{"id":"https://openalex.org/W2046209393","doi":"https://doi.org/10.1007/s00454-008-9063-0","title":"On the Number of Facets of Three-Dimensional Dirichlet Stereohedra III: Full Cubic Groups","display_name":"On the Number of Facets of Three-Dimensional Dirichlet Stereohedra III: Full Cubic Groups","publication_year":2008,"publication_date":"2008-02-28","ids":{"openalex":"https://openalex.org/W2046209393","doi":"https://doi.org/10.1007/s00454-008-9063-0","mag":"2046209393"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-008-9063-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-008-9063-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-008-9063-0.pdf","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":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-008-9063-0.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023731644","display_name":"Pilar Sabariego","orcid":null},"institutions":[{"id":"https://openalex.org/I13134134","display_name":"Universidad de Cantabria","ror":"https://ror.org/046ffzj20","country_code":"ES","type":"education","lineage":["https://openalex.org/I13134134"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Pilar Sabariego","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Estad\u00edstica y Computaci\u00f3n, Universidad de Cantabria, Santander, Spain","Departamento de Matem\u00e1ticas, Estad\u00edstica Y Computaci\u00f3n, Universidad de Cantabria, Santander, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Estad\u00edstica y Computaci\u00f3n, Universidad de Cantabria, Santander, Spain","institution_ids":["https://openalex.org/I13134134"]},{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Estad\u00edstica Y Computaci\u00f3n, Universidad de Cantabria, Santander, Spain","institution_ids":["https://openalex.org/I13134134"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100731803","display_name":"Francisco Santos","orcid":"https://orcid.org/0000-0003-2120-9068"},"institutions":[{"id":"https://openalex.org/I13134134","display_name":"Universidad de Cantabria","ror":"https://ror.org/046ffzj20","country_code":"ES","type":"education","lineage":["https://openalex.org/I13134134"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Francisco Santos","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Estad\u00edstica y Computaci\u00f3n, Universidad de Cantabria, Santander, Spain","Departamento de Matem\u00e1ticas, Estad\u00edstica Y Computaci\u00f3n, Universidad de Cantabria, Santander, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Estad\u00edstica y Computaci\u00f3n, Universidad de Cantabria, Santander, Spain","institution_ids":["https://openalex.org/I13134134"]},{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Estad\u00edstica Y Computaci\u00f3n, Universidad de Cantabria, Santander, Spain","institution_ids":["https://openalex.org/I13134134"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023731644"],"corresponding_institution_ids":["https://openalex.org/I13134134"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.7443,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.81725183,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"40","issue":"2","first_page":"159","last_page":"189"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10849","display_name":"Finite Group Theory Research","score":0.9952999949455261,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9929999709129333,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quarter","display_name":"Quarter (Canadian coin)","score":0.7053346633911133},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.6637709140777588},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.585261344909668},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.565301775932312},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4945962131023407},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36667346954345703},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23072436451911926},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19114640355110168},{"id":"https://openalex.org/keywords/history","display_name":"History","score":0.07710936665534973},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07304224371910095}],"concepts":[{"id":"https://openalex.org/C85079727","wikidata":"https://www.wikidata.org/wiki/Q3560114","display_name":"Quarter (Canadian coin)","level":2,"score":0.7053346633911133},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.6637709140777588},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.585261344909668},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.565301775932312},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4945962131023407},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36667346954345703},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23072436451911926},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19114640355110168},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.07710936665534973},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07304224371910095},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00454-008-9063-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-008-9063-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-008-9063-0.pdf","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:math/0608039","is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0608039","pdf_url":"https://arxiv.org/pdf/math/0608039","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:CiteSeerX.psu:10.1.1.237.8121","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.237.8121","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/0608039v1.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/s00454-008-9063-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-008-9063-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-008-9063-0.pdf","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2046209393.pdf","grobid_xml":"https://content.openalex.org/works/W2046209393.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W574896439","https://openalex.org/W968470522","https://openalex.org/W1539895965","https://openalex.org/W1641545723","https://openalex.org/W1773544278","https://openalex.org/W2003072917","https://openalex.org/W2012989476","https://openalex.org/W2019252445","https://openalex.org/W2035604574","https://openalex.org/W2048516789","https://openalex.org/W2083032883","https://openalex.org/W2083109559","https://openalex.org/W2139230981","https://openalex.org/W2314311046","https://openalex.org/W2321326417","https://openalex.org/W2323989652","https://openalex.org/W3102969010","https://openalex.org/W4236645106","https://openalex.org/W4244148405","https://openalex.org/W4252017042"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2288200797","https://openalex.org/W2916705765","https://openalex.org/W345560293","https://openalex.org/W608559232","https://openalex.org/W2526768593","https://openalex.org/W4250688413","https://openalex.org/W2309911084","https://openalex.org/W2922478315","https://openalex.org/W2766470987"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}