{"id":"https://openalex.org/W2804151768","doi":"https://doi.org/10.1080/00029890.2018.1449505","title":"Rupert Property of Archimedean Solids","display_name":"Rupert Property of Archimedean Solids","publication_year":2018,"publication_date":"2018-05-24","ids":{"openalex":"https://openalex.org/W2804151768","doi":"https://doi.org/10.1080/00029890.2018.1449505","mag":"2804151768"},"language":"en","primary_location":{"id":"doi:10.1080/00029890.2018.1449505","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2018.1449505","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027992921","display_name":"Y.D.Chai Chai","orcid":null},"institutions":[{"id":"https://openalex.org/I94611258","display_name":"Hebei Normal University","ror":"https://ror.org/004rbbw49","country_code":"CN","type":"education","lineage":["https://openalex.org/I94611258"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying Chai","raw_affiliation_strings":["College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, China 050024"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, China 050024","institution_ids":["https://openalex.org/I94611258"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101454214","display_name":"Liping Yuan","orcid":"https://orcid.org/0000-0002-4428-4485"},"institutions":[{"id":"https://openalex.org/I111381250","display_name":"Hebei Medical University","ror":"https://ror.org/04eymdx19","country_code":"CN","type":"education","lineage":["https://openalex.org/I111381250"]},{"id":"https://openalex.org/I94611258","display_name":"Hebei Normal University","ror":"https://ror.org/004rbbw49","country_code":"CN","type":"education","lineage":["https://openalex.org/I94611258"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liping Yuan","raw_affiliation_strings":["College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, China 050024","Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang, China 050024","College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, China 050024.; Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang, China 050024"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, China 050024","institution_ids":["https://openalex.org/I94611258"]},{"raw_affiliation_string":"Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang, China 050024","institution_ids":["https://openalex.org/I111381250"]},{"raw_affiliation_string":"College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, China 050024.; Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang, China 050024","institution_ids":["https://openalex.org/I94611258"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050057586","display_name":"Tudor Zamfirescu","orcid":null},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]},{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}],"countries":["CZ","DE"],"is_corresponding":false,"raw_author_name":"Tudor Zamfirescu","raw_affiliation_strings":["Fachbereich Mathematik, Technische Universit\u00e4t Dortmund, Dortmund, Germany 44221","Institute of Mathematics \u201cSimion Stoilow,\u201d Roumanian Academy, Bucharest, Roumania 014700"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik, Technische Universit\u00e4t Dortmund, Dortmund, Germany 44221","institution_ids":["https://openalex.org/I200332995"]},{"raw_affiliation_string":"Institute of Mathematics \u201cSimion Stoilow,\u201d Roumanian Academy, Bucharest, Roumania 014700","institution_ids":["https://openalex.org/I4210120266"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7787,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.83638425,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"125","issue":"6","first_page":"497","last_page":"504"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9937999844551086,"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"}},"topics":[{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9937999844551086,"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"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9746999740600586,"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"}},{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.953000009059906,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/dodecahedron","display_name":"Dodecahedron","score":0.873211681842804},{"id":"https://openalex.org/keywords/cube","display_name":"Cube (algebra)","score":0.7629833221435547},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.7377834916114807},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.732263445854187},{"id":"https://openalex.org/keywords/octahedron","display_name":"Octahedron","score":0.5176187753677368},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4412810206413269},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3582061529159546},{"id":"https://openalex.org/keywords/crystallography","display_name":"Crystallography","score":0.3080182671546936},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.29459893703460693},{"id":"https://openalex.org/keywords/crystal-structure","display_name":"Crystal structure","score":0.13599315285682678},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.09131431579589844},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.06779968738555908}],"concepts":[{"id":"https://openalex.org/C94239619","wikidata":"https://www.wikidata.org/wiki/Q178296","display_name":"Dodecahedron","level":2,"score":0.873211681842804},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.7629833221435547},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.7377834916114807},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.732263445854187},{"id":"https://openalex.org/C198819137","wikidata":"https://www.wikidata.org/wiki/Q188884","display_name":"Octahedron","level":3,"score":0.5176187753677368},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4412810206413269},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3582061529159546},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.3080182671546936},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.29459893703460693},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.13599315285682678},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.09131431579589844},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.06779968738555908},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00029890.2018.1449505","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2018.1449505","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W342699434","https://openalex.org/W1854348712","https://openalex.org/W1981804590","https://openalex.org/W2962973004","https://openalex.org/W4255857723"],"related_works":["https://openalex.org/W1966336771","https://openalex.org/W2952290196","https://openalex.org/W2045408973","https://openalex.org/W4205735007","https://openalex.org/W4286870264","https://openalex.org/W4252983970","https://openalex.org/W3165158879","https://openalex.org/W2023332108","https://openalex.org/W1667772520","https://openalex.org/W2791054331"],"abstract_inverted_index":{"We":[0],"say":[1],"that":[2,31],"a":[3,13],"polytope":[4],"has":[5],"the":[6,33,42,44,47,50,52,54,57,61],"Rupert":[7],"property":[8],"if":[9],"we":[10,29],"can":[11],"make":[12],"hole":[14],"large":[15],"enough":[16],"in":[17],"to":[18,23],"permit":[19],"another":[20],"copy":[21],"of":[22],"pass":[24],"through.":[25],"In":[26],"this":[27,39],"article,":[28],"show":[30],"among":[32],"13":[34],"Archimedean":[35],"solids,":[36],"8":[37],"have":[38],"property,":[40],"namely,":[41],"cuboctahedron,":[43,56],"truncated":[45,48,55,58,62],"octahedron,":[46],"cube,":[49],"rhombicuboctahedron,":[51],"icosidodecahedron,":[53],"icosahedron,":[59],"and":[60],"dodecahedron.":[63]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
