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Symmetric Bends: How to Join Two Lengths of Cord (K & E Series on Knots and Everything, Vol. 8) [Hardcover]

By Roger E. Miles (Author)
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Item description for Symmetric Bends: How to Join Two Lengths of Cord (K & E Series on Knots and Everything, Vol. 8) by Roger E. Miles...

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.



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Item Specifications...


Studio: World Scientific Publishing Company
Pages   163
Est. Packaging Dimensions:   Length: 8.4" Width: 6.1" Height: 0.6"
Weight:   1 lbs.
Binding  Hardcover
Publisher   World Scientific Publishing Company
ISBN  9810221940  
ISBN13  9789810221942  


Availability  0 units.


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1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Topology
2Books > Subjects > Professional & Technical > Professional Science > Physics > Gravity
3Books > Subjects > Science > General
4Books > Subjects > Science > Mathematics > General
5Books > Subjects > Science > Mathematics > Geometry & Topology > Topology
6Books > Subjects > Science > Mathematics > Pure Mathematics > Group Theory
7Books > Subjects > Science > Physics > General
8Books > Subjects > Science > Physics > Gravity



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