{"id":"https://openalex.org/W2896066980","doi":"https://doi.org/10.3390/sym10100469","title":"A Computational Design Method for Tucking Axisymmetric Origami Consisting of Triangular Facets","display_name":"A Computational Design Method for Tucking Axisymmetric Origami Consisting of Triangular Facets","publication_year":2018,"publication_date":"2018-10-10","ids":{"openalex":"https://openalex.org/W2896066980","doi":"https://doi.org/10.3390/sym10100469","mag":"2896066980"},"language":"en","primary_location":{"id":"doi:10.3390/sym10100469","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10100469","pdf_url":"https://www.mdpi.com/2073-8994/10/10/469/pdf?version=1539152741","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/10/10/469/pdf?version=1539152741","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040422061","display_name":"Yan Zhao","orcid":"https://orcid.org/0000-0002-7326-8695"},"institutions":[{"id":"https://openalex.org/I115592961","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30","country_code":"CN","type":"education","lineage":["https://openalex.org/I115592961"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yan Zhao","raw_affiliation_strings":["School of Computer Science and Communication Engineering, Jiangsu University, 301 Xuefu Road, Zhenjiang 212013, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Communication Engineering, Jiangsu University, 301 Xuefu Road, Zhenjiang 212013, China","institution_ids":["https://openalex.org/I115592961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079605823","display_name":"Yuki Endo","orcid":"https://orcid.org/0000-0001-5132-3350"},"institutions":[{"id":"https://openalex.org/I136259955","display_name":"Toyohashi University of Technology","ror":"https://ror.org/04ezg6d83","country_code":"JP","type":"education","lineage":["https://openalex.org/I136259955"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yuki Endo","raw_affiliation_strings":["Department of Computer Science and Engineering, Toyohashi University of Technology, Toyohashi 4418580, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Toyohashi University of Technology, Toyohashi 4418580, Japan","institution_ids":["https://openalex.org/I136259955"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001835128","display_name":"Yoshihiro Kanamori","orcid":"https://orcid.org/0000-0003-2843-1729"},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"education","lineage":["https://openalex.org/I146399215"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yoshihiro Kanamori","raw_affiliation_strings":["Graduate School of Systems and Information Engineering, University of Tsukuba, Tsukuba 3050006, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Systems and Information Engineering, University of Tsukuba, Tsukuba 3050006, Japan","institution_ids":["https://openalex.org/I146399215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026765677","display_name":"Jun Mitani","orcid":"https://orcid.org/0000-0002-1596-844X"},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"education","lineage":["https://openalex.org/I146399215"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Jun Mitani","raw_affiliation_strings":["Graduate School of Systems and Information Engineering, University of Tsukuba, Tsukuba 3050006, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Systems and Information Engineering, University of Tsukuba, Tsukuba 3050006, Japan","institution_ids":["https://openalex.org/I146399215"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5040422061"],"corresponding_institution_ids":["https://openalex.org/I115592961"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":0.1419,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.46125119,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"10","issue":"10","first_page":"469","last_page":"469"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11737","display_name":"Advanced Materials and Mechanics","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11737","display_name":"Advanced Materials and Mechanics","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/T10338","display_name":"Advanced Sensor and Energy Harvesting Materials","score":0.9789000153541565,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T12784","display_name":"Modular Robots and Swarm Intelligence","score":0.9789000153541565,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/blank","display_name":"Blank","score":0.7165191769599915},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6099383234977722},{"id":"https://openalex.org/keywords/rotational-symmetry","display_name":"Rotational symmetry","score":0.5842887759208679},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5755726099014282},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.49393802881240845},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.46959367394447327},{"id":"https://openalex.org/keywords/folding","display_name":"Folding (DSP implementation)","score":0.444315642118454},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.42580878734588623},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.41759130358695984},{"id":"https://openalex.org/keywords/hinge","display_name":"Hinge","score":0.41479676961898804},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3342689275741577},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18605995178222656},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.15303239226341248},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.15107449889183044},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.1488458812236786},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.130001038312912},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.11819559335708618}],"concepts":[{"id":"https://openalex.org/C2778089247","wikidata":"https://www.wikidata.org/wiki/Q368951","display_name":"Blank","level":2,"score":0.7165191769599915},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6099383234977722},{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.5842887759208679},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5755726099014282},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.49393802881240845},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.46959367394447327},{"id":"https://openalex.org/C2776545253","wikidata":"https://www.wikidata.org/wiki/Q5464292","display_name":"Folding (DSP implementation)","level":2,"score":0.444315642118454},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.42580878734588623},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.41759130358695984},{"id":"https://openalex.org/C44000306","wikidata":"https://www.wikidata.org/wiki/Q244330","display_name":"Hinge","level":2,"score":0.41479676961898804},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3342689275741577},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18605995178222656},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.15303239226341248},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.15107449889183044},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.1488458812236786},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.130001038312912},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.11819559335708618},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/sym10100469","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10100469","pdf_url":"https://www.mdpi.com/2073-8994/10/10/469/pdf?version=1539152741","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:tsukuba.repo.nii.ac.jp:00049999","is_oa":true,"landing_page_url":"http://hdl.handle.net/2241/00155453","pdf_url":"https://tsukuba.repo.nii.ac.jp/record/49999/files/SYMMETRY_10-469.pdf","source":{"id":"https://openalex.org/S4306402076","display_name":"Terrestrial Environment Research Center (University of Tsukuba)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I146399215","host_organization_name":"University of Tsukuba","host_organization_lineage":["https://openalex.org/I146399215"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:doaj.org/article:35a1ab28dceb4aff96d404e34b58978d","is_oa":true,"landing_page_url":"https://doaj.org/article/35a1ab28dceb4aff96d404e34b58978d","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 10, Iss 10, p 469 (2018)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/10/10/469/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/sym10100469","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym10100469","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10100469","pdf_url":"https://www.mdpi.com/2073-8994/10/10/469/pdf?version=1539152741","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6100000143051147,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2896066980.pdf"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W37157642","https://openalex.org/W44779237","https://openalex.org/W861968640","https://openalex.org/W1940104921","https://openalex.org/W1989961031","https://openalex.org/W2012981196","https://openalex.org/W2017248138","https://openalex.org/W2047786995","https://openalex.org/W2078326572","https://openalex.org/W2078608781","https://openalex.org/W2107339097","https://openalex.org/W2122076394","https://openalex.org/W2131063824","https://openalex.org/W2168069209","https://openalex.org/W2188605259","https://openalex.org/W2273175535","https://openalex.org/W2298775225","https://openalex.org/W2332723607","https://openalex.org/W2336791908","https://openalex.org/W2553582875","https://openalex.org/W2560526426","https://openalex.org/W2728062549","https://openalex.org/W2767537035","https://openalex.org/W2769197062","https://openalex.org/W2784010117","https://openalex.org/W4256310001","https://openalex.org/W6601871958","https://openalex.org/W6623838444","https://openalex.org/W6702874115","https://openalex.org/W6729379386","https://openalex.org/W6730261582","https://openalex.org/W6747691539"],"related_works":["https://openalex.org/W2361638505","https://openalex.org/W2370352440","https://openalex.org/W2009954581","https://openalex.org/W4296141694","https://openalex.org/W2379220204","https://openalex.org/W2005071119","https://openalex.org/W4249926107","https://openalex.org/W1986419916","https://openalex.org/W2359063585","https://openalex.org/W3174580583"],"abstract_inverted_index":{"Three-dimensional":[0],"(3D)":[1],"origami,":[2],"which":[3,81,192],"can":[4,34,162],"generate":[5,36,141],"a":[6,10,14,37,53,107,142,170,180,209,213],"structure":[7],"through":[8,175],"folding":[9],"crease":[11,39,103,125,148,166],"pattern":[12,40,126],"on":[13,52,188,203,212],"flat":[15],"sheet":[16],"of":[17,30,55,59,85,172],"paper,":[18,49],"has":[19],"received":[20],"considerable":[21],"attention":[22],"in":[23,66,123],"art,":[24],"mathematics,":[25],"and":[26,41,62,168],"engineering.":[27],"With":[28],"consideration":[29],"symmetry,":[31],"the":[32,43,64,79,83,86,115,124,128,147,156,173,189,199,204,219],"user":[33],"efficiently":[35],"rational":[38],"make":[42],"fabricated":[44],"shape":[45,144],"stable.":[46],"In":[47],"this":[48],"we":[50,178,207],"focus":[51],"category":[54],"axisymmetric":[56],"origami":[57,65,174,216],"consisting":[58],"triangular":[60],"facets":[61],"edit":[63],"3D":[67,190],"space":[68],"for":[69,97,197],"expanding":[70],"its":[71],"variations.":[72],"However,":[73],"it":[74],"is":[75,109,130,138],"difficult":[76,139],"to":[77,93,140,146,183,217],"retain":[78],"developability,":[80],"requires":[82],"sum":[84],"angles":[87],"around":[88],"each":[89,153],"interior":[90,195],"vertex":[91],"needing":[92],"equal":[94],"360":[95,112,133],"degrees,":[96],"designing":[98],"origami.":[99,201],"Intersections":[100],"occur":[101],"between":[102],"lines":[104,149,167],"when":[105,127],"such":[106],"value":[108,129],"larger":[110],"than":[111,132],"degrees.":[113,134],"On":[114],"other":[116],"hand,":[117],"blank":[118,160],"spaces":[119,161],"(unfolded":[120],"areas)":[121],"emerge":[122],"less":[131],"The":[135],"former":[136],"case":[137],"realizable":[143],"due":[145],"are":[150],"intersected":[151],"with":[152,165],"other.":[154],"For":[155],"latter":[157],"case,":[158],"however,":[159],"be":[163],"filled":[164],"become":[169],"part":[171],"tucking.":[176],"Here,":[177],"propose":[179],"computational":[181],"method":[182],"add":[184],"flaps":[185],"or":[186],"tucks":[187],"shape,":[191],"contains":[193],"non-developable":[194],"vertices,":[196],"achieving":[198],"resulting":[200],"Finally,":[202],"application":[205],"side,":[206],"describe":[208],"load-bearing":[210],"experiment":[211],"stool":[214],"shape-like":[215],"demonstrate":[218],"potential":[220],"usage.":[221]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}