{"id":"https://openalex.org/W4407049765","doi":"https://doi.org/10.1007/s00373-024-02879-1","title":"Angle Combinations in Tilings of the Sphere by Angle Congruent Pentagons","display_name":"Angle Combinations in Tilings of the Sphere by Angle Congruent Pentagons","publication_year":2025,"publication_date":"2025-01-31","ids":{"openalex":"https://openalex.org/W4407049765","doi":"https://doi.org/10.1007/s00373-024-02879-1"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-024-02879-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00373-024-02879-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00373-024-02879-1.pdf","source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00373-024-02879-1.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044918066","display_name":"Hoi Ping Luk","orcid":"https://orcid.org/0000-0001-9369-5400"},"institutions":[{"id":"https://openalex.org/I92715842","display_name":"University of West Bohemia in Pilsen","ror":"https://ror.org/040t43x18","country_code":"CZ","type":"education","lineage":["https://openalex.org/I92715842"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Hoi Ping Luk","raw_affiliation_strings":["Z\u00e1pado\u010desk\u00e1 univerzita v Plzni, Plze\u0148, Czech Republic"],"raw_orcid":"https://orcid.org/0000-0001-9369-5400","affiliations":[{"raw_affiliation_string":"Z\u00e1pado\u010desk\u00e1 univerzita v Plzni, Plze\u0148, Czech Republic","institution_ids":["https://openalex.org/I92715842"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102801505","display_name":"Min Yan","orcid":"https://orcid.org/0000-0002-7509-4529"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Min Yan","raw_affiliation_strings":["The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong"],"raw_orcid":"https://orcid.org/0000-0002-7509-4529","affiliations":[{"raw_affiliation_string":"The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong","institution_ids":["https://openalex.org/I200769079"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5044918066"],"corresponding_institution_ids":["https://openalex.org/I92715842"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.459,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.55111252,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"41","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11887","display_name":"Quasicrystal Structures and Properties","score":0.9811999797821045,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11887","display_name":"Quasicrystal Structures and Properties","score":0.9811999797821045,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13685","display_name":"Material Science and Thermodynamics","score":0.9041000008583069,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7561209201812744},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7185608148574829},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.41622209548950195}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7561209201812744},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7185608148574829},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.41622209548950195}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00373-024-02879-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00373-024-02879-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00373-024-02879-1.pdf","source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-149584","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-149584","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1007/s00373-024-02879-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00373-024-02879-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00373-024-02879-1.pdf","source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320310981","display_name":"Z\u00e1pado\u010desk\u00e1 Univerzita v Plzni","ror":"https://ror.org/040t43x18"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4407049765.pdf","grobid_xml":"https://content.openalex.org/works/W4407049765.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W2118178489","https://openalex.org/W2146249205","https://openalex.org/W2464770516","https://openalex.org/W2963082401","https://openalex.org/W3186287042","https://openalex.org/W3186676858","https://openalex.org/W4255468566","https://openalex.org/W6601209893","https://openalex.org/W6601727329"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"develop":[2],"a":[3],"systematic":[4],"method":[5,29],"for":[6],"deriving":[7],"the":[8,19,24,45,52],"angle":[9,53,63],"combinations":[10,54],"at":[11],"all":[12,51],"vertices":[13],"in":[14,36],"an":[15,31],"edge-to-edge":[16],"tiling":[17,39],"of":[18,44,61],"sphere":[20],"by":[21],"pentagons":[22],"with":[23],"same":[25],"five":[26],"angles.":[27],"The":[28],"provides":[30],"effective":[32],"and":[33,58],"necessary":[34],"tool":[35],"solving":[37],"many":[38],"problems":[40],"about":[41],"pentagonal":[42],"tilings":[43],"sphere.":[46],"More":[47],"significantly,":[48],"we":[49],"determine":[50],"that":[55],"allow":[56],"free":[57],"continuous":[59],"choices":[60],"two":[62],"values.":[64]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-03-14T06:41:57.775601","created_date":"2025-10-10T00:00:00"}