Overview

A bend is a knot securely joining together two lengths of cord (or string or rope), thereby yielding a single longer length. There are many possible different bends, and a natural question that has probably occurred to many is: is there a ""best"" bend and, if so, what is it?"" Most of the well-known bends happen to be symmetric - that is, the two constituent cords within the bend have the same geometric shape and size, as well as an interrelationship. Such ""symmetric bends"" have great beauty, especially when the two cords bear different colours. Moreover, they have the practical advantage of being easier to tie (with less chance of error), and of probably being stronger, since neither end is the weaker. This book presents a mathematical theory of symmetric bends, together with a simple explanation of how such bends may be invented. Also discussed are the additionally symmetric ""triply symmetric"" bends. Full details, including colour pictures, are given of the ""best 60"" known symmetric bends, many of which were created by those methods of invention. This work will appeal to many - mathematicians as well as non-mathematicians interested in beautiful and useful knots.

Full Product Details

Author:   Roger E Miles (Australian Nat'l Univ, Australia)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   8
Dimensions:   Width: 15.80cm , Height: 1.70cm , Length: 22.00cm
Weight:   0.440kg
ISBN:  

9789810221942

ISBN 10:   9810221940
Pages:   180
Publication Date:   01 October 1995
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Sufficiency - the elementary symmetric bends; necessity - geometry and planar representations; topological considerations and a key theorem; practical considerations and triple symmetry; sixty symmetric bends; miscellany; how to invent symmetric bends.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions