{"id":"https://openalex.org/W2950362087","doi":"https://doi.org/10.1007/s00454-019-00166-y","title":"Compact Packings of the Plane with Three Sizes of Discs","display_name":"Compact Packings of the Plane with Three Sizes of Discs","publication_year":2020,"publication_date":"2020-01-16","ids":{"openalex":"https://openalex.org/W2950362087","doi":"https://doi.org/10.1007/s00454-019-00166-y","mag":"2950362087"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-019-00166-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-019-00166-y","pdf_url":null,"source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1810.02231","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080960416","display_name":"Thomas Fernique","orcid":"https://orcid.org/0000-0003-1082-9034"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210091279","display_name":"Universit\u00e9 Sorbonne Paris Nord","ror":"https://ror.org/0199hds37","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210091279"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210091437","display_name":"Sorbonne Paris Cit\u00e9","ror":"https://ror.org/001z21q04","country_code":"FR","type":"other","lineage":["https://openalex.org/I4210091437"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Thomas Fernique","raw_affiliation_strings":["Universit\u00e9 Paris 13, CNRS, Sorbonne Paris Cit\u00e9, UMR 7030, 93430, Villetaneuse, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris 13, CNRS, Sorbonne Paris Cit\u00e9, UMR 7030, 93430, Villetaneuse, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210091437","https://openalex.org/I1294671590","https://openalex.org/I4210091279"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087754513","display_name":"Amir Hashemi","orcid":null},"institutions":[{"id":"https://openalex.org/I170013655","display_name":"Isfahan University of Technology","ror":"https://ror.org/00af3sa43","country_code":"IR","type":"education","lineage":["https://openalex.org/I170013655"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Amir Hashemi","raw_affiliation_strings":["Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran","institution_ids":["https://openalex.org/I170013655"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033203226","display_name":"\u041e. \u0412. \u0421\u0438\u0437\u043e\u0432\u0430","orcid":"https://orcid.org/0000-0001-9177-6602"},"institutions":[{"id":"https://openalex.org/I2801076587","display_name":"Semenov Institute of Chemical Physics","ror":"https://ror.org/01jemb993","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801076587","https://openalex.org/I4210145551"]},{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Olga Sizova","raw_affiliation_strings":["Faculty of Mathematics, Higher School of Economics, Moscow, Russia, 119048","Semenov Institute of Chemical Physics, Moscow, Russia, 119991"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Higher School of Economics, Moscow, Russia, 119048","institution_ids":["https://openalex.org/I118501908"]},{"raw_affiliation_string":"Semenov Institute of Chemical Physics, Moscow, Russia, 119991","institution_ids":["https://openalex.org/I2801076587"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080960416"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210091279","https://openalex.org/I4210091437"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.526,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.9283466,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"66","issue":"2","first_page":"613","last_page":"635"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sphere-packing","display_name":"Sphere packing","score":0.6124239563941956},{"id":"https://openalex.org/keywords/curvilinear-coordinates","display_name":"Curvilinear coordinates","score":0.6060702800750732},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.6010631322860718},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.5002295970916748},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42910462617874146},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4281400144100189},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4259381890296936},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3810405135154724},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16548416018486023}],"concepts":[{"id":"https://openalex.org/C183893376","wikidata":"https://www.wikidata.org/wiki/Q900117","display_name":"Sphere packing","level":2,"score":0.6124239563941956},{"id":"https://openalex.org/C98343798","wikidata":"https://www.wikidata.org/wiki/Q1790208","display_name":"Curvilinear coordinates","level":2,"score":0.6060702800750732},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.6010631322860718},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.5002295970916748},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42910462617874146},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4281400144100189},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4259381890296936},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3810405135154724},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16548416018486023}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00454-019-00166-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-019-00166-y","pdf_url":null,"source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1810.02231","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1810.02231","pdf_url":"https://arxiv.org/pdf/1810.02231","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:HAL:hal-02411045v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02411045","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0179-5376","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1810.02231","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1810.02231","pdf_url":"https://arxiv.org/pdf/1810.02231","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[{"score":0.5799999833106995,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1483218536","https://openalex.org/W1524538745","https://openalex.org/W1995990042","https://openalex.org/W1997851568","https://openalex.org/W2014597422","https://openalex.org/W2029957684","https://openalex.org/W2070511479","https://openalex.org/W2076660660","https://openalex.org/W2080896750","https://openalex.org/W2091041793","https://openalex.org/W2117819179","https://openalex.org/W2159130720","https://openalex.org/W2175098281","https://openalex.org/W2301261742","https://openalex.org/W2314085795","https://openalex.org/W2601150590","https://openalex.org/W2744757217","https://openalex.org/W2754356277","https://openalex.org/W2892689348","https://openalex.org/W2904680943","https://openalex.org/W2962682143","https://openalex.org/W2979643164","https://openalex.org/W3039948875","https://openalex.org/W3100495456","https://openalex.org/W4239993559","https://openalex.org/W4247143738","https://openalex.org/W4253979264","https://openalex.org/W4292096448","https://openalex.org/W4292408570"],"related_works":["https://openalex.org/W1639593894","https://openalex.org/W63200814","https://openalex.org/W2367601375","https://openalex.org/W2371750680","https://openalex.org/W2360227361","https://openalex.org/W2067779234","https://openalex.org/W1999171692","https://openalex.org/W1600077717","https://openalex.org/W3108990924","https://openalex.org/W4361007484"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}