{"id":"https://openalex.org/W2001906038","doi":"https://doi.org/10.1007/s10998-006-0030-3","title":"On Sequences of Nested Triangles","display_name":"On Sequences of Nested Triangles","publication_year":2006,"publication_date":"2006-09-01","ids":{"openalex":"https://openalex.org/W2001906038","doi":"https://doi.org/10.1007/s10998-006-0030-3","mag":"2001906038"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-006-0030-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-006-0030-3","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"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":"Periodica Mathematica Hungarica","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/A5025210455","display_name":"Dan Ismailescu","orcid":"https://orcid.org/0000-0002-5566-5080"},"institutions":[{"id":"https://openalex.org/I139290212","display_name":"Hofstra University","ror":"https://ror.org/03pm18j10","country_code":"US","type":"education","lineage":["https://openalex.org/I139290212"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dan Ismailescu","raw_affiliation_strings":["Hofstra University, Department of Mathematics, Hempstead, NY 11549, USA","Hofstra University, Department of Mathematics,"],"affiliations":[{"raw_affiliation_string":"Hofstra University, Department of Mathematics, Hempstead, NY 11549, USA","institution_ids":["https://openalex.org/I139290212"]},{"raw_affiliation_string":"Hofstra University, Department of Mathematics,","institution_ids":["https://openalex.org/I139290212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023690208","display_name":"Jacqueline J.L. Jacobs","orcid":"https://orcid.org/0000-0002-7704-4795"},"institutions":[{"id":"https://openalex.org/I139290212","display_name":"Hofstra University","ror":"https://ror.org/03pm18j10","country_code":"US","type":"education","lineage":["https://openalex.org/I139290212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jacqueline Jacobs","raw_affiliation_strings":["Hofstra University, Department of Mathematics, Hempstead, NY 11549, USA","Hofstra University, Department of Mathematics,"],"affiliations":[{"raw_affiliation_string":"Hofstra University, Department of Mathematics, Hempstead, NY 11549, USA","institution_ids":["https://openalex.org/I139290212"]},{"raw_affiliation_string":"Hofstra University, Department of Mathematics,","institution_ids":["https://openalex.org/I139290212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025210455"],"corresponding_institution_ids":["https://openalex.org/I139290212"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.2752,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.76264179,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"53","issue":"1-2","first_page":"169","last_page":"184"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9607999920845032,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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/equilateral-triangle","display_name":"Equilateral triangle","score":0.938847005367279},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8526638746261597},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.7148904800415039},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5764001607894897},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33740371465682983},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3249410390853882}],"concepts":[{"id":"https://openalex.org/C146786541","wikidata":"https://www.wikidata.org/wiki/Q157002","display_name":"Equilateral triangle","level":2,"score":0.938847005367279},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8526638746261597},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.7148904800415039},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5764001607894897},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33740371465682983},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3249410390853882},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10998-006-0030-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-006-0030-3","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"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":"Periodica Mathematica Hungarica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W189277883","https://openalex.org/W1449901425","https://openalex.org/W1505720689","https://openalex.org/W1572708899","https://openalex.org/W1974479578","https://openalex.org/W2159116171","https://openalex.org/W2314818841","https://openalex.org/W2316425895","https://openalex.org/W2318096625","https://openalex.org/W2322311243","https://openalex.org/W2326487024","https://openalex.org/W2799349216"],"related_works":["https://openalex.org/W3204326392","https://openalex.org/W2508087100","https://openalex.org/W3161792707","https://openalex.org/W2500000936","https://openalex.org/W2086778274","https://openalex.org/W2780411548","https://openalex.org/W4223515324","https://openalex.org/W2952999242","https://openalex.org/W4233425111","https://openalex.org/W4248596675"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}