{"id":"https://openalex.org/W2047547485","doi":"https://doi.org/10.1007/bf01204723","title":"Regular polytopes of type {4,4,3} and {4,4,4}","display_name":"Regular polytopes of type {4,4,3} and {4,4,4}","publication_year":1992,"publication_date":"1992-06-01","ids":{"openalex":"https://openalex.org/W2047547485","doi":"https://doi.org/10.1007/bf01204723","mag":"2047547485"},"language":"de","primary_location":{"id":"doi:10.1007/bf01204723","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01204723","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","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/A5069372898","display_name":"Peter McMullen","orcid":"https://orcid.org/0000-0001-8444-8045"},"institutions":[{"id":"https://openalex.org/I2800173700","display_name":"UCL Australia","ror":"https://ror.org/024atcf19","country_code":"AU","type":"education","lineage":["https://openalex.org/I2800173700"]},{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["AU","GB"],"is_corresponding":true,"raw_author_name":"P. McMullen","raw_affiliation_strings":["Department of Mathematics, University College London, WC1E 6BT, London, England","University college London"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University College London, WC1E 6BT, London, England","institution_ids":["https://openalex.org/I45129253"]},{"raw_affiliation_string":"University college London","institution_ids":["https://openalex.org/I2800173700"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011977861","display_name":"Egon Schulte","orcid":"https://orcid.org/0000-0001-9725-3589"},"institutions":[{"id":"https://openalex.org/I530967","display_name":"Toronto Metropolitan University","ror":"https://ror.org/05g13zd79","country_code":"CA","type":"education","lineage":["https://openalex.org/I530967"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"E. Schulte","raw_affiliation_strings":["Department of Mathematics, 02139, Cambridge, MA, USA","Department of Mathematics"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, 02139, Cambridge, MA, USA","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics","institution_ids":["https://openalex.org/I530967"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5069372898"],"corresponding_institution_ids":["https://openalex.org/I2800173700","https://openalex.org/I45129253"],"apc_list":null,"apc_paid":null,"fwci":4.1073,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.94677871,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"2","first_page":"203","last_page":"220"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10849","display_name":"Finite Group Theory Research","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.982699990272522,"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/polytope","display_name":"Polytope","score":0.8987933397293091},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8528515100479126},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7316355109214783},{"id":"https://openalex.org/keywords/tessellation","display_name":"Tessellation (computer graphics)","score":0.5702558159828186},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5192049145698547},{"id":"https://openalex.org/keywords/toroid","display_name":"Toroid","score":0.45150458812713623},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34615767002105713},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11984223127365112}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.8987933397293091},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8528515100479126},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7316355109214783},{"id":"https://openalex.org/C43817857","wikidata":"https://www.wikidata.org/wiki/Q9357547","display_name":"Tessellation (computer graphics)","level":2,"score":0.5702558159828186},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5192049145698547},{"id":"https://openalex.org/C15001198","wikidata":"https://www.wikidata.org/wiki/Q3241394","display_name":"Toroid","level":3,"score":0.45150458812713623},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34615767002105713},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11984223127365112},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01204723","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01204723","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W523942","https://openalex.org/W5253304","https://openalex.org/W624629222","https://openalex.org/W1490312012","https://openalex.org/W1607402086","https://openalex.org/W1970279109","https://openalex.org/W1984435882","https://openalex.org/W1989416207","https://openalex.org/W1994559756","https://openalex.org/W1997315416","https://openalex.org/W2002387862","https://openalex.org/W2018938951","https://openalex.org/W2020641847","https://openalex.org/W2048908470","https://openalex.org/W2052414950","https://openalex.org/W2056267178","https://openalex.org/W2066606054","https://openalex.org/W2070989625","https://openalex.org/W2081257302","https://openalex.org/W2117860717","https://openalex.org/W2315585928","https://openalex.org/W2496110834","https://openalex.org/W2586829639","https://openalex.org/W2884600425","https://openalex.org/W4213089498","https://openalex.org/W4213281606","https://openalex.org/W4243311420"],"related_works":["https://openalex.org/W4280529077","https://openalex.org/W2507185596","https://openalex.org/W1493684871","https://openalex.org/W4286224459","https://openalex.org/W2886567582","https://openalex.org/W2224170783","https://openalex.org/W3210796308","https://openalex.org/W4297887964","https://openalex.org/W2797568024","https://openalex.org/W3023661894"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
