History and science of knots pdf

8.92  ·  5,477 ratings  ·  411 reviews
Posted on by
history and science of knots pdf

Thomas Fink's Homepage

The book grew out of two journal articles by myself and Yong Mao, in which we introduced a mathematical respresentation of tie knots and proved that, with a conventional necktie, there are exactly 85 possible ways to tie it. Of these, just over a dozen are sufficiently handsome or different from each other to be worn. These include the four traditional knots - the four-in-hand, the Nicky a derivative of the Pratt knot , the half-Windsor and the Windsor - and a number of previously unknown knots. Further details, reviews and sales can be found on and. Wikipedia has a page on the book here. Reviews The Guardian As I recline weekly in velvet smoking jacket and exquisite cravat to dictate The List to my oiled, submissive stenographer, it is often given to me to muse on the science and aesthetics of tie knots.
File Name: history and science of knots pdf.zip
Size: 76330 Kb
Published 21.01.2019

Best way to tie a bowline knot for sailing with troubleshooting & variations

HISTORY AND SCIENCE OF KNOTS SERIES ON KNOTS AND EVERYTHINGEditor-in-charge: Louis H. Kauffman Published: Vol. 1: Kn.

Thomas Fink

In topology , knot theory is the study of mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope, a mathematical knot differs in that the ends are joined together so that it cannot be undone, the simplest knot being a ring or "unknot". In mathematical language, a knot is an embedding of a circle in 3-dimensional Euclidean space , R 3 in topology, a circle isn't bound to the classical geometric concept, but to all of its homeomorphisms. Two mathematical knots are equivalent if one can be transformed into the other via a deformation of R 3 upon itself known as an ambient isotopy ; these transformations correspond to manipulations of a knotted string that do not involve cutting the string or passing the string through itself. Knots can be described in various ways.

The buntline hitch is a knot used for attaching a rope to an object. It is formed by looping the rope or other tying material around an object, then making a clove hitch around the rope's standing part , taking care to tie the two half-hitches that compose of the clove hitch in the direction of the object, rather than away from it. Secure and easily tied, the buntline hitch will jam when subjected to extreme loads. Given the knot's propensity to jam, it is often made in slipped form. Simple and effective, the buntline hitch dates to the age of sail, where it was used to secure buntlines to the foot of the sails [1] [2] [3] on square-rigged ships. That the buntline hitch was the preferred knot speaks to its security and reliability. It has gained in popularity in recent years due to its performance in slippery modern synthetic lines.

Site Index

Knot enthusiasts like to say that civilization is held together by knots. It sounds like a wisecrack — but if you take a look around, you may begin to see the truth behind the quip. You could start by scrutinizing your shoes. Glance in the mirror and you may find more knots: the one in your necktie, perhaps, or the one made by the elastic band that is wound around to hold your hair in place. Your hair itself might be plaited into a braid: another knot.

1 thoughts on “Knot theory - Wikipedia

  1. This content was uploaded by our users and we assume good faith they have the permission to share this book.

Leave a Reply