Physical knots : knotting, linking, and folding geometric objects in Rp3s : AMS Special Session on Physical Knotting and Unknotting, Las Vegas, Nevada, April 21-22, 2001 / [electronic resource]
Jorge Alberto Calvo, Kenneth C. Millett, Eric J. Rawdon, editors.
- Providence, R.I. : American Mathematical Society, c2002.
- 1 online resource (xi, 340 p. : ill. (some col.))
- Contemporary mathematics, v. 304 0271-4132 (print); 1098-3627 (online); .
- Contemporary mathematics (American Mathematical Society) ; v. 304. .
Includes bibliographical references.
Physical knots / The space of piecewise-linear knots / Characterizing polygons in $\Bbb R^3$ / 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 $\mathbf ^4$ by energy minimizing flow / Convexifying polygons in 3D: a survey / Infinitesimally locked self-touching linkages with applications to locked trees / Biologic / Jonathan Simon -- Richard Randell -- Jorge Alberto Calvo -- Eric J. Rawdon and Robert G. Scharein -- Kenneth C. Millett -- Tetsuo Deguchi and Miyuki K. Shimamura -- Akos Dobay, Pierre-Edouard Sottas, Jacques Dubochet and Andrzej Stasiak -- E. J. Janse van Rensburg -- E. J. Janse van Rensburg -- Piotr Pieranski and Sylwester Przybyl -- Yuanan Diao and Claus Ernst -- Rob Kusner -- John M. Sullivan -- R. Langevin and J. O'Hara -- O. Gonzalez, J. H. Maddocks and J. Smutny -- Giovanni Dietler, Piotr Pieranski, Sandor Kasas and Andrzej Stasiak -- Louis H. Kauffman and Sofia Lambropoulou -- Dennis Roseman -- Michael Soss and Godfried T. Toussaint -- Robert Connelly, Erik D. Demaine and G�unter Rote -- Louis H. Kauffman -- http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05181 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05182 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05183 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05184 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05185 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05186 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05187 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05188 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05189 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05190 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05191 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05192 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05193 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05194 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05195 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05196 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05197 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05198 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05199 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05200 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05201
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821878941 (online)
Knot theory--Congresses.
QA612.2 / .A47 2001
514/.224
Includes bibliographical references.
Physical knots / The space of piecewise-linear knots / Characterizing polygons in $\Bbb R^3$ / 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 $\mathbf ^4$ by energy minimizing flow / Convexifying polygons in 3D: a survey / Infinitesimally locked self-touching linkages with applications to locked trees / Biologic / Jonathan Simon -- Richard Randell -- Jorge Alberto Calvo -- Eric J. Rawdon and Robert G. Scharein -- Kenneth C. Millett -- Tetsuo Deguchi and Miyuki K. Shimamura -- Akos Dobay, Pierre-Edouard Sottas, Jacques Dubochet and Andrzej Stasiak -- E. J. Janse van Rensburg -- E. J. Janse van Rensburg -- Piotr Pieranski and Sylwester Przybyl -- Yuanan Diao and Claus Ernst -- Rob Kusner -- John M. Sullivan -- R. Langevin and J. O'Hara -- O. Gonzalez, J. H. Maddocks and J. Smutny -- Giovanni Dietler, Piotr Pieranski, Sandor Kasas and Andrzej Stasiak -- Louis H. Kauffman and Sofia Lambropoulou -- Dennis Roseman -- Michael Soss and Godfried T. Toussaint -- Robert Connelly, Erik D. Demaine and G�unter Rote -- Louis H. Kauffman -- http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05181 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05182 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05183 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05184 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05185 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05186 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05187 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05188 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05189 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05190 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05191 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05192 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05193 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05194 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05195 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05196 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05197 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05198 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05199 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05200 http://www.ams.org/conm/304/ http://dx.doi.org/10.1090/conm/304/05201
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821878941 (online)
Knot theory--Congresses.
QA612.2 / .A47 2001
514/.224