The knowledge of knots: an interdisciplinary literature review

Autor(es)

Santos, Paulo E. ^{[1, 2]} ; Cabalar, Pedro ^[3] ; Casati, Roberto ^{[4, 5]}

Afiliação do(s) autor(es)

^[1] Ctr Univ FEI, Elect Engn Dept, Sao Paulo - Brazil

^[2] Flinders Univ S Australia, Coll Sci & Engn, Adelaide, SA - Australia

^[3] Univ A Coruna, CITIC Res Ctr, La Coruna - Spain

^[4] Ecole Normale Super, Inst Jean Nicod, Paris - France

^[5] Ecole Hautes Etud Sci Sociales, Paris - France

• Tipo de documento: Artigo de Revisão
• Fonte: Spatial Cognition and Computation; v. 19, n. 4, p. 334-358, OCT 2 2019.
• Citações Web of Science: 0

Resumo

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. (AU)

• Processo FAPESP: 16/18792-9 - Descrição, representação e solução de jogos espaciais
• Beneficiário: Paulo Eduardo Santos
• Modalidade de apoio: Auxílio à Pesquisa - Parceria para Inovação Tecnológica - PITE