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Title: The knowledge of knots: an interdisciplinary literature review
Authors: Paulo Santos
Advisor: Knots 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.
Issue Date: 30-Sep-2019
Keywords: Artificial intelligence (AI)
Common sense and qualitative models of space
Qualitative reasoning
Journal: Spatial Cognition and Computation
ISSN: 1387-5868
Citation: SANTOS, 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.
Access Type: Acesso Restrito
DOI: 10.1080/13875868.2019.1667998
Appears in Collections:Artigos

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