{"id":"https://openalex.org/W1552258430","doi":"https://doi.org/10.1080/10586458.2016.1172526","title":"On Wild Frieze Patterns","display_name":"On Wild Frieze Patterns","publication_year":2016,"publication_date":"2016-08-22","ids":{"openalex":"https://openalex.org/W1552258430","doi":"https://doi.org/10.1080/10586458.2016.1172526","mag":"1552258430"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2016.1172526","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2016.1172526","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","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/A5082130619","display_name":"Michael Cuntz","orcid":"https://orcid.org/0000-0003-1016-3383"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Michael Cuntz","raw_affiliation_strings":["Institut f\u00fcr Algebra, Zahlentheorie und Diskrete Mathematik, Fakult\u00e4t f\u00fcr Mathematik und Physik, Leibniz Universit\u00e4t Hannover, Hannover, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algebra, Zahlentheorie und Diskrete Mathematik, Fakult\u00e4t f\u00fcr Mathematik und Physik, Leibniz Universit\u00e4t Hannover, Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5082130619"],"corresponding_institution_ids":["https://openalex.org/I114112103"],"apc_list":null,"apc_paid":null,"fwci":2.6988,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.87415151,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"26","issue":"3","first_page":"342","last_page":"348"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9990000128746033,"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":0.9990000128746033,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9945999979972839,"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/frieze","display_name":"Frieze","score":0.912103533744812},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8352563381195068},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.537732720375061},{"id":"https://openalex.org/keywords/art-history","display_name":"Art history","score":0.06095638871192932},{"id":"https://openalex.org/keywords/art","display_name":"Art","score":0.05051890015602112}],"concepts":[{"id":"https://openalex.org/C170383800","wikidata":"https://www.wikidata.org/wiki/Q183272","display_name":"Frieze","level":2,"score":0.912103533744812},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8352563381195068},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.537732720375061},{"id":"https://openalex.org/C52119013","wikidata":"https://www.wikidata.org/wiki/Q50637","display_name":"Art history","level":1,"score":0.06095638871192932},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.05051890015602112}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10586458.2016.1172526","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2016.1172526","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","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/W1604465506","https://openalex.org/W1994344437","https://openalex.org/W2013438382","https://openalex.org/W2037497030","https://openalex.org/W2078372385","https://openalex.org/W2108708306","https://openalex.org/W2146870819","https://openalex.org/W2240871574","https://openalex.org/W2963156018","https://openalex.org/W3100652330","https://openalex.org/W4248639047","https://openalex.org/W4251581373"],"related_works":["https://openalex.org/W3137701599","https://openalex.org/W2330510439","https://openalex.org/W570640275","https://openalex.org/W2323828710","https://openalex.org/W1988557124","https://openalex.org/W2084157776","https://openalex.org/W4251373838","https://openalex.org/W1991028508","https://openalex.org/W2122795349","https://openalex.org/W2324099141"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"among":[3],"other":[4],"things,":[5],"we":[6],"show:":[7],"(1)":[8],"There":[9,21,32],"are":[10,17,22,28,39],"periodic":[11],"wild":[12],"-frieze":[13,24,35],"patterns":[14,25],"whose":[15,26,37],"entries":[16,27,38],"positive":[18,29,40],"integers.":[19,30],"(2)":[20],"non-periodic":[23],"(3)":[31],"is":[33],"an":[34],"pattern":[36],"integers":[41],"and":[42],"with":[43],"infinitely":[44],"many":[45],"different":[46],"entries.":[47]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}