{"id":"https://openalex.org/W1992965611","doi":"https://doi.org/10.1007/s00453-009-9362-8","title":"Spiraling and Folding: The Word View","display_name":"Spiraling and Folding: The Word View","publication_year":2009,"publication_date":"2009-10-30","ids":{"openalex":"https://openalex.org/W1992965611","doi":"https://doi.org/10.1007/s00453-009-9362-8","mag":"1992965611"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-009-9362-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-009-9362-8","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","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/A5043232183","display_name":"Marcus Schaefer","orcid":"https://orcid.org/0000-0001-7005-8599"},"institutions":[{"id":"https://openalex.org/I118353179","display_name":"DePaul University","ror":"https://ror.org/04xtx5t16","country_code":"US","type":"education","lineage":["https://openalex.org/I118353179"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Marcus Schaefer","raw_affiliation_strings":["Department of Computer Science, DePaul University, 243 South Wabash, Chicago, IL, 60604, USA","DePaul University, Department of Computer Science, 243 South Wabash, 60604, Chicago, IL, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, DePaul University, 243 South Wabash, Chicago, IL, 60604, USA","institution_ids":["https://openalex.org/I118353179"]},{"raw_affiliation_string":"DePaul University, Department of Computer Science, 243 South Wabash, 60604, Chicago, IL, USA#TAB#","institution_ids":["https://openalex.org/I118353179"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090969747","display_name":"Eric Sedgwick","orcid":"https://orcid.org/0000-0003-1995-9097"},"institutions":[{"id":"https://openalex.org/I118353179","display_name":"DePaul University","ror":"https://ror.org/04xtx5t16","country_code":"US","type":"education","lineage":["https://openalex.org/I118353179"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eric Sedgwick","raw_affiliation_strings":["Department of Computer Science, DePaul University, 243 South Wabash, Chicago, IL, 60604, USA","DePaul University, Department of Computer Science, 243 South Wabash, 60604, Chicago, IL, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, DePaul University, 243 South Wabash, Chicago, IL, 60604, USA","institution_ids":["https://openalex.org/I118353179"]},{"raw_affiliation_string":"DePaul University, Department of Computer Science, 243 South Wabash, 60604, Chicago, IL, USA#TAB#","institution_ids":["https://openalex.org/I118353179"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088287514","display_name":"Daniel \u0160tefankovi\u010d","orcid":"https://orcid.org/0000-0002-4849-7955"},"institutions":[{"id":"https://openalex.org/I5388228","display_name":"University of Rochester","ror":"https://ror.org/022kthw22","country_code":"US","type":"education","lineage":["https://openalex.org/I5388228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel \u0160tefankovi\u010d","raw_affiliation_strings":["Department of Computer Science, University of Rochester, Rochester, NY, 14627, USA","University of Rochester, Department of Computer Science, 14627, Rochester, NY, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Rochester, Rochester, NY, 14627, USA","institution_ids":["https://openalex.org/I5388228"]},{"raw_affiliation_string":"University of Rochester, Department of Computer Science, 14627, Rochester, NY, USA#TAB#","institution_ids":["https://openalex.org/I5388228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043232183"],"corresponding_institution_ids":["https://openalex.org/I118353179"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.3549,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.84130297,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"60","issue":"3","first_page":"609","last_page":"626"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11567","display_name":"semigroups and automata theory","score":0.9980999827384949,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/torus","display_name":"Torus","score":0.8479560613632202},{"id":"https://openalex.org/keywords/word","display_name":"Word (group theory)","score":0.7792714834213257},{"id":"https://openalex.org/keywords/folding","display_name":"Folding (DSP implementation)","score":0.6813902258872986},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6642466187477112},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6347010135650635},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.629909336566925},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5402438640594482},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5134952664375305},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5084964036941528},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5031437277793884},{"id":"https://openalex.org/keywords/spiral","display_name":"Spiral (railway)","score":0.5013430118560791},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.48410046100616455},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.4345908761024475},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2674427628517151},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.19979897141456604},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19596195220947266},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1887742578983307}],"concepts":[{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.8479560613632202},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.7792714834213257},{"id":"https://openalex.org/C2776545253","wikidata":"https://www.wikidata.org/wiki/Q5464292","display_name":"Folding (DSP implementation)","level":2,"score":0.6813902258872986},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6642466187477112},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6347010135650635},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.629909336566925},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5402438640594482},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5134952664375305},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5084964036941528},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5031437277793884},{"id":"https://openalex.org/C174128100","wikidata":"https://www.wikidata.org/wiki/Q846907","display_name":"Spiral (railway)","level":2,"score":0.5013430118560791},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.48410046100616455},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.4345908761024475},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2674427628517151},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.19979897141456604},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19596195220947266},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1887742578983307},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00453-009-9362-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-009-9362-8","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.295.6015","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.295.6015","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.rochester.edu/u/stefanko/Publications/Algorithmica 2011 - spiralling.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.550000011920929,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W62113036","https://openalex.org/W156621137","https://openalex.org/W1506292197","https://openalex.org/W1507366302","https://openalex.org/W1514324498","https://openalex.org/W1518473637","https://openalex.org/W1531009600","https://openalex.org/W1586417893","https://openalex.org/W1968281628","https://openalex.org/W1985534820","https://openalex.org/W2016879150","https://openalex.org/W2055650273","https://openalex.org/W2111526090","https://openalex.org/W2142370190","https://openalex.org/W2160609585","https://openalex.org/W2196559987","https://openalex.org/W2330548796","https://openalex.org/W3030259189","https://openalex.org/W4213071722","https://openalex.org/W4231199984"],"related_works":["https://openalex.org/W1487790116","https://openalex.org/W3124916295","https://openalex.org/W2022411416","https://openalex.org/W2167530280","https://openalex.org/W2146447767","https://openalex.org/W3197597876","https://openalex.org/W4248544590","https://openalex.org/W2038335296","https://openalex.org/W4381247976","https://openalex.org/W1888922010"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}