{"id":"https://openalex.org/W4391645012","doi":"https://doi.org/10.55905/oelv22n2-032","title":"The mathematics on classical ballet: connections between the beautiful and the exact","display_name":"The mathematics on classical ballet: connections between the beautiful and the exact","publication_year":2024,"publication_date":"2024-02-07","ids":{"openalex":"https://openalex.org/W4391645012","doi":"https://doi.org/10.55905/oelv22n2-032"},"language":"en","primary_location":{"id":"doi:10.55905/oelv22n2-032","doi":"https://doi.org/10.55905/oelv22n2-032","is_oa":true,"landing_page_url":"http://dx.doi.org/10.55905/oelv22n2-032","pdf_url":"https://ojs.observatoriolatinoamericano.com/ojs/index.php/olel/article/download/3115/2208","source":{"id":"https://openalex.org/S4210217256","display_name":"OBSERVAT\u00d3RIO DE LA ECONOM\u00cdA LATINOAMERICANA","issn_l":"1696-8352","issn":["1696-8352"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["vabb-shw"],"host_organization":"https://openalex.org/P4310321194","host_organization_name":"Servicios Academicos Intercontinentales","host_organization_lineage":["https://openalex.org/P4310321194"],"host_organization_lineage_names":["Servicios Academicos Intercontinentales"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"OBSERVAT\u00d3RIO DE LA ECONOM\u00cdA LATINOAMERICANA","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://ojs.observatoriolatinoamericano.com/ojs/index.php/olel/article/download/3115/2208","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5093889420","display_name":"Gabriela Heloiza Lima Farinha","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I150729083","display_name":"Universidade de Bras\u00edlia","ror":"https://ror.org/02xfp8v59","country_code":"BR","type":"education","lineage":["https://openalex.org/I150729083"]},{"id":"https://openalex.org/I211891151","display_name":"Universidade do Estado do Par\u00e1","ror":"https://ror.org/042r36z33","country_code":"BR","type":"education","lineage":["https://openalex.org/I211891151"]},{"id":"https://openalex.org/I3129743071","display_name":"Instituto Federal de Educa\u00e7\u00e3o, Ci\u00eancia e Tecnologia de Bras\u00edlia","ror":"https://ror.org/03bk74w21","country_code":"BR","type":"education","lineage":["https://openalex.org/I1293487690","https://openalex.org/I2801200668","https://openalex.org/I3129743071"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Gabriela Heloiza Lima Farinha","raw_affiliation_strings":["ballet cl\u00e1ssico e a matem\u00e1tica, explorando","compreens\u00e3o da interconex\u00e3o entre disciplinas","express\u00e3o matem\u00e1tica","presen\u00e7a de elementos geom\u00e9tricos e simetria nas t\u00e9cnicas e movimentos dessa forma de dan\u00e7a. A pesquisa busca explorar o poss\u00edvel uso da raz\u00e3o \u00e1urea e da modelagem matem\u00e1tica para analisar padr\u00f5es, propor\u00e7\u00f5es e compreender os princ\u00edpios f\u00edsicos subjacentes aos saltos e giros dos bailarinos. A pesquisa qualitativa e aplicada, com base em an\u00e1lise bibliogr\u00e1fica e estudo de caso, oferece uma vis\u00e3o profunda da intera\u00e7\u00e3o entre arte e ci\u00eancia,","Licenciatura em Matem\u00e1tica pela Universidade do Estado do Par\u00e1 (UEPA) Institui\u00e7\u00e3o: Instituto Federal de Bras\u00edlia -campus Estrutural Endere\u00e7o: Parque Nacional de Bras\u00edlia, \u00c1rea Especial 01, Quadra 16, Bras\u00edlia -DF, CEP: 71200-020","Profissional em Matem\u00e1tica pelo Universidade de Bras\u00edlia (UNB) Institui\u00e7\u00e3o: Instituto Federal de Bras\u00edlia -campus Estrutural Endere\u00e7o: Parque Nacional de Bras\u00edlia, \u00c1rea Especial 01, Quadra 16, Bras\u00edlia -DF, CEP: 71200-020","entre","meio para","no ballet cl\u00e1ssico. Essas conclus\u00f5es enriquecem"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ballet cl\u00e1ssico e a matem\u00e1tica, explorando","institution_ids":[]},{"raw_affiliation_string":"compreens\u00e3o da interconex\u00e3o entre disciplinas","institution_ids":[]},{"raw_affiliation_string":"express\u00e3o matem\u00e1tica","institution_ids":[]},{"raw_affiliation_string":"presen\u00e7a de elementos geom\u00e9tricos e simetria nas t\u00e9cnicas e movimentos dessa forma de dan\u00e7a. A pesquisa busca explorar o poss\u00edvel uso da raz\u00e3o \u00e1urea e da modelagem matem\u00e1tica para analisar padr\u00f5es, propor\u00e7\u00f5es e compreender os princ\u00edpios f\u00edsicos subjacentes aos saltos e giros dos bailarinos. A pesquisa qualitativa e aplicada, com base em an\u00e1lise bibliogr\u00e1fica e estudo de caso, oferece uma vis\u00e3o profunda da intera\u00e7\u00e3o entre arte e ci\u00eancia,","institution_ids":[]},{"raw_affiliation_string":"Licenciatura em Matem\u00e1tica pela Universidade do Estado do Par\u00e1 (UEPA) Institui\u00e7\u00e3o: Instituto Federal de Bras\u00edlia -campus Estrutural Endere\u00e7o: Parque Nacional de Bras\u00edlia, \u00c1rea Especial 01, Quadra 16, Bras\u00edlia -DF, CEP: 71200-020","institution_ids":["https://openalex.org/I211891151","https://openalex.org/I3129743071"]},{"raw_affiliation_string":"Profissional em Matem\u00e1tica pelo Universidade de Bras\u00edlia (UNB) Institui\u00e7\u00e3o: Instituto Federal de Bras\u00edlia -campus Estrutural Endere\u00e7o: Parque Nacional de Bras\u00edlia, \u00c1rea Especial 01, Quadra 16, Bras\u00edlia -DF, CEP: 71200-020","institution_ids":["https://openalex.org/I150729083","https://openalex.org/I3129743071"]},{"raw_affiliation_string":"entre","institution_ids":[]},{"raw_affiliation_string":"meio para","institution_ids":[]},{"raw_affiliation_string":"no ballet cl\u00e1ssico. Essas conclus\u00f5es enriquecem","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068721084","display_name":"Tiago Felipe de Oliveira Alves","orcid":"https://orcid.org/0009-0005-7555-8556","observed_orcids":["https://orcid.org/0009-0005-7555-8556"]},"institutions":[{"id":"https://openalex.org/I150729083","display_name":"Universidade de Bras\u00edlia","ror":"https://ror.org/02xfp8v59","country_code":"BR","type":"education","lineage":["https://openalex.org/I150729083"]},{"id":"https://openalex.org/I211891151","display_name":"Universidade do Estado do Par\u00e1","ror":"https://ror.org/042r36z33","country_code":"BR","type":"education","lineage":["https://openalex.org/I211891151"]},{"id":"https://openalex.org/I3129743071","display_name":"Instituto Federal de Educa\u00e7\u00e3o, Ci\u00eancia e Tecnologia de Bras\u00edlia","ror":"https://ror.org/03bk74w21","country_code":"BR","type":"education","lineage":["https://openalex.org/I1293487690","https://openalex.org/I2801200668","https://openalex.org/I3129743071"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Tiago Felipe de Oliveira Alves","raw_affiliation_strings":["ballet cl\u00e1ssico e a matem\u00e1tica, explorando","compreens\u00e3o da interconex\u00e3o entre disciplinas","express\u00e3o matem\u00e1tica","presen\u00e7a de elementos geom\u00e9tricos e simetria nas t\u00e9cnicas e movimentos dessa forma de dan\u00e7a. A pesquisa busca explorar o poss\u00edvel uso da raz\u00e3o \u00e1urea e da modelagem matem\u00e1tica para analisar padr\u00f5es, propor\u00e7\u00f5es e compreender os princ\u00edpios f\u00edsicos subjacentes aos saltos e giros dos bailarinos. A pesquisa qualitativa e aplicada, com base em an\u00e1lise bibliogr\u00e1fica e estudo de caso, oferece uma vis\u00e3o profunda da intera\u00e7\u00e3o entre arte e ci\u00eancia,","Licenciatura em Matem\u00e1tica pela Universidade do Estado do Par\u00e1 (UEPA) Institui\u00e7\u00e3o: Instituto Federal de Bras\u00edlia -campus Estrutural Endere\u00e7o: Parque Nacional de Bras\u00edlia, \u00c1rea Especial 01, Quadra 16, Bras\u00edlia -DF, CEP: 71200-020","Profissional em Matem\u00e1tica pelo Universidade de Bras\u00edlia (UNB) Institui\u00e7\u00e3o: Instituto Federal de Bras\u00edlia -campus Estrutural Endere\u00e7o: Parque Nacional de Bras\u00edlia, \u00c1rea Especial 01, Quadra 16, Bras\u00edlia -DF, CEP: 71200-020","entre","meio para","no ballet cl\u00e1ssico. Essas conclus\u00f5es enriquecem"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ballet cl\u00e1ssico e a matem\u00e1tica, explorando","institution_ids":[]},{"raw_affiliation_string":"compreens\u00e3o da interconex\u00e3o entre disciplinas","institution_ids":[]},{"raw_affiliation_string":"express\u00e3o matem\u00e1tica","institution_ids":[]},{"raw_affiliation_string":"presen\u00e7a de elementos geom\u00e9tricos e simetria nas t\u00e9cnicas e movimentos dessa forma de dan\u00e7a. A pesquisa busca explorar o poss\u00edvel uso da raz\u00e3o \u00e1urea e da modelagem matem\u00e1tica para analisar padr\u00f5es, propor\u00e7\u00f5es e compreender os princ\u00edpios f\u00edsicos subjacentes aos saltos e giros dos bailarinos. A pesquisa qualitativa e aplicada, com base em an\u00e1lise bibliogr\u00e1fica e estudo de caso, oferece uma vis\u00e3o profunda da intera\u00e7\u00e3o entre arte e ci\u00eancia,","institution_ids":[]},{"raw_affiliation_string":"Licenciatura em Matem\u00e1tica pela Universidade do Estado do Par\u00e1 (UEPA) Institui\u00e7\u00e3o: Instituto Federal de Bras\u00edlia -campus Estrutural Endere\u00e7o: Parque Nacional de Bras\u00edlia, \u00c1rea Especial 01, Quadra 16, Bras\u00edlia -DF, CEP: 71200-020","institution_ids":["https://openalex.org/I211891151","https://openalex.org/I3129743071"]},{"raw_affiliation_string":"Profissional em Matem\u00e1tica pelo Universidade de Bras\u00edlia (UNB) Institui\u00e7\u00e3o: Instituto Federal de Bras\u00edlia -campus Estrutural Endere\u00e7o: Parque Nacional de Bras\u00edlia, \u00c1rea Especial 01, Quadra 16, Bras\u00edlia -DF, CEP: 71200-020","institution_ids":["https://openalex.org/I150729083","https://openalex.org/I3129743071"]},{"raw_affiliation_string":"entre","institution_ids":[]},{"raw_affiliation_string":"meio para","institution_ids":[]},{"raw_affiliation_string":"no ballet cl\u00e1ssico. Essas conclus\u00f5es enriquecem","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5093889420"],"corresponding_institution_ids":["https://openalex.org/I150729083","https://openalex.org/I211891151","https://openalex.org/I3129743071"],"apc_list":null,"apc_paid":null,"fwci":2.1041,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.84401789,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"22","issue":"2","first_page":"e3115","last_page":"e3115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14002","display_name":"Art, Technology, and Culture","score":0.8906000256538391,"subfield":{"id":"https://openalex.org/subfields/1213","display_name":"Visual Arts and Performing Arts"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T14002","display_name":"Art, Technology, and Culture","score":0.8906000256538391,"subfield":{"id":"https://openalex.org/subfields/1213","display_name":"Visual Arts and Performing Arts"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12051","display_name":"Diversity and Impact of Dance","score":0.08739999681711197,"subfield":{"id":"https://openalex.org/subfields/1213","display_name":"Visual Arts and Performing Arts"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13133","display_name":"Architecture and Art History Studies","score":0.00570000009611249,"subfield":{"id":"https://openalex.org/subfields/1213","display_name":"Visual Arts and Performing Arts"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/classical-ballet","display_name":"classical ballet","score":1.0},{"id":"https://openalex.org/keywords/golden-ratio","display_name":"golden ratio","score":0.9629999995231628},{"id":"https://openalex.org/keywords/symmetry","display_name":"symmetry","score":0.8479999899864197},{"id":"https://openalex.org/keywords/geometric-patterns","display_name":"geometric patterns","score":0.8479999899864197},{"id":"https://openalex.org/keywords/mathematical-modeling","display_name":"mathematical modeling","score":0.6579999923706055},{"id":"https://openalex.org/keywords/dance-movement","display_name":"dance movement","score":0.5759999752044678},{"id":"https://openalex.org/keywords/art-and-science","display_name":"art and science","score":0.843999981880188},{"id":"https://openalex.org/keywords/mathematical-beauty","display_name":"mathematical beauty","score":0.39800000190734863}],"concepts":[{"id":"https://openalex.org/C177002383","wikidata":"https://www.wikidata.org/wiki/Q41425","display_name":"Ballet","level":3,"score":0.9082179069519043},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45100581645965576},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.4284851551055908},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.3544642925262451},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.31615832448005676},{"id":"https://openalex.org/C147446459","wikidata":"https://www.wikidata.org/wiki/Q11639","display_name":"Dance","level":2,"score":0.1364680528640747}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.55905/oelv22n2-032","doi":"https://doi.org/10.55905/oelv22n2-032","is_oa":true,"landing_page_url":"http://dx.doi.org/10.55905/oelv22n2-032","pdf_url":"https://ojs.observatoriolatinoamericano.com/ojs/index.php/olel/article/download/3115/2208","source":{"id":"https://openalex.org/S4210217256","display_name":"OBSERVAT\u00d3RIO DE LA ECONOM\u00cdA LATINOAMERICANA","issn_l":"1696-8352","issn":["1696-8352"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["vabb-shw"],"host_organization":"https://openalex.org/P4310321194","host_organization_name":"Servicios Academicos Intercontinentales","host_organization_lineage":["https://openalex.org/P4310321194"],"host_organization_lineage_names":["Servicios Academicos Intercontinentales"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"OBSERVAT\u00d3RIO DE LA ECONOM\u00cdA LATINOAMERICANA","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.55905/oelv22n2-032","doi":"https://doi.org/10.55905/oelv22n2-032","is_oa":true,"landing_page_url":"http://dx.doi.org/10.55905/oelv22n2-032","pdf_url":"https://ojs.observatoriolatinoamericano.com/ojs/index.php/olel/article/download/3115/2208","source":{"id":"https://openalex.org/S4210217256","display_name":"OBSERVAT\u00d3RIO DE LA ECONOM\u00cdA LATINOAMERICANA","issn_l":"1696-8352","issn":["1696-8352"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["vabb-shw"],"host_organization":"https://openalex.org/P4310321194","host_organization_name":"Servicios Academicos Intercontinentales","host_organization_lineage":["https://openalex.org/P4310321194"],"host_organization_lineage_names":["Servicios Academicos Intercontinentales"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"OBSERVAT\u00d3RIO DE LA ECONOM\u00cdA LATINOAMERICANA","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4391645012.pdf","grobid_xml":"https://content.openalex.org/works/W4391645012.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W2963719146","https://openalex.org/W4313049847"],"related_works":["https://openalex.org/W4406204995","https://openalex.org/W2182742893","https://openalex.org/W2795726162","https://openalex.org/W7102398398","https://openalex.org/W7220375059","https://openalex.org/W2776152065","https://openalex.org/W2626623309","https://openalex.org/W3208082756","https://openalex.org/W4323057039","https://openalex.org/W7160245781"],"abstract_inverted_index":{"The":[0,29],"article":[1],"addresses":[2],"the":[3,12,20,34,38,50,55,78,98,101],"intrinsic":[4],"relationship":[5],"between":[6,80,103],"classical":[7,93,116],"ballet":[8,117],"and":[9,17,22,41,48,58,62,69,82,90,115],"mathematics,":[10],"exploring":[11],"presence":[13],"of":[14,24,27,37,54,100,112,121],"geometric":[15],"elements":[16],"symmetry":[18],"in":[19,92],"techniques":[21],"movements":[23],"this":[25],"form":[26,111],"dance.":[28],"research":[30],"aims":[31],"to":[32,44],"explore":[33],"potential":[35],"use":[36],"golden":[39],"ratio":[40],"mathematical":[42,122],"modelling":[43],"analyze":[45],"patterns,":[46],"proportions,":[47],"understand":[49],"underlying":[51],"physical":[52],"principles":[53],"dancers'":[56],"leaps":[57],"turns.":[59],"This":[60],"qualitative":[61],"applied":[63],"research,":[64],"based":[65],"on":[66],"bibliographical":[67],"analysis":[68],"a":[70,74,110,119],"case":[71],"study,":[72],"provides":[73],"profound":[75],"insight":[76],"into":[77,88],"interaction":[79],"art":[81],"science,":[83],"demonstrating":[84],"how":[85],"mathematics":[86,108],"translates":[87],"beauty":[89],"harmony":[91],"ballet.":[94],"These":[95],"conclusions":[96],"enrich":[97],"understanding":[99],"interconnection":[102],"seemingly":[104],"distinct":[105],"disciplines,":[106],"highlighting":[107],"as":[109,118],"artistic":[113],"expression":[114],"means":[120],"expression.":[123]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2024-02-09T00:00:00"}
