{"id":"https://openalex.org/W2071203877","doi":"https://doi.org/10.1080/10586458.2007.10128994","title":"Observations from the 8-Tetrahedron Nonorientable Census","display_name":"Observations from the 8-Tetrahedron Nonorientable Census","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2071203877","doi":"https://doi.org/10.1080/10586458.2007.10128994","mag":"2071203877"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2007.10128994","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2007.10128994","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Experimental Mathematics","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/A5079605697","display_name":"Benjamin A. Burton","orcid":"https://orcid.org/0000-0002-3478-3301"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Benjamin Burton","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5079605697"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8911,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.71422878,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"16","issue":"2","first_page":"129","last_page":"143"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9998999834060669,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9998999834060669,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9988999962806702,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9961000084877014,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tetrahedron","display_name":"Tetrahedron","score":0.943307638168335},{"id":"https://openalex.org/keywords/census","display_name":"Census","score":0.8158861994743347},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6583956480026245},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.6087825894355774},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4515312612056732},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2020866572856903},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.055302321910858154},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.05365157127380371},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.04805833101272583}],"concepts":[{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.943307638168335},{"id":"https://openalex.org/C52130261","wikidata":"https://www.wikidata.org/wiki/Q39825","display_name":"Census","level":3,"score":0.8158861994743347},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6583956480026245},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.6087825894355774},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4515312612056732},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2020866572856903},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.055302321910858154},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.05365157127380371},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.04805833101272583}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10586458.2007.10128994","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2007.10128994","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Experimental Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320974","display_name":"University of Melbourne","ror":"https://ror.org/01ej9dk98"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W286814258","https://openalex.org/W1482043201","https://openalex.org/W1518549627","https://openalex.org/W1598737601","https://openalex.org/W1868033430","https://openalex.org/W1965191089","https://openalex.org/W2001072494","https://openalex.org/W2010866194","https://openalex.org/W2024191228","https://openalex.org/W2043423858","https://openalex.org/W2054623978","https://openalex.org/W2056825190","https://openalex.org/W2072510190","https://openalex.org/W2082573213","https://openalex.org/W2094555583","https://openalex.org/W2096952305","https://openalex.org/W2144329322","https://openalex.org/W2318517541","https://openalex.org/W2504802526","https://openalex.org/W2962921953","https://openalex.org/W3103181239"],"related_works":["https://openalex.org/W108845024","https://openalex.org/W4300125793","https://openalex.org/W2578985712","https://openalex.org/W2406961474","https://openalex.org/W2128472366","https://openalex.org/W2143566611","https://openalex.org/W621243299","https://openalex.org/W2013740965","https://openalex.org/W588267724","https://openalex.org/W4297743441"],"abstract_inverted_index":{"Abstract":[0],"Through":[1],"computer":[2],"enumeration":[3],"with":[4],"the":[5,36,49,56],"aid":[6],"of":[7],"topological":[8],"results,":[9],"we":[10,29],"catalogue":[11],"all":[12],"18":[13],"closed":[14],"nonorientable":[15,57],"\u21192-irreducible":[16],"3-manifolds":[17],"that":[18],"can":[19],"be":[20],"formed":[21],"from":[22,48],"eight":[23],"or":[24],"fewer":[25],"tetrahedra.":[26],"In":[27],"addition,":[28],"give":[30],"an":[31],"overview":[32],"as":[33],"to":[34],"how":[35],"100":[37],"resulting":[38],"minimal":[39],"triangulations":[40],"are":[41,46,66],"constructed.":[42],"Observations":[43],"and":[44,52],"conjectures":[45],"drawn":[47],"census":[50,58],"data,":[51],"future":[53],"potential":[54],"for":[55],"is":[59],"discussed.":[60],"Some":[61],"preliminary":[62],"9-":[63],"tetrahedron":[64],"results":[65],"also":[67],"included.":[68],"Keywords:":[69],"Primary":[70],"57Q15Secondary":[71],"57-04,":[72],"57N10Minimal":[73],"triangulationcensuscomplexitylayering":[74]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
