Tight open knots

Abstract

The most tight conformations of prime knots are found with the use of the SONO algorithm. Their curvature and torsion profiles are calculated. Symmetry of the knots is analysed. Connections with the physics of polymers are discussed.

11 pages, 8 figures

Cited by in corpus (16)

• Metastable tight knots in a worm-like polymer
• Tightening of knots in proteins
• Learning Predictive Representations for Deformable Objects Using Contrastive Estimation
• Sequence-specific size, structure, and stability of tight protein knots
• Dynamics of Self-Threading Ring Polymers in a Gel
• Matched asymptotic expansions for twisted elastic knots: a self-contact problem with non- trivial contact topology
• The shapes of physical trefoil knots
• On the groundstate energy of tight knots
• Learning to Manipulate Deformable Objects without Demonstrations
• Topological effects in the thermal properties of knotted polymer rings
• A systematic classification of knotoids on the plane and on the sphere
• The Shapes of Tight Composite Knots
• A study of polymer knots using a simple knot invariant written consisting of multiple contour integrals
• Qubits from tight knots and bent nano-bars
• A principle for ideal torus knots
• The Ropelength of Complex Knots