{"id":"https://openalex.org/W4385271041","doi":"https://doi.org/10.1145/3592399","title":"Computational Exploration of Multistable Elastic Knots","display_name":"Computational Exploration of Multistable Elastic Knots","publication_year":2023,"publication_date":"2023-07-26","ids":{"openalex":"https://openalex.org/W4385271041","doi":"https://doi.org/10.1145/3592399"},"language":"en","primary_location":{"id":"doi:10.1145/3592399","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3592399","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://infoscience.epfl.ch/handle/20.500.14299/197559","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5092324734","display_name":"Michele Vidulis","orcid":"https://orcid.org/0009-0009-2373-9581"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Michele Vidulis","raw_affiliation_strings":["EPFL, Lausanne, Switzerland"],"raw_orcid":"https://orcid.org/0009-0009-2373-9581","affiliations":[{"raw_affiliation_string":"EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038859947","display_name":"Y.J. Ren","orcid":"https://orcid.org/0000-0001-6229-3724"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Yingying Ren","raw_affiliation_strings":["EPFL, Lausanne, Switzerland"],"raw_orcid":"https://orcid.org/0000-0001-6229-3724","affiliations":[{"raw_affiliation_string":"EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070958685","display_name":"Julian Panetta","orcid":"https://orcid.org/0000-0002-8331-2354"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Julian Panetta","raw_affiliation_strings":["UC Davis, Davis, United States of America"],"raw_orcid":"https://orcid.org/0000-0002-8331-2354","affiliations":[{"raw_affiliation_string":"UC Davis, Davis, United States of America","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049319779","display_name":"Eitan Grinspun","orcid":"https://orcid.org/0000-0003-4460-7747"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Eitan Grinspun","raw_affiliation_strings":["University of Toronto, Toronto, Canada"],"raw_orcid":"https://orcid.org/0000-0003-4460-7747","affiliations":[{"raw_affiliation_string":"University of Toronto, Toronto, Canada","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072048687","display_name":"Mark V. Pauly","orcid":"https://orcid.org/0000-0003-4957-4825"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Mark Pauly","raw_affiliation_strings":["EPFL, Lausanne, Switzerland"],"raw_orcid":"https://orcid.org/0000-0003-4957-4825","affiliations":[{"raw_affiliation_string":"EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5092324734"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":1.4494,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.78299637,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"42","issue":"4","first_page":"1","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9876999855041504,"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"}},{"id":"https://openalex.org/T10789","display_name":"Interactive and Immersive Displays","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/1709","display_name":"Human-Computer Interaction"},"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/knot","display_name":"Knot (papermaking)","score":0.7980687618255615},{"id":"https://openalex.org/keywords/knot-theory","display_name":"Knot theory","score":0.6191717982292175},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5022373199462891},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35286179184913635},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34732285141944885},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.34152543544769287},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33706289529800415},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18503761291503906},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1426296830177307}],"concepts":[{"id":"https://openalex.org/C2779863119","wikidata":"https://www.wikidata.org/wiki/Q6423048","display_name":"Knot (papermaking)","level":2,"score":0.7980687618255615},{"id":"https://openalex.org/C143330242","wikidata":"https://www.wikidata.org/wiki/Q849798","display_name":"Knot theory","level":3,"score":0.6191717982292175},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5022373199462891},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35286179184913635},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34732285141944885},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.34152543544769287},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33706289529800415},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18503761291503906},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1426296830177307},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3592399","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3592399","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},{"id":"pmh:oai:infoscience.epfl.ch:302408","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/197559","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"research article"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:302408","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/197559","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"research article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1776534373","display_name":null,"funder_award_id":"FNS 514543 / CF 1156","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G2799949548","display_name":null,"funder_award_id":"RGPIN-2021-03733","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":86,"referenced_works":["https://openalex.org/W1492336594","https://openalex.org/W1600031547","https://openalex.org/W1639821341","https://openalex.org/W1817474533","https://openalex.org/W1896893915","https://openalex.org/W1964083190","https://openalex.org/W1969261142","https://openalex.org/W1988986104","https://openalex.org/W1989990362","https://openalex.org/W1991211563","https://openalex.org/W1998335098","https://openalex.org/W1999296146","https://openalex.org/W2005112074","https://openalex.org/W2007243548","https://openalex.org/W2007755917","https://openalex.org/W2014216589","https://openalex.org/W2014686519","https://openalex.org/W2016369317","https://openalex.org/W2016374046","https://openalex.org/W2023595764","https://openalex.org/W2025070532","https://openalex.org/W2025656698","https://openalex.org/W2035238557","https://openalex.org/W2038099638","https://openalex.org/W2050091273","https://openalex.org/W2059382954","https://openalex.org/W2060557794","https://openalex.org/W2069159861","https://openalex.org/W2070338430","https://openalex.org/W2075117448","https://openalex.org/W2080282883","https://openalex.org/W2083888884","https://openalex.org/W2091439137","https://openalex.org/W2118250094","https://openalex.org/W2119851068","https://openalex.org/W2124299914","https://openalex.org/W2134827800","https://openalex.org/W2142977653","https://openalex.org/W2153292122","https://openalex.org/W2158251088","https://openalex.org/W2164636472","https://openalex.org/W2168050137","https://openalex.org/W2170171286","https://openalex.org/W2238906691","https://openalex.org/W2325575424","https://openalex.org/W2330224118","https://openalex.org/W2477707004","https://openalex.org/W2479531384","https://openalex.org/W2493056632","https://openalex.org/W2591692480","https://openalex.org/W2595753002","https://openalex.org/W2612927374","https://openalex.org/W2769081107","https://openalex.org/W2788830470","https://openalex.org/W2794818380","https://openalex.org/W2800462299","https://openalex.org/W2891984837","https://openalex.org/W2913510987","https://openalex.org/W2956170450","https://openalex.org/W3037011907","https://openalex.org/W3037941729","https://openalex.org/W3048889784","https://openalex.org/W3089354495","https://openalex.org/W3096074234","https://openalex.org/W3102280871","https://openalex.org/W3103178135","https://openalex.org/W3104844908","https://openalex.org/W3104968610","https://openalex.org/W3104983159","https://openalex.org/W3111036211","https://openalex.org/W3121278036","https://openalex.org/W3124788680","https://openalex.org/W3128667589","https://openalex.org/W3130116239","https://openalex.org/W3173434780","https://openalex.org/W3183067110","https://openalex.org/W3202938794","https://openalex.org/W3207020419","https://openalex.org/W4205277870","https://openalex.org/W4210435747","https://openalex.org/W4211172769","https://openalex.org/W4242870561","https://openalex.org/W4244481070","https://openalex.org/W4251250309","https://openalex.org/W4301173492","https://openalex.org/W6907493066"],"related_works":["https://openalex.org/W3207350140","https://openalex.org/W1495779939","https://openalex.org/W2964242695","https://openalex.org/W2793606861","https://openalex.org/W2311482425","https://openalex.org/W2753977118","https://openalex.org/W2950745323","https://openalex.org/W2101575898","https://openalex.org/W2032825982","https://openalex.org/W2954666679"],"abstract_inverted_index":{"We":[0,72,161],"present":[1],"an":[2,112],"algorithmic":[3],"approach":[4],"to":[5,85,110,125,170],"discover,":[6],"study,":[7],"and":[8,30,51,82,136,147,175,188],"design":[9,171],"multistable":[10,69,117,164],"elastic":[11,49,58,92,165],"knots.":[12,93,118],"Elastic":[13],"knots":[14,38,59,132,166],"are":[15,68],"physical":[16,35,137,180],"realizations":[17],"of":[18,33,53,91,105,116,123],"closed":[19],"curves":[20],"embedded":[21],"in":[22],"3-space.":[23],"When":[24],"endowed":[25],"with":[26,133],"the":[27,45,54,156],"material":[28],"thickness":[29],"bending":[31],"resistance":[32],"a":[34,74,121],"wire,":[36],"these":[37,186],"settle":[39],"into":[40],"equilibrium":[41,64,89],"states":[42,90],"that":[43,77,153],"balance":[44],"forces":[46],"induced":[47],"by":[48],"deformation":[50],"self-contacts":[52],"wire.":[55],"In":[56],"general,":[57],"can":[60,167],"have":[61],"many":[62],"distinct":[63],"states,":[65],"i.e.":[66],"they":[67],"mechanical":[70],"systems.":[71],"propose":[73],"computational":[75],"pipeline":[76,102],"combines":[78],"randomized":[79],"spatial":[80],"sampling":[81],"physics":[83],"simulation":[84],"efficiently":[86],"find":[87],"stable":[88],"Leveraging":[94],"results":[95],"from":[96],"knot":[97,108,143,159],"theory,":[98],"we":[99,128],"run":[100],"our":[101,190],"on":[103],"thousands":[104],"different":[106,183],"topological":[107,148],"types":[109,144],"create":[111],"extensive":[113],"data":[114],"set":[115],"By":[119],"applying":[120],"series":[122],"filters":[124],"this":[126],"data,":[127],"discover":[129],"new":[130],"transformable":[131],"interesting":[134],"geometric":[135,146],"properties.":[138],"A":[139],"further":[140],"analysis":[141],"across":[142],"reveals":[145],"patterns,":[149],"yielding":[150],"constructive":[151],"principles":[152],"generalize":[154],"beyond":[155],"currently":[157],"tabulated":[158],"types.":[160],"show":[162],"how":[163],"be":[168],"used":[169],"novel":[172],"deployable":[173],"structures":[174],"engaging":[176],"recreational":[177],"puzzles.":[178],"Several":[179],"prototypes":[181],"at":[182],"scales":[184],"highlight":[185],"applications":[187],"validate":[189],"simulation.":[191]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}