Ideal Knots

Ideal Knots
Author: Andrzej Stasiak
Publisher: World Scientific
Total Pages: 426
Release: 1998
Genre: Mathematics
ISBN: 9810235305

In this book, experts in different fields of mathematics, physics, chemistry and biology present unique forms of knots which satisfy certain preassigned criteria relevant to a given field. They discuss the shapes of knotted magnetic flux lines, the forms of knotted arrangements of bistable chemical systems, the trajectories of knotted solitons, and the shapes of knots which can be tied using the shortest piece of elastic rope with a constant diameter.

Ideal Knots

Ideal Knots
Author: A. Stasiak
Publisher: World Scientific
Total Pages: 426
Release: 1998
Genre: Crafts & Hobbies
ISBN: 981279607X

In this book, experts in different fields of mathematics, physics, chemistry and biology present unique forms of knots which satisfy certain preassigned criteria relevant to a given field. They discuss the shapes of knotted magnetic flux lines, the forms of knotted arrangements of bistable chemical systems, the trajectories of knotted solitons, and the shapes of knots which can be tied using the shortest piece of elastic rope with a constant diameter.

The Outdoor Knots Book

The Outdoor Knots Book
Author: Clyde Soles
Publisher: The Mountaineers Books
Total Pages: 164
Release: 2004-03-16
Genre: Sports & Recreation
ISBN: 1594852162

CLICK HERE TO DOWNLOAD A KNOT SAMPLER FROM THE CHAPTER ON "KNOTS FOR HIKING & CAMPING" (Provide us with a little information and we'll send your download directly to your inbox) * Guidelines for selecting the best rope and the best knot for the activity at hand * Knot-tying directions clearly illustrated with photos * New entry in the Mountaineers Outdoor Basics series It's fair to say that climber Clyde Soles is obsessed with ropes and knots and their absolute performance-since he regularly entrusts his life to ropes on sheer rock faces. His unique book explains how to select and use ropes, cordage, and webbing for the outdoors. Invaluable information is provided on rope handling techniques (how to avoid dreaded tangles) and the best methods for rope care and maintenance. Step-by-step directions for tying over 40 knots are clearly illustrated with photographs. Other useful features include a glossary and a knot comparison chart by activity. Chapters include Knots Basics (from Tripod Lashing to the Figure 8 Loop), Knots for Hikers and Climbers (from the Prusik knot to the Autoblock), Knots for Canoeists and Kayakers (from the Buntline hitch to the Bowline on a bight), and more. This is the definitive text on ropes and knots for anyone who plays in the outdoors!

The Book of Sailing Knots

The Book of Sailing Knots
Author: Peter Owen
Publisher: Rowman & Littlefield
Total Pages: 145
Release: 2023-05-01
Genre: Sports & Recreation
ISBN: 1493078666

In recent years, sailing has undergone some revolutionary changes: Satellites and autopilots are now used for navigation. Artificial-fiber and wire ropes have nearly replaced natural-fiber ropes. But when it comes to decorative knotting, natural fiber is still the favored choice. This book is tops when it comes to learning how to master tying the most common sailing knots. With fully illustrated and step-by-step instructions, the author explains how to correctly tie and use more than fifty knots—including stopper knots, bends, loops, and hitches—and in which situations each one is most useful.

Physical Knots: Knotting, Linking, and Folding Geometric Objects in $\mathbb {R}^3$

Physical Knots: Knotting, Linking, and Folding Geometric Objects in $\mathbb {R}^3$
Author: Jorge Alberto Calvo
Publisher: American Mathematical Soc.
Total Pages: 356
Release: 2002
Genre: Mathematics
ISBN: 082183200X

The properties of knotted and linked configurations in space have long been of interest to physicists and mathematicians. More recently and more widely, they have become important to biologists, chemists, computer scientists, and engineers. The depth and breadth of their applications are widely appreciated. Nevertheless, fundamental and challenging questions remain to be answered. Based on a Special Session at the AMS Sectional Meeting in Las Vegas (NV) in April 2001, this volumediscusses critical questions and introduces new ideas that will stimulate multi-disciplinary applications. Some of the papers are primarily theoretical; others are experimental. Some are purely mathematical; others deal with applications of mathematics to theoretical computer science, engineering,physics, biology, or chemistry. Connections are made between classical knot theory and the physical world of macromolecules, such as DNA, geometric linkages, rope, and even cooked spaghetti. This book introduces the world of physical knot theory in all its manifestations and points the way for new research. It is suitable for a diverse audience of mathematicians, computer scientists, engineers, biologists, chemists, and physicists.

The Book of Knots

The Book of Knots
Author: Geoffrey Budworth
Publisher: Ivy Press
Total Pages: 178
Release: 2021-07-13
Genre: Crafts & Hobbies
ISBN: 0711257426

The fundamental skill of tying knots is useful in countless situations, both indoors and out. The Book of Knots teaches you which knot to choose and exactly how to tie it, whether you’re constructing a trout fly, repairing a hammock, mooring a boat, securing a load to a car roof rack, or engaging in a rescue or survival situation. This invaluable manual explains through clear line diagrams and step-by-step descriptions how to tie more than 125 practical knots.

Physical and Numerical Models in Knot Theory

Physical and Numerical Models in Knot Theory
Author: Jorge Alberto Calvo
Publisher: World Scientific
Total Pages: 640
Release: 2005
Genre: Mathematics
ISBN: 9812561870

The physical properties of knotted and linked configurations in space have long been of interest to mathematicians. More recently, these properties have become significant to biologists, physicists, and engineers among others. Their depth of importance and breadth of application are now widely appreciated and valuable progress continues to be made each year.This volume presents several contributions from researchers using computers to study problems that would otherwise be intractable. While computations have long been used to analyze problems, formulate conjectures, and search for special structures in knot theory, increased computational power has made them a staple in many facets of the field. The volume also includes contributions concentrating on models researchers use to understand knotting, linking, and entanglement in physical and biological systems. Topics include properties of knot invariants, knot tabulation, studies of hyperbolic structures, knot energies, the exploration of spaces of knots, knotted umbilical cords, studies of knots in DNA and proteins, and the structure of tight knots. Together, the chapters explore four major themes: physical knot theory, knot theory in the life sciences, computational knot theory, and geometric knot theory.

Knots in Hellas '98 - Proceedings of the International Conference on Knot Theory and Its Ramifications

Knots in Hellas '98 - Proceedings of the International Conference on Knot Theory and Its Ramifications
Author: V. F. R. Jones
Publisher: World Scientific
Total Pages: 588
Release: 2000
Genre: Mathematics
ISBN: 9789812792679

There have been exciting developments in the area of knot theory in recent years. They include Thurston's work on geometric structures on 3-manifolds (e.g. knot complements), Gordon–Luecke work on surgeries on knots, Jones' work on invariants of links in S3, and advances in the theory of invariants of 3-manifolds based on Jones- and Vassiliev-type invariants of links. Jones ideas and Thurston's idea are connected by the following path: hyperbolic structures, PSL(2, C) representations, character varieties, quantization of the coordinate ring of the variety to skein modules (i.e. Kauffman, bracket skein module), and finally quantum invariants of 3-manifolds. This proceedings volume covers all those exciting topics.

The Ultimate Book of Everyday Knots

The Ultimate Book of Everyday Knots
Author: Geoffrey Budworth
Publisher: Simon and Schuster
Total Pages: 160
Release: 2021-08-03
Genre: Sports & Recreation
ISBN: 1510768165

From the co-founder of the International Guide of Knot Tyers, comes an oversize, easy-to follow guide perfect for sailers, campers, fishermen, climbers, and everyone else who might want or need to tie a solid, useful knot This beautifully illustrated, full-color guide unties the mysteries of more than eighty knots. Using clear photographs and diagrams, as well as straightforward, easy-to-follow instructions, any reader can master knots for fishing, boating, climbing, crafts, and household uses. Climbers will feel safer knowing they have tied the perfect Water or Tape knot. Home decorators will enjoy trying their hand at the beautiful and elaborate Chinese Cloverleaf. Fishermen will fight big fish with more confidence. Filled with fascinating knot lore, The Ultimate Book of Everyday Knots is perfect for anyone wishing to learn advanced knotting techniques for any purpose at all. Featuring illustrations throughout, sections include: Overhand knots Figure of eight knots Bowlines and sheet bends Crossing knots And other useful knots Whether for practical use or just for fun, this is a great place to start knotting—so grab a piece of rope, sit back, and enjoy!

Knots

Knots
Author: DK
Publisher: Penguin
Total Pages: 400
Release: 2021-01-05
Genre: Sports & Recreation
ISBN: 0744040930

The ultimate visual guide to all types of knots. Avoid getting yourself into a tangle by following detailed step-by-step instructions that show you how to tie and untie more than 100 knots. Whichever knotty scenario you find yourself in, from in your own garden, to up in the mountains or across seas, this reference book will take you from novice to expert rope tier. Covering more than 100 knots for climbing, sailing, horse-riding, survival camping, and fishing as well as for gardening, DIY, medical, and even decorative purposes. The photographs of every step use strands of rope in different colors - so you can clearly see how to tie each knot. You’ll learn all about the fascinating stories behind how many of these knots were first tied as well as their original functions in this knot tying book. Each knot has simple to follow instructions on the features and benefits and what they can be used for. Includes knots such as figure-of-eights, reef knots, highwayman’s hitches, and monkey’s fists. Find out about techniques like sheer lashing and the constrictor knot. The book begins by teaching you all about rope materials and construction and how to maintain them. At the end of the book the glossary and index so you can easily find just the knot you’re in need of. There are more‌ ‌than‌ ‌1,000‌ ‌photographs,‌ ‌illustrations,‌ ‌and‌ ‌artworks‌. Expert author Des Pawson is a founding member of the International Guild of Knot Tyers. One-Stop Practical Guide to Tying and Using Knots Knots: The Complete Visual Guide is arranged by chapters covering Stopper Knots, Binding Knots, Bends, Hitches, Loops, Plaits & Sennits, and Splices & Whippings. It also includes detailed instructions for over 100 knots and fantastic beginner guides to help boy scouts, girl scouts, first-time climbers and everything in between become experienced campers, sailors, and mountaineers. Inside this visual guide, you’ll find: • Accessible text and tables that explain the features and benefits of each knot • Sequence spreads display the top five knots you need for a range of purposes, from sailing and fishing to gardening and gift-wrapping • Fun facts about the oldest knots and their history • Essential information on how to choose the best rope to use and how to maintain them More from DK Books: Don’t miss out on more fascinating visual reference books! Look for The Complete Sailing Manual, How to Garden, and The Survival Handbook from DK Books to build on your new-found knot skills.