AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Physical Knots: Knotting, Linking, and Folding Geometric Objects in $\mathbb{R}^{3}$
About this Title
Jorge Alberto Calvo, Kenneth C. Millett and Eric J. Rawdon, Editors
Publication: Contemporary Mathematics
Publication Year:
2002; Volume 304
ISBNs: 978-0-8218-3200-4 (print); 978-0-8218-7894-1 (online)
DOI: https://doi.org/10.1090/conm/304
MathSciNet review: 1953007
ReadershipTable of Contents
Download chapters as PDF
Front/Back Matter
Articles
- Jonathan Simon – Physical knots [MR 1953008]
- Richard Randell – The space of piecewise-linear knots [MR 1953009]
- Jorge Alberto Calvo – Characterizing polygons in $\Bbb R^3$ [MR 1953010]
- Eric J. Rawdon and Robert G. Scharein – Upper bounds for equilateral stick numbers [MR 1953011]
- Kenneth C. Millett – An investigation of equilateral knot spaces and ideal physical knot configurations [MR 1953012]
- Tetsuo Deguchi and Miyuki K. Shimamura – Topological effects on the average size of random knots [MR 1953333]
- Akos Dobay, Pierre-Edouard Sottas, Jacques Dubochet and Andrzej Stasiak – Bringing an order into random knots [MR 1953334]
- E. J. Janse van Rensburg – The probability of knotting in lattice polygons [MR 1953335]
- E. J. Janse van Rensburg – Knotting in adsorbing lattice polygons [MR 1953336]
- Piotr Pieranski and Sylwester Przybyl – In search of the ideal trefoil knot [MR 1953337]
- Yuanan Diao and Claus Ernst – The crossing numbers of thick knots and links [MR 1953338]
- Rob Kusner – On thickness and packing density for knots and links [MR 1953339]
- John M. Sullivan – Approximating ropelength by energy functions [MR 1953340]
- R. Langevin and J. O’Hara – Conformal geometric viewpoints for knots and links. I [MR 1953341]
- O. Gonzalez, J. H. Maddocks and J. Smutny – Curves, circles, and spheres [MR 1953342]
- Giovanni Dietler, Piotr Pieranski, Sandor Kasas and Andrzej Stasiak – The rupture of knotted strings under tension [MR 1953343]
- Louis H. Kauffman and Sofia Lambropoulou – Classifying and applying rational knots and rational tangles [MR 1953344]
- Dennis Roseman – Untangling some spheres in $\mathbf {R}^4$ by energy minimizing flow [MR 1953345]
- Michael Soss and Godfried T. Toussaint – Convexifying polygons in 3D: a survey [MR 1953346]
- Robert Connelly, Erik D. Demaine and Günter Rote – Infinitesimally locked self-touching linkages with applications to locked trees [MR 1953347]
- Louis H. Kauffman – Biologic [MR 1953348]