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Table of Contents
Introduction
Some basic facts of knot theory
Thicknesses of knots
Ropelengths of knots
Smooth knots vs knots on the cubic lattice
Global lower bound on ropelength of knots
General lower bounds on ropelength of knots
General upper bounds on ropelength of knots
Ropelength upper bounds for special classes of knots
The spectrum of powers realizable by thick knots
Total curvature of thick knots
The linking number of a thick link with two or more components
Some open questions.
Some basic facts of knot theory
Thicknesses of knots
Ropelengths of knots
Smooth knots vs knots on the cubic lattice
Global lower bound on ropelength of knots
General lower bounds on ropelength of knots
General upper bounds on ropelength of knots
Ropelength upper bounds for special classes of knots
The spectrum of powers realizable by thick knots
Total curvature of thick knots
The linking number of a thick link with two or more components
Some open questions.