Energy, ropelength, and other physical aspects of equilateral knots.

DOI10.1016/S0021-9991(03)00026-3zbMath1072.74533MaRDI QIDQ1873403

Eric J. Rawdon, Kenneth C. Millett

Publication date: 20 May 2003

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

energyThicknessKnot spacePolygonal knots

Mathematics Subject Classification ID

Related Items (15)

The linking number in systems with periodic boundary conditions ⋮ Shape optimization of self-avoiding curves ⋮ New Stick Number Bounds from Random Sampling of Confined Polygons ⋮ Criticality for the Gehring link problem ⋮ Can Computers Discover Ideal Knots? ⋮ STICK AND RAMSEY NUMBERS OF TORUS LINKS ⋮ All prime knots through 10 crossings have superbridge index ≤ 5 ⋮ A descent scheme for thick elastic curves with self-contact and container constraints ⋮ Knots with exactly 10 sticks ⋮ Relative Frequencies of Alternating and Nonalternating Prime Knots and Composite Knots in Random Knot Spaces ⋮ The generation of random equilateral polygons ⋮ POLYGONAL APPROXIMATION AND ENERGY OF SMOOTH KNOTS ⋮ Möbius energy of thick knots ⋮ The tightest knot is not necessarily the smallest ⋮ The ropelength of complex knots

Uses Software

• KnotPlot

Cites Work

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• Elementary structure of real algebraic varieties
• Energy of a knot
• A polynomial invariant of oriented links
• Family of energy functionals of knots
• The first 1,701,936 knots
• Thickness and crossing number of knots
• Thickness of knots
• Energy functionals of knots. II
• Möbius energy of knots and unknots
• Closed curves with no quadrisecants
• Möbius energy of thick knots
• On the total curvature of knots
• A new polynomial invariant of knots and links
• On Distortion and Thickness of Knots
• NONTRIVIAL EMBEDDINGS OF POLYGONAL INTERVALS AND UNKNOTS IN 3-SPACE
• Thicknesses of knots
• Global curvature, thickness, and the ideal shapes of knots
• QUADRISECANTS OF KNOTS AND LINKS
• ENERGY FUNCTIONS FOR POLYGONAL KNOTS
• In Search of a Good Polygonal Knot Energy
• Knot Energies by Ropes
• GEOMETRIC KNOT SPACES AND POLYGONAL ISOTOPY
• APPROXIMATING SMOOTH THICKNESS
• On the computational complexity of the Jones and Tutte polynomials
• Looking at bent wires – -codimension and the vanishing topology of parametrized curve singularities
• Equation of State Calculations by Fast Computing Machines
• Geometry and physics of knots
• POLYGONAL APPROXIMATION AND ENERGY OF SMOOTH KNOTS
• Eine freie Abbildung der n‐dimensionalen Sphäre in die Ebene
• The embedding space of hexagonal knots

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