{"id":"https://openalex.org/W1991884410","doi":"https://doi.org/10.1007/s00454-004-1097-3","title":"Unflippable Tetrahedral Complexes","display_name":"Unflippable Tetrahedral Complexes","publication_year":2004,"publication_date":"2004-07-05","ids":{"openalex":"https://openalex.org/W1991884410","doi":"https://doi.org/10.1007/s00454-004-1097-3","mag":"1991884410"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-004-1097-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-004-1097-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-004-1097-3.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":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-004-1097-3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005397048","display_name":"Randall Dougherty","orcid":"https://orcid.org/0000-0002-4129-1866"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Randall Dougherty","raw_affiliation_strings":["San Diego, CA, USA","San Diego, CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"San Diego, CA, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"San Diego, CA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046440641","display_name":"Vance Faber","orcid":"https://orcid.org/0000-0001-5125-6979"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Vance Faber","raw_affiliation_strings":["33740 NE 84th Pl.,\nCarnation, WA 98014, USA","33740 NE 84th Pl.,#N#Carnation, WA 98014"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"33740 NE 84th Pl.,\nCarnation, WA 98014, USA","institution_ids":[]},{"raw_affiliation_string":"33740 NE 84th Pl.,#N#Carnation, WA 98014","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071277571","display_name":"M.E.P. Murphy","orcid":"https://orcid.org/0000-0003-2589-0014"},"institutions":[{"id":"https://openalex.org/I4210116770","display_name":"Numerica Corporation (United States)","ror":"https://ror.org/01j5et233","country_code":"US","type":"company","lineage":["https://openalex.org/I4210116770"]},{"id":"https://openalex.org/I4210125919","display_name":"Fusion (United States)","ror":"https://ror.org/02vtgg877","country_code":"US","type":"company","lineage":["https://openalex.org/I4210125919"]},{"id":"https://openalex.org/I4210149442","display_name":"Fusion Academy","ror":"https://ror.org/05rwjyj14","country_code":"US","type":"education","lineage":["https://openalex.org/I4210149442"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael Murphy","raw_affiliation_strings":["Fusion Numerics Inc., 1320 Pearl Street,\nBoulder, CO 80302, USA","Fusion Numerics Inc., 1320 Pearl Street,#N#Boulder, CO 80302"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fusion Numerics Inc., 1320 Pearl Street,\nBoulder, CO 80302, USA","institution_ids":["https://openalex.org/I4210116770","https://openalex.org/I4210125919","https://openalex.org/I4210149442"]},{"raw_affiliation_string":"Fusion Numerics Inc., 1320 Pearl Street,#N#Boulder, CO 80302","institution_ids":["https://openalex.org/I4210116770","https://openalex.org/I4210125919","https://openalex.org/I4210149442"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5005397048","https://openalex.org/A5046440641","https://openalex.org/A5071277571"],"corresponding_institution_ids":["https://openalex.org/I36258959","https://openalex.org/I4210116770","https://openalex.org/I4210125919","https://openalex.org/I4210149442"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":1.4728,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.85535575,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"32","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"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":0.9998999834060669,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9987999796867371,"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/combinatorics","display_name":"Combinatorics","score":0.769431471824646},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.7508463859558105},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6835663318634033},{"id":"https://openalex.org/keywords/tetrahedron","display_name":"Tetrahedron","score":0.6257715821266174},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5510398745536804},{"id":"https://openalex.org/keywords/general-position","display_name":"General position","score":0.4527568519115448},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.42683061957359314},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33488231897354126},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.191044420003891},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.16563725471496582}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.769431471824646},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7508463859558105},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6835663318634033},{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.6257715821266174},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5510398745536804},{"id":"https://openalex.org/C150397156","wikidata":"https://www.wikidata.org/wiki/Q591310","display_name":"General position","level":2,"score":0.4527568519115448},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.42683061957359314},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33488231897354126},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.191044420003891},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.16563725471496582},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/s00454-004-1097-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-004-1097-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-004-1097-3.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"}],"best_oa_location":{"id":"doi:10.1007/s00454-004-1097-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-004-1097-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-004-1097-3.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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1991884410.pdf","grobid_xml":"https://content.openalex.org/works/W1991884410.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W206167714","https://openalex.org/W1511793359","https://openalex.org/W1542085343","https://openalex.org/W1588260487","https://openalex.org/W1597196612","https://openalex.org/W1679363601","https://openalex.org/W1788997585","https://openalex.org/W1964338383","https://openalex.org/W1992051521","https://openalex.org/W2009919199","https://openalex.org/W2021488116","https://openalex.org/W2054090557","https://openalex.org/W2057512681","https://openalex.org/W2128282971","https://openalex.org/W2294424216","https://openalex.org/W2952826634","https://openalex.org/W4248986099","https://openalex.org/W6635046053"],"related_works":["https://openalex.org/W3118783749","https://openalex.org/W2002583644","https://openalex.org/W3119989344","https://openalex.org/W2025402442","https://openalex.org/W2098990162","https://openalex.org/W4286974865","https://openalex.org/W4214593871","https://openalex.org/W3199408051","https://openalex.org/W4294585265","https://openalex.org/W2063101227"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}