POLYGONAL KNOT SPACE NEAR ROPELENGTH-MINIMIZED KNOTS

DOI10.1142/S0218216508006282zbMath1152.57005arXivmath/0508293OpenAlexW2153070207MaRDI QIDQ3519946

Michael Piatek, Kenneth C. Millett, Eric J. Rawdon

Publication date: 19 August 2008

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508293

zbMATH Keywords

perturbationpolygonal knotsropelengthlocal knotssatellite knotsthick knotsequilateral knots

Mathematics Subject Classification ID

Related Items (7)

Following knots down their energy gradients ⋮ TANGENT-POINT SELF-AVOIDANCE ENERGIES FOR CURVES ⋮ An ergodic algorithm for generating knots with a prescribed injectivity radius ⋮ Discrete thickness ⋮ Discrete thickness ⋮ KNOTS, SLIPKNOTS, AND EPHEMERAL KNOTS IN RANDOM WALKS AND EQUILATERAL POLYGONS ⋮ The generation of random equilateral polygons

Uses Software

• KnotPlot

Cites Work

• Criticality for the Gehring link problem
• Family of energy functionals of knots
• Thickness of knots
• A simple energy function for knots
• On the minimum ropelength of knots and links
• Local structure of ideal shapes of knots
• On the topology of a polymer ring
• Global curvature, thickness, and the ideal shapes of knots
• KNOTTING OF REGULAR POLYGONS IN 3-SPACE
• Topology of Closed Random Polygons
• GEOMETRIC KNOT SPACES AND POLYGONAL ISOTOPY
• APPROXIMATING SMOOTH THICKNESS
• Non‐recursive functions, knots “with thick ropes,” and self‐clenching “thick” hyperspheres
• Can Computers Discover Ideal Knots?

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