{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,28]],"date-time":"2026-03-28T07:40:51Z","timestamp":1774683651240,"version":"3.50.1"},"reference-count":11,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2025,1,31]],"date-time":"2025-01-31T00:00:00Z","timestamp":1738281600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2025,1,31]],"date-time":"2025-01-31T00:00:00Z","timestamp":1738281600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"name":"Hong Kong RGC General Research Fund","award":["16303515"],"award-info":[{"award-number":["16303515"]}]},{"name":"National Natural Science Foundation of China\/RGC Joint Research Scheme","award":["16305920"],"award-info":[{"award-number":["16305920"]}]},{"name":"Plzen\u0148sk\u00fd Kraj a Za\u00e1pado\u010desk\u00e9 univerzity v Plzni","award":["Academic Career in Pilsen 2024"],"award-info":[{"award-number":["Academic Career in Pilsen 2024"]}]},{"DOI":"10.13039\/100009056","name":"University of West Bohemia","doi-asserted-by":"crossref","id":[{"id":"10.13039\/100009056","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Graphs and Combinatorics"],"published-print":{"date-parts":[[2025,2]]},"abstract":"<jats:title>Abstract<\/jats:title>\n          <jats:p>We develop a systematic method for deriving the angle combinations at all vertices in an edge-to-edge tiling of the sphere by pentagons with the same five angles. The method provides an effective and necessary tool in solving many tiling problems about pentagonal tilings of the sphere. More significantly, we determine all the angle combinations that allow free and continuous choices of two angle values.<\/jats:p>","DOI":"10.1007\/s00373-024-02879-1","type":"journal-article","created":{"date-parts":[[2025,1,31]],"date-time":"2025-01-31T10:55:28Z","timestamp":1738320928000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Angle Combinations in Tilings of the Sphere by Angle Congruent Pentagons"],"prefix":"10.1007","volume":"41","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9369-5400","authenticated-orcid":false,"given":"Hoi Ping","family":"Luk","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7509-4529","authenticated-orcid":false,"given":"Min","family":"Yan","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,1,31]]},"reference":[{"issue":"1","key":"2879_CR1","first-page":"1","volume":"85","author":"Y Akama","year":"2023","unstructured":"Akama, Y., Yan, M.: On deformed dodecahedron tilings. 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