{"id":"https://openalex.org/W2024243717","doi":"https://doi.org/10.1007/s00224-013-9485-9","title":"Computational Aspects of M.C. Escher\u2019s Ribbon Patterns","display_name":"Computational Aspects of M.C. Escher\u2019s Ribbon Patterns","publication_year":2013,"publication_date":"2013-05-28","ids":{"openalex":"https://openalex.org/W2024243717","doi":"https://doi.org/10.1007/s00224-013-9485-9","mag":"2024243717"},"language":"en","primary_location":{"id":"doi:10.1007/s00224-013-9485-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-013-9485-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"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":"Theory of Computing Systems","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/A5067523915","display_name":"Ellen Gethner","orcid":null},"institutions":[{"id":"https://openalex.org/I131651094","display_name":"University of Denver","ror":"https://ror.org/04w7skc03","country_code":"US","type":"education","lineage":["https://openalex.org/I131651094"]},{"id":"https://openalex.org/I921990950","display_name":"University of Colorado Denver","ror":"https://ror.org/02hh7en24","country_code":"US","type":"education","lineage":["https://openalex.org/I921990950"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ellen Gethner","raw_affiliation_strings":["Department of Computer Science, University of Colorado Denver, Denver, CO, 80204, USA","Department of Computer Science, University of Colorado Denver, Denver, USA 80204#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Colorado Denver, Denver, CO, 80204, USA","institution_ids":["https://openalex.org/I131651094","https://openalex.org/I921990950"]},{"raw_affiliation_string":"Department of Computer Science, University of Colorado Denver, Denver, USA 80204#TAB#","institution_ids":["https://openalex.org/I921990950"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069172477","display_name":"David Kirkpatrick","orcid":"https://orcid.org/0000-0002-3276-2734"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"David G. Kirkpatrick","raw_affiliation_strings":["Department of Computer Science, University of British Columbia, Vancouver, BC, V6T 1Z4, Canada","Department of Computer Science, University of British Columbia, Vancouver, Canada, V6T 1Z4"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of British Columbia, Vancouver, BC, V6T 1Z4, Canada","institution_ids":["https://openalex.org/I141945490"]},{"raw_affiliation_string":"Department of Computer Science, University of British Columbia, Vancouver, Canada, V6T 1Z4","institution_ids":["https://openalex.org/I141945490"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113582583","display_name":"Nicholas Pippenger","orcid":null},"institutions":[{"id":"https://openalex.org/I133543626","display_name":"Harvey Mudd College","ror":"https://ror.org/025ecfn45","country_code":"US","type":"education","lineage":["https://openalex.org/I133543626"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nicholas J. Pippenger","raw_affiliation_strings":["Department of Mathematics, Harvey Mudd College, Claremont, CA, 91711, USA","Department of Mathematics, Harvey Mudd College, Claremont, USA 91711#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harvey Mudd College, Claremont, CA, 91711, USA","institution_ids":["https://openalex.org/I133543626"]},{"raw_affiliation_string":"Department of Mathematics, Harvey Mudd College, Claremont, USA 91711#TAB#","institution_ids":["https://openalex.org/I133543626"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5067523915"],"corresponding_institution_ids":["https://openalex.org/I131651094","https://openalex.org/I921990950"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.09293868,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"54","issue":"4","first_page":"640","last_page":"658"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9994000196456909,"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":0.9994000196456909,"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/T13518","display_name":"Architecture and Computational Design","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/2216","display_name":"Architecture"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11887","display_name":"Quasicrystal Structures and Properties","score":0.9606999754905701,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/escher","display_name":"Escher","score":0.9865005016326904},{"id":"https://openalex.org/keywords/ribbon","display_name":"Ribbon","score":0.6972500681877136},{"id":"https://openalex.org/keywords/equilateral-triangle","display_name":"Equilateral triangle","score":0.4560541808605194},{"id":"https://openalex.org/keywords/cork","display_name":"Cork","score":0.4453147053718567},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4378418028354645},{"id":"https://openalex.org/keywords/motif","display_name":"Motif (music)","score":0.42495980858802795},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.41944801807403564},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3936599791049957},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3667084574699402},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20921096205711365},{"id":"https://openalex.org/keywords/art","display_name":"Art","score":0.12645643949508667},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.12454190850257874}],"concepts":[{"id":"https://openalex.org/C2779618335","wikidata":"https://www.wikidata.org/wiki/Q5397186","display_name":"Escher","level":2,"score":0.9865005016326904},{"id":"https://openalex.org/C2780392137","wikidata":"https://www.wikidata.org/wiki/Q17121801","display_name":"Ribbon","level":2,"score":0.6972500681877136},{"id":"https://openalex.org/C146786541","wikidata":"https://www.wikidata.org/wiki/Q157002","display_name":"Equilateral triangle","level":2,"score":0.4560541808605194},{"id":"https://openalex.org/C2777899904","wikidata":"https://www.wikidata.org/wiki/Q49444","display_name":"Cork","level":2,"score":0.4453147053718567},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4378418028354645},{"id":"https://openalex.org/C32276052","wikidata":"https://www.wikidata.org/wiki/Q908349","display_name":"Motif (music)","level":2,"score":0.42495980858802795},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.41944801807403564},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3936599791049957},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3667084574699402},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20921096205711365},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.12645643949508667},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.12454190850257874},{"id":"https://openalex.org/C107038049","wikidata":"https://www.wikidata.org/wiki/Q35986","display_name":"Aesthetics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00224-013-9485-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-013-9485-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"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":"Theory of Computing Systems","raw_type":"journal-article"},{"id":"pmh:oai:scholarship.claremont.edu:hmc_fac_pub-1617","is_oa":false,"landing_page_url":"http://link.springer.com/article/10.1007%2Fs00224-013-9485-9","pdf_url":null,"source":{"id":"https://openalex.org/S4377196412","display_name":"Scholarship - Claremont (Claremont Colleges)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I872248612","host_organization_name":"Claremont Colleges","host_organization_lineage":["https://openalex.org/I872248612"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"All HMC Faculty Publications and Research","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.6600000262260437,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W74762529","https://openalex.org/W352853685","https://openalex.org/W646333890","https://openalex.org/W1496801598","https://openalex.org/W1519230994","https://openalex.org/W1536714027","https://openalex.org/W1542682307","https://openalex.org/W1570908156","https://openalex.org/W1767065168","https://openalex.org/W1980935045","https://openalex.org/W1982019138","https://openalex.org/W2003181292","https://openalex.org/W2017025480","https://openalex.org/W2071203557","https://openalex.org/W2080896750","https://openalex.org/W2162278146","https://openalex.org/W2183572901","https://openalex.org/W2408253508","https://openalex.org/W2993111592","https://openalex.org/W2993857951","https://openalex.org/W3043060850","https://openalex.org/W4245226082"],"related_works":["https://openalex.org/W2026245968","https://openalex.org/W2101779743","https://openalex.org/W2606193507","https://openalex.org/W1176101057","https://openalex.org/W2731455616","https://openalex.org/W2794888196","https://openalex.org/W4205547607","https://openalex.org/W2088987569","https://openalex.org/W4235238427","https://openalex.org/W4255177638"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}