{"id":"https://openalex.org/W7084082963","doi":"https://doi.org/10.1109/tase.2025.3616407","title":"Mathematical Evolution of Origami Structures and Their Applications in Soft Robotics","display_name":"Mathematical Evolution of Origami Structures and Their Applications in Soft Robotics","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W7084082963","doi":"https://doi.org/10.1109/tase.2025.3616407"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2025.3616407","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2025.3616407","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automation Science and Engineering","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":null,"display_name":"Tao Ren","orcid":"https://orcid.org/0000-0002-0121-1526"},"institutions":[{"id":"https://openalex.org/I31595395","display_name":"Chengdu University of Technology","ror":"https://ror.org/05pejbw21","country_code":"CN","type":"education","lineage":["https://openalex.org/I31595395"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Ren","raw_affiliation_strings":["State Key Laboratory of Geohazard Prevention and Geoenvironment Protection and the School of Mechanical and Electrical Engineering, Chengdu University of Technology, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0002-0121-1526","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Geohazard Prevention and Geoenvironment Protection and the School of Mechanical and Electrical Engineering, Chengdu University of Technology, Chengdu, China","institution_ids":["https://openalex.org/I31595395"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yifan Chen","orcid":"https://orcid.org/0009-0008-3566-7004"},"institutions":[{"id":"https://openalex.org/I31595395","display_name":"Chengdu University of Technology","ror":"https://ror.org/05pejbw21","country_code":"CN","type":"education","lineage":["https://openalex.org/I31595395"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["CN","HK"],"is_corresponding":false,"raw_author_name":"Yifan Chen","raw_affiliation_strings":["Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China","State Key Laboratory of Geohazard Prevention and Geoenvironment Protection and the School of Mechanical and Electrical Engineering, Chengdu University of Technology, Chengdu, China"],"raw_orcid":"https://orcid.org/0009-0008-3566-7004","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]},{"raw_affiliation_string":"State Key Laboratory of Geohazard Prevention and Geoenvironment Protection and the School of Mechanical and Electrical Engineering, Chengdu University of Technology, Chengdu, China","institution_ids":["https://openalex.org/I31595395"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yujia Li","orcid":"https://orcid.org/0000-0002-3765-0176"},"institutions":[{"id":"https://openalex.org/I165745306","display_name":"Southwest Petroleum University","ror":"https://ror.org/03h17x602","country_code":"CN","type":"education","lineage":["https://openalex.org/I165745306"]},{"id":"https://openalex.org/I4210145761","display_name":"Shenzhen Institutes of Advanced Technology","ror":"https://ror.org/04gh4er46","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210145761"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yujia Li","raw_affiliation_strings":["Chinese Academy of Sciences, Shenzhen Institutes of Advanced Technology, Shenzhen, China","School of Mechatronic Engineering, Southwest Petroleum University, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0002-3765-0176","affiliations":[{"raw_affiliation_string":"Chinese Academy of Sciences, Shenzhen Institutes of Advanced Technology, Shenzhen, China","institution_ids":["https://openalex.org/I4210145761"]},{"raw_affiliation_string":"School of Mechatronic Engineering, Southwest Petroleum University, Chengdu, China","institution_ids":["https://openalex.org/I165745306"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yang Yang","orcid":"https://orcid.org/0000-0001-6216-7437"},"institutions":[{"id":"https://openalex.org/I200845125","display_name":"Nanjing University of Information Science and Technology","ror":"https://ror.org/02y0rxk19","country_code":"CN","type":"education","lineage":["https://openalex.org/I200845125"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Yang","raw_affiliation_strings":["School of Automation, Nanjing University of Information Science and Technology, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0001-6216-7437","affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Information Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I200845125"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yonghua Chen","orcid":"https://orcid.org/0000-0003-4020-1977"},"institutions":[{"id":"https://openalex.org/I31595395","display_name":"Chengdu University of Technology","ror":"https://ror.org/05pejbw21","country_code":"CN","type":"education","lineage":["https://openalex.org/I31595395"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["CN","HK"],"is_corresponding":false,"raw_author_name":"Yonghua Chen","raw_affiliation_strings":["Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China","State Key Laboratory of Geohazard Prevention and Geoenvironment Protection and the School of Mechanical and Electrical Engineering, Chengdu University of Technology, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0003-4020-1977","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]},{"raw_affiliation_string":"State Key Laboratory of Geohazard Prevention and Geoenvironment Protection and the School of Mechanical and Electrical Engineering, Chengdu University of Technology, Chengdu, China","institution_ids":["https://openalex.org/I31595395"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Simon X. Yang","orcid":"https://orcid.org/0000-0002-6888-7993"},"institutions":[{"id":"https://openalex.org/I79817857","display_name":"University of Guelph","ror":"https://ror.org/01r7awg59","country_code":"CA","type":"education","lineage":["https://openalex.org/I79817857"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Simon X. Yang","raw_affiliation_strings":["Advanced Robotics and Intelligent System (ARIS) Laboratory, School of Engineering, University of Guelph, Guelph, ON, Canada"],"raw_orcid":"https://orcid.org/0000-0002-6888-7993","affiliations":[{"raw_affiliation_string":"Advanced Robotics and Intelligent System (ARIS) Laboratory, School of Engineering, University of Guelph, Guelph, ON, Canada","institution_ids":["https://openalex.org/I79817857"]}]},{"author_position":"last","author":{"id":null,"display_name":"Yingtian Li","orcid":"https://orcid.org/0000-0001-7357-6535"},"institutions":[{"id":"https://openalex.org/I165745306","display_name":"Southwest Petroleum University","ror":"https://ror.org/03h17x602","country_code":"CN","type":"education","lineage":["https://openalex.org/I165745306"]},{"id":"https://openalex.org/I4210145761","display_name":"Shenzhen Institutes of Advanced Technology","ror":"https://ror.org/04gh4er46","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210145761"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yingtian Li","raw_affiliation_strings":["Chinese Academy of Sciences, Shenzhen Institutes of Advanced Technology, Shenzhen, China","School of Mechatronic Engineering, Southwest Petroleum University, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0001-7357-6535","affiliations":[{"raw_affiliation_string":"Chinese Academy of Sciences, Shenzhen Institutes of Advanced Technology, Shenzhen, China","institution_ids":["https://openalex.org/I4210145761"]},{"raw_affiliation_string":"School of Mechatronic Engineering, Southwest Petroleum University, Chengdu, China","institution_ids":["https://openalex.org/I165745306"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1531,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.89120472,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"22","issue":null,"first_page":"22766","last_page":"22784"},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T12484","display_name":"Retinopathy of Prematurity Studies","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T12484","display_name":"Retinopathy of Prematurity Studies","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10549","display_name":"Neonatal Respiratory Health Research","score":0.0024999999441206455,"subfield":{"id":"https://openalex.org/subfields/2740","display_name":"Pulmonary and Respiratory Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10563","display_name":"Corneal surgery and disorders","score":0.000699999975040555,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bridge","display_name":"Bridge (graph theory)","score":0.5029000043869019},{"id":"https://openalex.org/keywords/simplicity","display_name":"Simplicity","score":0.48429998755455017},{"id":"https://openalex.org/keywords/robotics","display_name":"Robotics","score":0.4645000100135803},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4214000105857849},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.4163999855518341},{"id":"https://openalex.org/keywords/robot","display_name":"Robot","score":0.34880000352859497},{"id":"https://openalex.org/keywords/engineering-design-process","display_name":"Engineering design process","score":0.3005000054836273}],"concepts":[{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.513700008392334},{"id":"https://openalex.org/C100776233","wikidata":"https://www.wikidata.org/wiki/Q2532492","display_name":"Bridge (graph theory)","level":2,"score":0.5029000043869019},{"id":"https://openalex.org/C2776372474","wikidata":"https://www.wikidata.org/wiki/Q508291","display_name":"Simplicity","level":2,"score":0.48429998755455017},{"id":"https://openalex.org/C34413123","wikidata":"https://www.wikidata.org/wiki/Q170978","display_name":"Robotics","level":3,"score":0.4645000100135803},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4487000107765198},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4214000105857849},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.4163999855518341},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35850000381469727},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.34880000352859497},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.3345000147819519},{"id":"https://openalex.org/C199639397","wikidata":"https://www.wikidata.org/wiki/Q1788588","display_name":"Engineering drawing","level":1,"score":0.3066999912261963},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.3046000003814697},{"id":"https://openalex.org/C34972735","wikidata":"https://www.wikidata.org/wiki/Q2920267","display_name":"Engineering design process","level":2,"score":0.3005000054836273},{"id":"https://openalex.org/C126298732","wikidata":"https://www.wikidata.org/wiki/Q1371892","display_name":"Structural mechanics","level":3,"score":0.2996000051498413},{"id":"https://openalex.org/C2776058767","wikidata":"https://www.wikidata.org/wiki/Q24327151","display_name":"Soft robotics","level":3,"score":0.2913999855518341},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.28999999165534973},{"id":"https://openalex.org/C33276779","wikidata":"https://www.wikidata.org/wiki/Q1943363","display_name":"Design elements and principles","level":2,"score":0.28619998693466187},{"id":"https://openalex.org/C104065381","wikidata":"https://www.wikidata.org/wiki/Q1002535","display_name":"Geometric modeling","level":2,"score":0.2791999876499176},{"id":"https://openalex.org/C108882727","wikidata":"https://www.wikidata.org/wiki/Q2991685","display_name":"Solid modeling","level":2,"score":0.27869999408721924},{"id":"https://openalex.org/C19117948","wikidata":"https://www.wikidata.org/wiki/Q1257115","display_name":"Applied mechanics","level":2,"score":0.2678000032901764},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.2590999901294708},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.257099986076355}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tase.2025.3616407","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2025.3616407","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automation Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1996824056","display_name":null,"funder_award_id":"52474004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7185165623","display_name":null,"funder_award_id":"52404063","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G870742817","display_name":null,"funder_award_id":"52327803","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8743415561","display_name":null,"funder_award_id":"52475038","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":140,"referenced_works":["https://openalex.org/W1826399803","https://openalex.org/W1943821940","https://openalex.org/W1965160170","https://openalex.org/W1984951726","https://openalex.org/W2021168987","https://openalex.org/W2025741553","https://openalex.org/W2071188031","https://openalex.org/W2073470977","https://openalex.org/W2079574144","https://openalex.org/W2131174419","https://openalex.org/W2151968342","https://openalex.org/W2154338513","https://openalex.org/W2207393510","https://openalex.org/W2213176756","https://openalex.org/W2273175535","https://openalex.org/W2295199241","https://openalex.org/W2518805994","https://openalex.org/W2574123479","https://openalex.org/W2606414106","https://openalex.org/W2614110017","https://openalex.org/W2743374112","https://openalex.org/W2761692676","https://openalex.org/W2769197062","https://openalex.org/W2787894761","https://openalex.org/W2790246068","https://openalex.org/W2801704144","https://openalex.org/W2809320336","https://openalex.org/W2811152080","https://openalex.org/W2889244218","https://openalex.org/W2895799924","https://openalex.org/W2896990192","https://openalex.org/W2904206496","https://openalex.org/W2944992884","https://openalex.org/W2956170450","https://openalex.org/W2972065438","https://openalex.org/W2972391986","https://openalex.org/W2974581633","https://openalex.org/W2980032907","https://openalex.org/W2982513476","https://openalex.org/W2990410878","https://openalex.org/W3015924185","https://openalex.org/W3016830585","https://openalex.org/W3018351812","https://openalex.org/W3024757840","https://openalex.org/W3031483795","https://openalex.org/W3033034702","https://openalex.org/W3033868467","https://openalex.org/W3046103574","https://openalex.org/W3048319725","https://openalex.org/W3087615154","https://openalex.org/W3089119435","https://openalex.org/W3094207106","https://openalex.org/W3098128465","https://openalex.org/W3109987320","https://openalex.org/W3123802464","https://openalex.org/W3163494870","https://openalex.org/W3165399698","https://openalex.org/W3169503117","https://openalex.org/W3173021563","https://openalex.org/W3187680382","https://openalex.org/W3193353607","https://openalex.org/W3198476225","https://openalex.org/W3198836402","https://openalex.org/W3216264946","https://openalex.org/W4205655960","https://openalex.org/W4210392115","https://openalex.org/W4210679737","https://openalex.org/W4212805852","https://openalex.org/W4212877676","https://openalex.org/W4220999742","https://openalex.org/W4223470374","https://openalex.org/W4225162903","https://openalex.org/W4225796442","https://openalex.org/W4281390770","https://openalex.org/W4285505731","https://openalex.org/W4286219926","https://openalex.org/W4287378163","https://openalex.org/W4288067686","https://openalex.org/W4290705530","https://openalex.org/W4293413792","https://openalex.org/W4296001845","https://openalex.org/W4307038227","https://openalex.org/W4307974734","https://openalex.org/W4309481253","https://openalex.org/W4311168165","https://openalex.org/W4312056435","https://openalex.org/W4313335936","https://openalex.org/W4317600523","https://openalex.org/W4319019500","https://openalex.org/W4322774294","https://openalex.org/W4367549670","https://openalex.org/W4379356491","https://openalex.org/W4384400927","https://openalex.org/W4384820345","https://openalex.org/W4386824924","https://openalex.org/W4387350717","https://openalex.org/W4388081313","https://openalex.org/W4389117978","https://openalex.org/W4390509133","https://openalex.org/W4390971969","https://openalex.org/W4391155052","https://openalex.org/W4391893500","https://openalex.org/W4391957381","https://openalex.org/W4392351553","https://openalex.org/W4393187815","https://openalex.org/W4394862962","https://openalex.org/W4394866851","https://openalex.org/W4396674291","https://openalex.org/W4396991092","https://openalex.org/W4398174302","https://openalex.org/W4399651025","https://openalex.org/W4401241787","https://openalex.org/W4401507428","https://openalex.org/W4403427486","https://openalex.org/W4406652248","https://openalex.org/W4406714083","https://openalex.org/W4406738953","https://openalex.org/W4406821849","https://openalex.org/W4406979404","https://openalex.org/W4406980976","https://openalex.org/W4407272406","https://openalex.org/W4407349734","https://openalex.org/W4407352580","https://openalex.org/W4407391999","https://openalex.org/W4408021664","https://openalex.org/W4408922525","https://openalex.org/W4409097163","https://openalex.org/W4409289639","https://openalex.org/W4409307429","https://openalex.org/W4409371085","https://openalex.org/W4409791163","https://openalex.org/W4410823530","https://openalex.org/W4410995603","https://openalex.org/W4411015413","https://openalex.org/W4411114945","https://openalex.org/W4411116734","https://openalex.org/W4411399554","https://openalex.org/W4411764717","https://openalex.org/W4412043865","https://openalex.org/W4414163960"],"related_works":[],"abstract_inverted_index":{"Origami,":[0],"as":[1],"an":[2],"ancient":[3],"art":[4],"form,":[5],"has":[6],"become":[7],"a":[8,54,116],"critical":[9],"design":[10,95,125],"paradigm":[11],"in":[12,107],"science":[13],"and":[14,24,67,86,94,102,122],"engineering.":[15],"While":[16],"numerous":[17],"studies":[18],"have":[19],"explored":[20],"various":[21],"origami":[22,44,77],"structures":[23],"materials,":[25],"they":[26],"often":[27],"overlook":[28],"the":[29,47,80,108,124],"fundamental":[30],"principles":[31],"that":[32,40],"unite":[33],"them.":[34],"This":[35,113],"review":[36],"seeks":[37],"to":[38,62],"bridge":[39],"gap":[41],"by":[42],"examining":[43],"engineering":[45],"through":[46],"perspective":[48],"of":[49,69,75,110,126],"mathematical":[50],"evolution.":[51],"We":[52],"outline":[53],"continuous":[55],"developmental":[56],"process,":[57],"from":[58],"kinematics-driven":[59],"planar":[60],"patterns":[61],"innovative":[63],"non-rigid,":[64],"energy-responsive":[65],"systems":[66],"mechanics":[68],"active":[70,103],"materials.":[71],"A":[72],"thorough":[73],"comparison":[74],"key":[76],"families":[78],"reveals":[79],"essential":[81],"balance":[82],"between":[83],"geometric":[84],"simplicity":[85],"mechanical":[87],"complexity.":[88],"Furthermore,":[89],"we":[90],"introduce":[91],"advanced":[92],"modeling":[93],"techniques,":[96],"including":[97],"numerical":[98],"simulation,":[99],"inverse":[100],"design,":[101],"material":[104],"mechanics,":[105],"particularly":[106],"application":[109],"soft":[111],"robotics.":[112],"study":[114],"establishes":[115],"foundational":[117],"framework":[118],"for":[119],"future":[120],"research":[121],"inspires":[123],"sophisticated,":[127],"functional":[128],"systems.":[129]},"counts_by_year":[{"year":2026,"cited_by_count":3}],"updated_date":"2026-07-17T09:13:05.818461","created_date":"2025-10-10T00:00:00"}