{"id":"https://openalex.org/W1602847274","doi":"https://doi.org/10.1007/978-3-642-04397-0_7","title":"Christoffel and Fibonacci Tiles","display_name":"Christoffel and Fibonacci Tiles","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1602847274","doi":"https://doi.org/10.1007/978-3-642-04397-0_7","mag":"1602847274"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-04397-0_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-04397-0_7","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-642-04397-0_7.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-642-04397-0_7.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065052558","display_name":"Alexandre Blondin-Mass\u00e9","orcid":null},"institutions":[{"id":"https://openalex.org/I159129438","display_name":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al","ror":"https://ror.org/002rjbv21","country_code":"CA","type":"education","lineage":["https://openalex.org/I159129438","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Alexandre Blondin-Mass\u00e9","raw_affiliation_strings":["Laboratoire de Combinatoire et d\u2019Informatique Math\u00e9matique, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, C.P. 8888, Succursale \u201cCentre-Ville\u201d, Montr\u00e9al, (QC), Canada, H3C 3P8","Laboratoire de Combinatoire et d'Informatique Math\u00e9matique, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, C.P. 8888, Succursale \"Centre-Ville\", Montr\u00e9al, (QC), Canada, H3C 3P8"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Combinatoire et d\u2019Informatique Math\u00e9matique, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, C.P. 8888, Succursale \u201cCentre-Ville\u201d, Montr\u00e9al, (QC), Canada, H3C 3P8","institution_ids":["https://openalex.org/I159129438"]},{"raw_affiliation_string":"Laboratoire de Combinatoire et d'Informatique Math\u00e9matique, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, C.P. 8888, Succursale \"Centre-Ville\", Montr\u00e9al, (QC), Canada, H3C 3P8","institution_ids":["https://openalex.org/I159129438"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107234313","display_name":"Sre\u010dko Brlek","orcid":null},"institutions":[{"id":"https://openalex.org/I159129438","display_name":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al","ror":"https://ror.org/002rjbv21","country_code":"CA","type":"education","lineage":["https://openalex.org/I159129438","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Sre\u010dko Brlek","raw_affiliation_strings":["Laboratoire de Combinatoire et d\u2019Informatique Math\u00e9matique, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, C.P. 8888, Succursale \u201cCentre-Ville\u201d, Montr\u00e9al, (QC), Canada, H3C 3P8","Laboratoire de Combinatoire et d'Informatique Math\u00e9matique, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, C.P. 8888, Succursale \"Centre-Ville\", Montr\u00e9al, (QC), Canada, H3C 3P8"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Combinatoire et d\u2019Informatique Math\u00e9matique, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, C.P. 8888, Succursale \u201cCentre-Ville\u201d, Montr\u00e9al, (QC), Canada, H3C 3P8","institution_ids":["https://openalex.org/I159129438"]},{"raw_affiliation_string":"Laboratoire de Combinatoire et d'Informatique Math\u00e9matique, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, C.P. 8888, Succursale \"Centre-Ville\", Montr\u00e9al, (QC), Canada, H3C 3P8","institution_ids":["https://openalex.org/I159129438"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045849513","display_name":"A. Garon","orcid":null},"institutions":[{"id":"https://openalex.org/I159129438","display_name":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al","ror":"https://ror.org/002rjbv21","country_code":"CA","type":"education","lineage":["https://openalex.org/I159129438","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Ariane Garon","raw_affiliation_strings":["Laboratoire de Combinatoire et d\u2019Informatique Math\u00e9matique, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, C.P. 8888, Succursale \u201cCentre-Ville\u201d, Montr\u00e9al, (QC), Canada, H3C 3P8","Laboratoire de Combinatoire et d'Informatique Math\u00e9matique, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, C.P. 8888, Succursale \"Centre-Ville\", Montr\u00e9al, (QC), Canada, H3C 3P8"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Combinatoire et d\u2019Informatique Math\u00e9matique, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, C.P. 8888, Succursale \u201cCentre-Ville\u201d, Montr\u00e9al, (QC), Canada, H3C 3P8","institution_ids":["https://openalex.org/I159129438"]},{"raw_affiliation_string":"Laboratoire de Combinatoire et d'Informatique Math\u00e9matique, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, C.P. 8888, Succursale \"Centre-Ville\", Montr\u00e9al, (QC), Canada, H3C 3P8","institution_ids":["https://openalex.org/I159129438"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091833270","display_name":"Sebastien Labb\u00e9","orcid":"https://orcid.org/0000-0002-7330-2718"},"institutions":[{"id":"https://openalex.org/I159129438","display_name":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al","ror":"https://ror.org/002rjbv21","country_code":"CA","type":"education","lineage":["https://openalex.org/I159129438","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"S\u00e9bastien Labb\u00e9","raw_affiliation_strings":["Laboratoire de Combinatoire et d\u2019Informatique Math\u00e9matique, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, C.P. 8888, Succursale \u201cCentre-Ville\u201d, Montr\u00e9al, (QC), Canada, H3C 3P8","Laboratoire de Combinatoire et d'Informatique Math\u00e9matique, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, C.P. 8888, Succursale \"Centre-Ville\", Montr\u00e9al, (QC), Canada, H3C 3P8"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Combinatoire et d\u2019Informatique Math\u00e9matique, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, C.P. 8888, Succursale \u201cCentre-Ville\u201d, Montr\u00e9al, (QC), Canada, H3C 3P8","institution_ids":["https://openalex.org/I159129438"]},{"raw_affiliation_string":"Laboratoire de Combinatoire et d'Informatique Math\u00e9matique, Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, C.P. 8888, Succursale \"Centre-Ville\", Montr\u00e9al, (QC), Canada, H3C 3P8","institution_ids":["https://openalex.org/I159129438"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I159129438"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.0114,"has_fulltext":true,"cited_by_count":40,"citation_normalized_percentile":{"value":0.91160486,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"67","last_page":"78"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12029","display_name":"DNA and Biological Computing","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/polyomino","display_name":"Polyomino","score":0.9323903322219849},{"id":"https://openalex.org/keywords/fibonacci-number","display_name":"Fibonacci number","score":0.9240996837615967},{"id":"https://openalex.org/keywords/tile","display_name":"Tile","score":0.7492122650146484},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5821175575256348},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.468228280544281},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41238340735435486},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40299519896507263},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3801039457321167},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23860198259353638},{"id":"https://openalex.org/keywords/art","display_name":"Art","score":0.05174395442008972}],"concepts":[{"id":"https://openalex.org/C69919132","wikidata":"https://www.wikidata.org/wiki/Q1144819","display_name":"Polyomino","level":3,"score":0.9323903322219849},{"id":"https://openalex.org/C173734053","wikidata":"https://www.wikidata.org/wiki/Q47577","display_name":"Fibonacci number","level":2,"score":0.9240996837615967},{"id":"https://openalex.org/C2780728851","wikidata":"https://www.wikidata.org/wiki/Q468402","display_name":"Tile","level":2,"score":0.7492122650146484},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5821175575256348},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.468228280544281},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41238340735435486},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40299519896507263},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3801039457321167},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23860198259353638},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.05174395442008972},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-04397-0_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-04397-0_7","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-642-04397-0_7.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:lirmm-00432384v1","is_oa":false,"landing_page_url":"https://hal-lirmm.ccsd.cnrs.fr/lirmm-00432384","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dgci2009.lacim.uqam.ca/","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"doi:10.1007/978-3-642-04397-0_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-04397-0_7","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-642-04397-0_7.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1602847274.pdf","grobid_xml":"https://content.openalex.org/works/W1602847274.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W114476996","https://openalex.org/W116734314","https://openalex.org/W1500269013","https://openalex.org/W1508087881","https://openalex.org/W1514324498","https://openalex.org/W1592768559","https://openalex.org/W1859552527","https://openalex.org/W1996179839","https://openalex.org/W2000690667","https://openalex.org/W2013972736","https://openalex.org/W2049151402","https://openalex.org/W2081090714","https://openalex.org/W2083394618","https://openalex.org/W2134122221","https://openalex.org/W2170633497","https://openalex.org/W4205168884","https://openalex.org/W4231199984","https://openalex.org/W4251530686"],"related_works":["https://openalex.org/W4288734188","https://openalex.org/W209156724","https://openalex.org/W2135008840","https://openalex.org/W4213044019","https://openalex.org/W148666007","https://openalex.org/W2103874366","https://openalex.org/W2572231869","https://openalex.org/W2962715651","https://openalex.org/W2911137868","https://openalex.org/W1974628954"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":15},{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}