{"id":"https://openalex.org/W2042115984","doi":"https://doi.org/10.1007/s004540010075","title":"The screensaver map: Dynamics on elliptic curves arising from polygonal folding","display_name":"The screensaver map: Dynamics on elliptic curves arising from polygonal folding","publication_year":2001,"publication_date":"2001-04-01","ids":{"openalex":"https://openalex.org/W2042115984","doi":"https://doi.org/10.1007/s004540010075","mag":"2042115984"},"language":"en","primary_location":{"id":"doi:10.1007/s004540010075","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s004540010075","pdf_url":"https://link.springer.com/content/pdf/10.1007/s004540010075.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s004540010075.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057259332","display_name":"J. Esch","orcid":null},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"J. Esch","raw_affiliation_strings":["Department of Mathematical Sciences, University of Alberta, T6G 2G1, Edmonton, Alberta, Canada","Department of Mathematical Sciences, University of Alberta, Edmonton, Canada, T6G 2G1"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Alberta, T6G 2G1, Edmonton, Alberta, Canada","institution_ids":["https://openalex.org/I154425047"]},{"raw_affiliation_string":"Department of Mathematical Sciences, University of Alberta, Edmonton, Canada, T6G 2G1","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109554308","display_name":"T. D. Rogers","orcid":null},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"T. D. Rogers","raw_affiliation_strings":["Department of Mathematical Sciences, University of Alberta, T6G 2G1, Edmonton, Alberta, Canada","Department of Mathematical Sciences, University of Alberta, Edmonton, Canada, T6G 2G1"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Alberta, T6G 2G1, Edmonton, Alberta, Canada","institution_ids":["https://openalex.org/I154425047"]},{"raw_affiliation_string":"Department of Mathematical Sciences, University of Alberta, Edmonton, Canada, T6G 2G1","institution_ids":["https://openalex.org/I154425047"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5057259332"],"corresponding_institution_ids":["https://openalex.org/I154425047"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.4466,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.79507116,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"25","issue":"3","first_page":"477","last_page":"502"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9975000023841858,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9975000023841858,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9973000288009644,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9966999888420105,"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/quadrilateral","display_name":"Quadrilateral","score":0.8440253734588623},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8026584386825562},{"id":"https://openalex.org/keywords/folding","display_name":"Folding (DSP implementation)","score":0.6886712312698364},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.6199311017990112},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5060004591941833},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.503070056438446},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.47986549139022827},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4761616885662079},{"id":"https://openalex.org/keywords/translation","display_name":"Translation (biology)","score":0.472177654504776},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.363197922706604},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3592914938926697},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32250869274139404},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09119865298271179},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07486778497695923}],"concepts":[{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.8440253734588623},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8026584386825562},{"id":"https://openalex.org/C2776545253","wikidata":"https://www.wikidata.org/wiki/Q5464292","display_name":"Folding (DSP implementation)","level":2,"score":0.6886712312698364},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.6199311017990112},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5060004591941833},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.503070056438446},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.47986549139022827},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4761616885662079},{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.472177654504776},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.363197922706604},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3592914938926697},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32250869274139404},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09119865298271179},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07486778497695923},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C105580179","wikidata":"https://www.wikidata.org/wiki/Q188928","display_name":"Messenger RNA","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s004540010075","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s004540010075","pdf_url":"https://link.springer.com/content/pdf/10.1007/s004540010075.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s004540010075","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s004540010075","pdf_url":"https://link.springer.com/content/pdf/10.1007/s004540010075.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.4000000059604645}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2042115984.pdf","grobid_xml":"https://content.openalex.org/works/W2042115984.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W850040988","https://openalex.org/W1486898453","https://openalex.org/W1589201628","https://openalex.org/W1589522393","https://openalex.org/W1604636366","https://openalex.org/W1979684610","https://openalex.org/W2043548887","https://openalex.org/W2083291746","https://openalex.org/W2172014768","https://openalex.org/W2285371954","https://openalex.org/W2314650416","https://openalex.org/W2801179766","https://openalex.org/W3175367423","https://openalex.org/W4234361933","https://openalex.org/W4240337271","https://openalex.org/W4292482156","https://openalex.org/W4308293964"],"related_works":["https://openalex.org/W4225381306","https://openalex.org/W2092447180","https://openalex.org/W2953041517","https://openalex.org/W1968844089","https://openalex.org/W3207797503","https://openalex.org/W2623200224","https://openalex.org/W115634130","https://openalex.org/W2029293816","https://openalex.org/W2795867302","https://openalex.org/W4283387579"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
