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Physical knots : knotting, linking, and folding geometric objects in R³ : AMS Special Session on Physical Knotting and Unknotting, Las Vegas, Nevada, April 21-22, 2001 / Jorge Alberto Calvo, Kenneth C. Millett, Eric J. Rawdon, editors.

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Format:
Book
Conference/Event
Contributor:
Calvo, Jorge Alberto, 1971- editor.
Millett, Kenneth C., editor.
Rawdon, Eric J., 1970- editor.
Conference Name:
AMS Special Session on Physical Knotting and Unknotting (2001 : Las Vegas, Nev.), issuing body.
Series:
Contemporary mathematics, 0271-4132 . 304.
Contemporary mathematics, 304 0271-4132
Language:
English
Subjects (All):
Knot theory--Congresses.
Knot theory.
Physical Description:
1 online resource (356 p.)
Edition:
1st ed.
Place of Publication:
Providence, Rhode Island : American Mathematical Society, [2002]
Language Note:
English
Contents:
Contents
Preface
Physical knots
The space of piecewise-linear knots
Characterizing polygons in R3
Upper bounds for equilateral stick numbers
An investigation of equilateral knot spaces and ideal physical knot configurations
Topological effects on the average size of random knots
Bringing an order into random knots
The probability of knotting in lattice polygons
Knotting in adsorbing lattice polygons
In search of the ideal trefoil knot
The crossing numbers of thick knots and links
On thickness and packing density for knots and links
Approximating ropelength by energy functions
Conformal geometric viewpoints for knots and links I
Curves, circles, and spheres
The rupture of knotted strings under tension
Classifying and applying rational knots and rational tangles
Untangling some spheres in R4 by energy minimizing flow
Convexifying polygons in 3D: A survey
Infinitesimally locked self-touching linkages with applications to locked trees
Biologic.
Notes:
Description based upon print version of record.
Includes bibliographical references.
Description based on print version record.
ISBN:
0-8218-7894-8
0-8218-3200-X

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