Curvature and torsion of the tight closed trefoil knot
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Many complex knots used for connecting and decorations must be tightened at specific locations along the rope by leveraging friction locks.
“However, many complex knots used for connecting and decorations must be tightened at specific locations along the rope [288] by leveraging friction locks [289,290,291,292], i.e., locations where friction resits the rope against external forces.”
From Data-Driven Robotic Manipulation of Cloth-like Deformable Objects: The Present, Challenges and Future Prospects (2023) · cites this paper as [289]
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Knot tightening by constrained gradient descent
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“However, many complex knots used for connecting and decorations must be tightened at specific locations along the rope [288] by leveraging friction locks [289–292], i.e., locations where friction resits the rope against external forces.”
Background
- Authors
- Baranska, J., Przybyl, S., & Pieranski, P.
- Affiliations
- Poznań University of Technology (PL)
- Corresponding author
- Baranska, J.
- Venue
- The European Physical Journal B
- Published
- 2008-12
- Volume
- 66
- Issue
- 4
- Pages
- 547-556
- ISSN
- 1434-6028 (ISSN-L)
- 1434-6036
- OpenAlex
- W2070148573
- Cited by
- 20
- References
- 38
- Citations by year
- 2025: 1 · 2024: 1 · 2023: 1 · 2022: 1 · 2020: 2 · 2019: 1 · 2018: 2 · 2017: 1 · 2016: 1 · 2015: 3 · 2014: 2 · 2013: 1 · 2012: 1
- FWCI
- 0.95
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- The European Physical Journal B (publishedVersion)
- Springer Link (Chiba Institute of Technology) (submittedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Advanced Differential Geometry Research
- Physical Sciences › Mathematics › Applied Mathematics › Geometric Analysis and Curvature Flows
- Keywords
- trefoil knot, curvature, torsion, knot geometry
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