{"id":"https://openalex.org/W3198864282","doi":"https://doi.org/10.1007/s00454-022-00466-w","title":"Distinct Angle Problems and Variants","display_name":"Distinct Angle Problems and Variants","publication_year":2023,"publication_date":"2023-01-20","ids":{"openalex":"https://openalex.org/W3198864282","doi":"https://doi.org/10.1007/s00454-022-00466-w","mag":"3198864282"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-022-00466-w","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s00454-022-00466-w","pdf_url":null,"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 &amp; Computational Geometry","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/A5056260964","display_name":"Henry Fleischmann","orcid":"https://orcid.org/0000-0002-6093-3393"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Henry L. Fleischmann","raw_affiliation_strings":["Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062445671","display_name":"Hongyi B. Hu","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hongyi B. Hu","raw_affiliation_strings":["Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA, 15213, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA, 15213, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078846219","display_name":"Faye Jackson","orcid":"https://orcid.org/0000-0002-6751-6314"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Faye Jackson","raw_affiliation_strings":["Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049983178","display_name":"Steven J. Miller","orcid":"https://orcid.org/0000-0003-4904-4605"},"institutions":[{"id":"https://openalex.org/I22675022","display_name":"Williams College","ror":"https://ror.org/04avkmd49","country_code":"US","type":"education","lineage":["https://openalex.org/I22675022"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steven J. Miller","raw_affiliation_strings":["Department of Mathematics and Statistics, Williams College, Williamstown, MA, 01267, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Williams College, Williamstown, MA, 01267, USA","institution_ids":["https://openalex.org/I22675022"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055367678","display_name":"Eyvindur A. Palsson","orcid":"https://orcid.org/0000-0002-0221-9757"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eyvindur A. Palsson","raw_affiliation_strings":["Department of Mathematics, Virginia Tech, Blacksburg, VA, 24061, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Virginia Tech, Blacksburg, VA, 24061, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013390800","display_name":"Ethan Pesikoff","orcid":null},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ethan Pesikoff","raw_affiliation_strings":["Department of Mathematics, Yale University, New Haven, CT, 06520, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yale University, New Haven, CT, 06520, USA","institution_ids":["https://openalex.org/I32971472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102961868","display_name":"Charles Wolf","orcid":"https://orcid.org/0000-0001-5828-6740"},"institutions":[{"id":"https://openalex.org/I5388228","display_name":"University of Rochester","ror":"https://ror.org/022kthw22","country_code":"US","type":"education","lineage":["https://openalex.org/I5388228"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Charles Wolf","raw_affiliation_strings":["Department of Mathematics, University of Rochester, Rochester, NY, 14627, USA"],"raw_orcid":"https://orcid.org/0000-0001-5828-6740","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Rochester, Rochester, NY, 14627, USA","institution_ids":["https://openalex.org/I5388228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5102961868"],"corresponding_institution_ids":["https://openalex.org/I5388228"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.4943,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.66071167,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"70","issue":"4","first_page":"1715","last_page":"1740"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":1.0,"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":1.0,"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":0.9976000189781189,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.7884460687637329},{"id":"https://openalex.org/keywords/asymptotically-optimal-algorithm","display_name":"Asymptotically optimal algorithm","score":0.7079759836196899},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7005215883255005},{"id":"https://openalex.org/keywords/general-position","display_name":"General position","score":0.6638435125350952},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6021207571029663},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.5181366205215454},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4867880046367645},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.42531847953796387},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24988871812820435},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16804271936416626},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10160115361213684},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0752667784690857}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7884460687637329},{"id":"https://openalex.org/C181789720","wikidata":"https://www.wikidata.org/wiki/Q4812191","display_name":"Asymptotically optimal algorithm","level":2,"score":0.7079759836196899},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7005215883255005},{"id":"https://openalex.org/C150397156","wikidata":"https://www.wikidata.org/wiki/Q591310","display_name":"General position","level":2,"score":0.6638435125350952},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6021207571029663},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.5181366205215454},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4867880046367645},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.42531847953796387},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24988871812820435},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16804271936416626},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10160115361213684},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0752667784690857},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-022-00466-w","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s00454-022-00466-w","pdf_url":null,"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 &amp; Computational Geometry","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3742700897","display_name":null,"funder_award_id":"360560","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G8009170952","display_name":null,"funder_award_id":"1947438","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"}],"funders":[{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320308845","display_name":"Williams College","ror":"https://ror.org/04avkmd49"},{"id":"https://openalex.org/F4320335353","display_name":"National Science Foundation of Sri Lanka","ror":"https://ror.org/010xaa060"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W116441594","https://openalex.org/W1539895965","https://openalex.org/W1588542571","https://openalex.org/W1981515128","https://openalex.org/W2002417698","https://openalex.org/W2006073641","https://openalex.org/W2012422741","https://openalex.org/W2023360066","https://openalex.org/W2043987727","https://openalex.org/W2051859868","https://openalex.org/W2101788557","https://openalex.org/W2103821238","https://openalex.org/W2121195626","https://openalex.org/W2143943120","https://openalex.org/W2144778768","https://openalex.org/W2146388713","https://openalex.org/W2148153237","https://openalex.org/W2167396159","https://openalex.org/W2319149236","https://openalex.org/W2610670181","https://openalex.org/W2796519987","https://openalex.org/W2895866514","https://openalex.org/W3099982937","https://openalex.org/W4210453869","https://openalex.org/W4244144929","https://openalex.org/W4247006625"],"related_works":["https://openalex.org/W2413743231","https://openalex.org/W2128333523","https://openalex.org/W4297976568","https://openalex.org/W2962851451","https://openalex.org/W2165434229","https://openalex.org/W2895641489","https://openalex.org/W2008268605","https://openalex.org/W1557064786","https://openalex.org/W3098813812","https://openalex.org/W1647069448"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2025-10-10T00:00:00"}
