Symmetric Bends: How to Join Two Lengths of Cord. Series on Knots and Everything, Volume 8. Roger E. Miles

ISBN: 9781281955906

Published: January 10th 2010

ebook

163 pages


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Symmetric Bends: How to Join Two Lengths of Cord. Series on Knots and Everything, Volume 8.  by  Roger E. Miles

Symmetric Bends: How to Join Two Lengths of Cord. Series on Knots and Everything, Volume 8. by Roger E. Miles
January 10th 2010 | ebook | PDF, EPUB, FB2, DjVu, audiobook, mp3, RTF | 163 pages | ISBN: 9781281955906 | 8.26 Mb

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 bendMoreA 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.



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