1.

Record Nr.

UNINA9910480853803321

Titolo

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

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2002]

©2002

ISBN

0-8218-7894-8

0-8218-3200-X

Descrizione fisica

1 online resource (356 p.)

Collana

Contemporary mathematics ; ; 304

Disciplina

514/.224

Soggetti

Knot theory

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""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""