{"id":"https://openalex.org/W2572779711","doi":"https://doi.org/10.29007/6fc5","title":"A Mathematica module for Conformal Geometric Algebra and Origami Folding","display_name":"A Mathematica module for Conformal Geometric Algebra and Origami Folding","publication_year":2018,"publication_date":"2018-01-23","ids":{"openalex":"https://openalex.org/W2572779711","doi":"https://doi.org/10.29007/6fc5","mag":"2572779711"},"language":"en","primary_location":{"id":"doi:10.29007/6fc5","is_oa":true,"landing_page_url":"https://doi.org/10.29007/6fc5","pdf_url":"https://easychair.org/publications/open/8jDf","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://easychair.org/publications/open/8jDf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110145647","display_name":"Mitsuhiro Kondo","orcid":null},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Mitsuhiro Kondo","raw_affiliation_strings":["Graduate School of Mathematics, Kyushu University, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Mathematics, Kyushu University, Japan","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103003902","display_name":"Takuya Matsuo","orcid":"https://orcid.org/0000-0001-6113-3622"},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takuya Matsuo","raw_affiliation_strings":["Graduate School of Mathematics, Kyushu University, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Mathematics, Kyushu University, Japan","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054312457","display_name":"Yoshihiro Mizoguchi","orcid":null},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yoshihiro Mizoguchi","raw_affiliation_strings":["Institute of Mathematics for Industry, Kyushu University, Japan"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics for Industry, Kyushu University, Japan","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004147750","display_name":"Hiroyuki Ochiai","orcid":"https://orcid.org/0000-0001-7778-4227"},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroyuki Ochiai","raw_affiliation_strings":["Institute of Mathematics for Industry, Kyushu University, Japan"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics for Industry, Kyushu University, Japan","institution_ids":["https://openalex.org/I135598925"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5110145647"],"corresponding_institution_ids":["https://openalex.org/I135598925"],"apc_list":null,"apc_paid":null,"fwci":0.7659,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.66148317,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"39","issue":null,"first_page":"68","last_page":"54"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9968000054359436,"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/T12504","display_name":"Mathematics and Applications","score":0.9968000054359436,"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T13267","display_name":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","score":0.9873999953269958,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/folding","display_name":"Folding (DSP implementation)","score":0.6314278244972229},{"id":"https://openalex.org/keywords/geometric-algebra","display_name":"Geometric algebra","score":0.5284193158149719},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.517910897731781},{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.49799537658691406},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4737430512905121},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.46476706862449646},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44290897250175476},{"id":"https://openalex.org/keywords/geometric-modeling","display_name":"Geometric modeling","score":0.4412067234516144},{"id":"https://openalex.org/keywords/conformal-geometric-algebra","display_name":"Conformal geometric algebra","score":0.42013415694236755},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4172397255897522},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4140874147415161},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3239400088787079},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.32346150279045105},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.26595473289489746},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.161049485206604},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.11860582232475281}],"concepts":[{"id":"https://openalex.org/C2776545253","wikidata":"https://www.wikidata.org/wiki/Q5464292","display_name":"Folding (DSP implementation)","level":2,"score":0.6314278244972229},{"id":"https://openalex.org/C180671464","wikidata":"https://www.wikidata.org/wiki/Q1186649","display_name":"Geometric algebra","level":4,"score":0.5284193158149719},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.517910897731781},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.49799537658691406},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4737430512905121},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.46476706862449646},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44290897250175476},{"id":"https://openalex.org/C104065381","wikidata":"https://www.wikidata.org/wiki/Q1002535","display_name":"Geometric modeling","level":2,"score":0.4412067234516144},{"id":"https://openalex.org/C147898140","wikidata":"https://www.wikidata.org/wiki/Q5160252","display_name":"Conformal geometric algebra","level":5,"score":0.42013415694236755},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4172397255897522},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4140874147415161},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3239400088787079},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.32346150279045105},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26595473289489746},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.161049485206604},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.11860582232475281},{"id":"https://openalex.org/C169171071","wikidata":"https://www.wikidata.org/wiki/Q5449241","display_name":"Filtered algebra","level":3,"score":0.0},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.29007/6fc5","is_oa":true,"landing_page_url":"https://doi.org/10.29007/6fc5","pdf_url":"https://easychair.org/publications/open/8jDf","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.29007/6fc5","is_oa":true,"landing_page_url":"https://doi.org/10.29007/6fc5","pdf_url":"https://easychair.org/publications/open/8jDf","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2521286739","display_name":null,"funder_award_id":"CREST","funder_id":"https://openalex.org/F4320334789","funder_display_name":"Japan Science and Technology Agency"},{"id":"https://openalex.org/G2920681495","display_name":null,"funder_award_id":"(CREST)","funder_id":"https://openalex.org/F4320338075","funder_display_name":"Core Research for Evolutional Science and Technology"},{"id":"https://openalex.org/G4611969921","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320334789","funder_display_name":"Japan Science and Technology Agency"},{"id":"https://openalex.org/G4864544293","display_name":null,"funder_award_id":"Japan","funder_id":"https://openalex.org/F4320334789","funder_display_name":"Japan Science and Technology Agency"},{"id":"https://openalex.org/G7485138276","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320334789","funder_display_name":"Japan Science and Technology Agency"}],"funders":[{"id":"https://openalex.org/F4320334789","display_name":"Japan Science and Technology Agency","ror":"https://ror.org/00097mb19"},{"id":"https://openalex.org/F4320338075","display_name":"Core Research for Evolutional Science and Technology","ror":"https://ror.org/00097mb19"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2572779711.pdf","grobid_xml":"https://content.openalex.org/works/W2572779711.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1454459853","https://openalex.org/W1600874933","https://openalex.org/W1989920865","https://openalex.org/W1995840422","https://openalex.org/W2090782210","https://openalex.org/W2343231375","https://openalex.org/W2501616616"],"related_works":["https://openalex.org/W4297796763","https://openalex.org/W2579897398","https://openalex.org/W2132811011","https://openalex.org/W2107205520","https://openalex.org/W3140752298","https://openalex.org/W2134462663","https://openalex.org/W2052223824","https://openalex.org/W2105896053","https://openalex.org/W3112021411","https://openalex.org/W266516091"],"abstract_inverted_index":{"We":[0,20,70],"implemented":[1],"a":[2,32],"Mathematica":[3],"module":[4],"of":[5,45,56],"CGA":[6,12,33,68,91,106],"which":[7,28],"includes":[8],"functions":[9],"to":[10,31,60],"denote":[11],"elements":[13],"and":[14,82,93],"compute":[15],"several":[16],"operations":[17,86],"in":[18,25,87],"CGA.":[19],"can":[21,48],"draw":[22,36],"the":[23,72],"figure":[24],"3D":[26,62,88],"space":[27],"is":[29,38,59],"corresponding":[30],"element.":[34],"Our":[35],"function":[37],"using":[39,65,90],"Gr\\\"{o}bner":[40],"Basis":[41],"for":[42,51],"simplifying":[43],"equations":[44],"figures.":[46,54],"It":[47],"be":[49],"used":[50],"any":[52],"dimensional":[53],"One":[55],"our":[57,66],"motivations":[58],"realize":[61],"origami":[63,75,102],"system":[64,76],"own":[67],"Library.":[69],"follow":[71],"2D":[73],"computational":[74],"E-Origami-System":[77],"developed":[78],"by":[79,89,104],"Ida":[80],"et.al.":[81],"formulated":[83],"simple":[84],"fold":[85],"points":[92],"motions.":[94],"Then,":[95],"we":[96],"proved":[97],"some":[98],"geometric":[99],"theorems":[100],"about":[101],"properties":[103],"computing":[105],"equation":[107],"formulas.":[108]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-03-14T08:43:22.919905","created_date":"2025-10-10T00:00:00"}
