenauthors":[{"first_name":"Hoi","middle_name":"Ping","last_name":"Luk","name_suffix":"","institution":"Katedra matematiky, Západočeská univerzita v Plzni, Plzeň, Czech Republic","department":""}],"date_submitted":"2025-09-12T15:50:38+02:00","date_accepted":"2025-09-12T15:50:38+02:00","date_published":"2025-09-15T09:00:00+02:00","render_galley":null,"galleys":[{"label":"","type":"pdf","path":"https://journalpub.escholarship.org/combinatorial_theory/article/65014/galley/49824/download/"}]}