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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.
A small knot. The small knot, also known as oriental knot, Kent knot, or simple knot, is the simplest method of tying a necktie. Unlike the Four-in-hand knot and Windsor knot, the small knot is not self-releasing. The small knot is tied inside out, though this can be mitigated by giving the tie a half-twist during the tying process.
Diagram of how to tie the hitching tie knot. The hitching tie is a simple knot used to tie off stuff sacks that allows quick access as it unties quickly. [1] [2] To untie the knot, just pull hard on the free end of the rope and the knot will fall open. This is simply a noose or slip knot, with the loop tightened around an object.
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Weaver at Queen Street Mill demonstrating a weaver's knot Steps in tying a weaver's knot. The sheet bend may be tied by various methods: the basic "rabbit through the hole" method of forming a half hitch in the bight of the larger rope, by a more expedient method shown in Ashley as ABoK #1431 (similar to the method used by an experienced sailor or mountaineer to tie a bowline) or by a trick ...
Hitching tie – simple knot used to tie off drawstring bags that allows quick access; Honda knot a.k.a. lariat loop – loop knot commonly used in a lasso; Hoxton knot – a method of arranging a scarf about the neck; Hunter's bend a.k.a. rigger's bend – joins two lines
There is a potential with beginners to wrongly tie the bowline. This faulty knot stems from an incorrect first step while tying the rabbit hole. If the loop is made backwards so that the working end of the rope is on the bottom, the resulting knot will be the Eskimo bowline , looking like a sideways bowline, which is also a stable knot.
The Pratt knot uses less length than the half-Windsor or Windsor knots, and so is well suited to shorter ties or taller men. Unlike the four-in-hand knot, the Pratt method produces a symmetrical knot. It is of medium thickness. Using notation from and according to The 85 Ways to Tie a Tie, the knot is tied Lo Ci Lo Ri Co T (knot 5).