The knowledge of knots: an interdisciplinary literature review

dc.contributor.advisorKnots can be found and used in a variety of situations in the 3D world, such as in vines, in the DNA, polymer chains, electrical wires, in mountaineering, seamanship and when ropes or other flexible objects are involved for exerting forces and holding objects in place. Research on knots as topological entities has contributed with a number of findings, not only of interest to pure mathematics, but also to statistical mechanics, quantum physics, genetics, and chemistry. Yet, the cognitive (or algorithmic) aspects involved in the act of tying a knot are a largely uncharted territory. This paper presents a review of the literature related to the investigation of knots from the topological, physical, cognitive and computational (including robotics) standpoints, aiming at bridging the gap between pure mathematical work on knot theory and macroscopic physical knots, with an eye to applications and modeling.
dc.contributor.authorPaulo Santos
dc.contributor.authorCABALAR, PEDRO
dc.contributor.authorCASATI, ROBERTO
dc.contributor.authorOrcidhttps://orcid.org/0000-0001-8484-0354
dc.date.accessioned2021-11-11T18:46:20Z
dc.date.available2021-11-11T18:46:20Z
dc.date.issued2019-09-30
dc.description.firstpage334
dc.description.issuenumber4
dc.description.lastpage358
dc.description.volume19
dc.identifier.citationSANTOS, P. E.; CABALAR, P.; CASATI, R. The knowledge of knots: an interdisciplinary literature review. Spatial Cognition and Computation, v. 19, n. 4, p. 334-358, 2019.
dc.identifier.doi10.1080/13875868.2019.1667998
dc.identifier.issn1387-5868
dc.identifier.urihttps://repositorio.fei.edu.br/handle/FEI/3461
dc.relation.ispartofSpatial Cognition and Computation
dc.rightsAcesso Restrito
dc.subjectArtificial intelligence (AI)
dc.subjectCommon sense and qualitative models of space
dc.subjectQualitative reasoning
dc.subjectTopology
dc.titleThe knowledge of knots: an interdisciplinary literature reviewpt_BR
dc.typeArtigopt_BR
fei.scopus.citations2
fei.scopus.eid2-s2.0-85074302785
fei.scopus.updated2023-10-01
fei.source.urlhttps://www.tandfonline.com/doi/full/10.1080/13875868.2019.1667998
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