{"id":"https://openalex.org/W2091692250","doi":"https://doi.org/10.1016/s0167-8396(96)00057-x","title":"Quartic supercyclides I: Basic theory","display_name":"Quartic supercyclides I: Basic theory","publication_year":1997,"publication_date":"1997-09-01","ids":{"openalex":"https://openalex.org/W2091692250","doi":"https://doi.org/10.1016/s0167-8396(96)00057-x","mag":"2091692250"},"language":"en","primary_location":{"id":"doi:10.1016/s0167-8396(96)00057-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8396(96)00057-x","pdf_url":null,"source":{"id":"https://openalex.org/S135221619","display_name":"Computer Aided Geometric Design","issn_l":"0167-8396","issn":["0167-8396","1879-2332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Aided Geometric Design","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/A5111411932","display_name":"Michael J. Pratt","orcid":null},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael J. Pratt","raw_affiliation_strings":["Center for Advanced Technology, Rensselaer Polytechnic Institute, Troy, NY 12180-3590, USA"],"affiliations":[{"raw_affiliation_string":"Center for Advanced Technology, Rensselaer Polytechnic Institute, Troy, NY 12180-3590, USA","institution_ids":["https://openalex.org/I165799507"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111411932"],"corresponding_institution_ids":["https://openalex.org/I165799507"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":2.2749,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.87820372,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"14","issue":"7","first_page":"671","last_page":"692"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9984999895095825,"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/T13267","display_name":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quartic-function","display_name":"Quartic function","score":0.80000901222229},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7507826685905457},{"id":"https://openalex.org/keywords/quartic-surface","display_name":"Quartic surface","score":0.6324018836021423},{"id":"https://openalex.org/keywords/algebraic-geometry","display_name":"Algebraic geometry","score":0.5875355005264282},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5875287652015686},{"id":"https://openalex.org/keywords/algebraic-surface","display_name":"Algebraic surface","score":0.5620734691619873},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5559252500534058},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5546155571937561},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.517013430595398},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.47528091073036194},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.46294936537742615},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4593541622161865},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4499156177043915},{"id":"https://openalex.org/keywords/projective-geometry","display_name":"Projective geometry","score":0.41371724009513855},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.4129836857318878},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3483996093273163},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16846832633018494},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13544458150863647},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05745163559913635}],"concepts":[{"id":"https://openalex.org/C130432447","wikidata":"https://www.wikidata.org/wiki/Q11420049","display_name":"Quartic function","level":2,"score":0.80000901222229},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7507826685905457},{"id":"https://openalex.org/C117139701","wikidata":"https://www.wikidata.org/wiki/Q7269363","display_name":"Quartic surface","level":3,"score":0.6324018836021423},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.5875355005264282},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5875287652015686},{"id":"https://openalex.org/C69653121","wikidata":"https://www.wikidata.org/wiki/Q1434805","display_name":"Algebraic surface","level":3,"score":0.5620734691619873},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5559252500534058},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5546155571937561},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.517013430595398},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.47528091073036194},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.46294936537742615},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4593541622161865},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4499156177043915},{"id":"https://openalex.org/C185362025","wikidata":"https://www.wikidata.org/wiki/Q177409","display_name":"Projective geometry","level":3,"score":0.41371724009513855},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.4129836857318878},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3483996093273163},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16846832633018494},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13544458150863647},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05745163559913635},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/s0167-8396(96)00057-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8396(96)00057-x","pdf_url":null,"source":{"id":"https://openalex.org/S135221619","display_name":"Computer Aided Geometric Design","issn_l":"0167-8396","issn":["0167-8396","1879-2332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Aided Geometric Design","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.37.3458","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.37.3458","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mel.nist.gov/msidlibrary/doc/cagd97.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.637.9223","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.637.9223","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mel.nist.gov/msidlibrary/doc/cagd97.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.46000000834465027,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W16135999","https://openalex.org/W637592937","https://openalex.org/W655709898","https://openalex.org/W946284814","https://openalex.org/W1485469265","https://openalex.org/W1488340099","https://openalex.org/W1560841821","https://openalex.org/W1593707030","https://openalex.org/W1597380673","https://openalex.org/W1965982184","https://openalex.org/W1970622855","https://openalex.org/W1971409998","https://openalex.org/W1987255415","https://openalex.org/W1989389927","https://openalex.org/W1989708343","https://openalex.org/W2002673021","https://openalex.org/W2023751161","https://openalex.org/W2044527166","https://openalex.org/W2054275965","https://openalex.org/W2056316255","https://openalex.org/W2067696548","https://openalex.org/W2073065229","https://openalex.org/W2074480151","https://openalex.org/W2087957435","https://openalex.org/W2091213677","https://openalex.org/W2101689172","https://openalex.org/W2103744370","https://openalex.org/W2139748658","https://openalex.org/W2165049285","https://openalex.org/W2332518839","https://openalex.org/W4235058434","https://openalex.org/W4238131258","https://openalex.org/W4250090756","https://openalex.org/W4251111299","https://openalex.org/W6628815737","https://openalex.org/W6635498251"],"related_works":["https://openalex.org/W2339418300","https://openalex.org/W2963077015","https://openalex.org/W1488340099","https://openalex.org/W2952119375","https://openalex.org/W2334743964","https://openalex.org/W2278698977","https://openalex.org/W4225346682","https://openalex.org/W2063686524","https://openalex.org/W4281742999","https://openalex.org/W3012602021"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}