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The discovery of all possible ways to tie a tie depends on a mathematical formulation of the act of tying a tie. In their papers (which are technical) and book (which is for a lay audience, apart from an appendix), the authors show that necktie knots are equivalent to persistent random walks on a triangular lattice, with some constraints on how the walks begin and end.
The Ashley Book of Knots is an encyclopedia of knots written and illustrated by the American sailor and artist Clifford W. Ashley. First published in 1944, it was the culmination of over 11 years of work. The book contains 3,857 numbered entries and approximately 7,000 illustrations. [1]
The Knot Bible: The Complete Guide to Knots and Their Uses, page 143. A & C Black. ISBN 9781408155875. Budworth, Geoffrey (2012). The Knot Book Hachette UK. ISBN 9780716023159. Finazzo, Scott (2016). Prepper's Guide to Knots: The 100 Most Useful Tying Techniques for Surviving any Disaster, page 117, Ulysses Press. ISBN 9781612436302.
Ashley's bend is a knot used to securely join the ends of two ropes together. It is similar to several related bend knots which consist of two interlocking overhand knots, and in particular the alpine butterfly bend. [1] These related bends differ by the way the two constituent overhand knots are interlocked.
A knot is a method for fastening or securing linear material such as rope by tying or interweaving. Due to England 's strong naval tradition, the English language has a large technical vocabulary for describing knots.
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Many methods have been devised to tie the fiador knot, [7] including fixtures used to hold the parts in shape while tying. [4] [8] More recent sources have shown a simpler method of forming the fiador knot using a flat precursor knot. [9] [10] [11] The following images show a method for tying the fiador knot:
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