Includes bibliographical references.

Physical knots / Jonathan Simon -- The space of piecewise-linear knots / Richard Randell -- Characterizing polygons in $\Bbb R^3$ / Jorge Alberto Calvo -- Upper bounds for equilateral stick numbers / Eric J. Rawdon and Robert G. Scharein -- An investigation of equilateral knot spaces and ideal physical knot configurations / Kenneth C. Millett -- Topological effects on the average size of random knots / Tetsuo Deguchi and Miyuki K. Shimamura -- Bringing an order into random knots / Akos Dobay, Pierre-Edouard Sottas, Jacques Dubochet and Andrzej Stasiak -- The probability of knotting in lattice polygons / E. J. Janse van Rensburg -- Knotting in adsorbing lattice polygons / E. J. Janse van Rensburg -- In search of the ideal trefoil knot / Piotr Pieranski and Sylwester Przybyl -- The crossing numbers of thick knots and links / Yuanan Diao and Claus Ernst -- On thickness and packing density for knots and links / Rob Kusner -- Approximating ropelength by energy functions / John M. Sullivan -- Conformal geometric viewpoints for knots and links. I / R. Langevin and J. O'Hara -- Curves, circles, and spheres / O. Gonzalez, J. H. Maddocks and J. Smutny -- The rupture of knotted strings under tension / Giovanni Dietler, Piotr Pieranski, Sandor Kasas and Andrzej Stasiak -- Classifying and applying rational knots and rational tangles / Louis H. Kauffman and Sofia Lambropoulou -- Untangling some spheres in $\mathbf {R}^4$ by energy minimizing flow / Dennis Roseman -- Convexifying polygons in 3D: a survey / Michael Soss and Godfried T. Toussaint -- Infinitesimally locked self-touching linkages with applications to locked trees / Robert Connelly, Erik D. Demaine and G�unter Rote -- Biologic / Louis H. Kauffman --

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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