{"id":"https://openalex.org/W2074525706","doi":"https://doi.org/10.1007/s10878-006-9041-5","title":"Maximally even sets and configurations: common threads in mathematics, physics, and music","display_name":"Maximally even sets and configurations: common threads in mathematics, physics, and music","publication_year":2007,"publication_date":"2007-03-20","ids":{"openalex":"https://openalex.org/W2074525706","doi":"https://doi.org/10.1007/s10878-006-9041-5","mag":"2074525706"},"language":"en","primary_location":{"id":"doi:10.1007/s10878-006-9041-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-006-9041-5","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"Journal of Combinatorial Optimization","raw_type":"journal-article"},"type":"book-chapter","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/A5017784557","display_name":"Jack Douthett","orcid":null},"institutions":[{"id":"https://openalex.org/I169521973","display_name":"University of New Mexico","ror":"https://ror.org/05fs6jp91","country_code":"US","type":"education","lineage":["https://openalex.org/I169521973"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jack Douthett","raw_affiliation_strings":["University of New Mexico, 5044 Rockcress Drive NW, Albuquerque, NM, 87120, USA","University of New Mexico;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of New Mexico, 5044 Rockcress Drive NW, Albuquerque, NM, 87120, USA","institution_ids":["https://openalex.org/I169521973"]},{"raw_affiliation_string":"University of New Mexico;","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077817420","display_name":"Richard Krantz","orcid":null},"institutions":[{"id":"https://openalex.org/I879689382","display_name":"Metropolitan State University of Denver","ror":"https://ror.org/03mnxwj46","country_code":"US","type":"education","lineage":["https://openalex.org/I879689382"]},{"id":"https://openalex.org/I99069390","display_name":"Metropolitan State University","ror":"https://ror.org/056rp9e47","country_code":"US","type":"education","lineage":["https://openalex.org/I91221267","https://openalex.org/I99069390"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard Krantz","raw_affiliation_strings":["Department of Physics, Metropolitan State College, Denver, CO, 80217, USA","Metropolitan State College"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Metropolitan State College, Denver, CO, 80217, USA","institution_ids":["https://openalex.org/I879689382"]},{"raw_affiliation_string":"Metropolitan State College","institution_ids":["https://openalex.org/I99069390"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5017784557"],"corresponding_institution_ids":["https://openalex.org/I169521973"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":6.9504,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.96732026,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"14","issue":"4","first_page":"385","last_page":"410"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.8960999846458435,"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"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.8960999846458435,"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"}},{"id":"https://openalex.org/T10788","display_name":"Neuroscience and Music Perception","score":0.8912000060081482,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.8184000253677368,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5973615646362305},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5580727458000183},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.544766366481781},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5439952611923218},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5340601205825806},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.4819219410419464},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.34074458479881287},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24696162343025208},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21699786186218262},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.08769571781158447}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5973615646362305},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5580727458000183},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.544766366481781},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5439952611923218},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5340601205825806},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.4819219410419464},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.34074458479881287},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24696162343025208},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21699786186218262},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.08769571781158447},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10878-006-9041-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-006-9041-5","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"Journal of Combinatorial Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jcomop:v:14:y:2007:i:4:d:10.1007_s10878-006-9041-5","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10878-006-9041-5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.5299999713897705}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W72897338","https://openalex.org/W96084163","https://openalex.org/W137631675","https://openalex.org/W632138236","https://openalex.org/W1155222599","https://openalex.org/W1516233695","https://openalex.org/W1561163014","https://openalex.org/W1964285119","https://openalex.org/W1967595366","https://openalex.org/W1967932203","https://openalex.org/W1974419767","https://openalex.org/W1974910645","https://openalex.org/W1990607824","https://openalex.org/W1995290106","https://openalex.org/W2001735076","https://openalex.org/W2003176024","https://openalex.org/W2006554643","https://openalex.org/W2008239570","https://openalex.org/W2012352626","https://openalex.org/W2015049011","https://openalex.org/W2018672845","https://openalex.org/W2018933481","https://openalex.org/W2029948740","https://openalex.org/W2030075387","https://openalex.org/W2030499578","https://openalex.org/W2041232746","https://openalex.org/W2043453567","https://openalex.org/W2045992804","https://openalex.org/W2053259578","https://openalex.org/W2053860503","https://openalex.org/W2061981200","https://openalex.org/W2068032885","https://openalex.org/W2071556498","https://openalex.org/W2076118826","https://openalex.org/W2085634226","https://openalex.org/W2086828238","https://openalex.org/W2095191196","https://openalex.org/W2103395046","https://openalex.org/W2110194622","https://openalex.org/W2137777233","https://openalex.org/W2317235013","https://openalex.org/W2321179210","https://openalex.org/W2334330610","https://openalex.org/W2335421503","https://openalex.org/W2402650638","https://openalex.org/W2752061190","https://openalex.org/W2752853835","https://openalex.org/W3167442607","https://openalex.org/W4230949936","https://openalex.org/W4242112856","https://openalex.org/W4247679155","https://openalex.org/W4255808853","https://openalex.org/W4323764752"],"related_works":["https://openalex.org/W2180954594","https://openalex.org/W2052835778","https://openalex.org/W2049003611","https://openalex.org/W2127804977","https://openalex.org/W2108418243","https://openalex.org/W164103134","https://openalex.org/W2787352659","https://openalex.org/W4206560911","https://openalex.org/W1970611213","https://openalex.org/W4372260270"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2026-08-27T14:10:00.468798","created_date":"2025-10-10T00:00:00"}