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The classic hangman's knot was largely developed in the United States. Filmed hangings of war criminals in Europe after World War II, conducted under US jurisdiction, show such knots placed in various locations. Steps for tying a hangman's knot. Each additional coil adds friction to the knot, which makes the noose harder to pull closed or open.
The Windsor knot, sometimes referred to as a full Windsor (or misleadingly as a double Windsor) to distinguish it from the half-Windsor, is a knot used to tie a necktie.As with other common necktie knots, the Windsor knot is triangular, and the wide end of the tie drapes in front of the narrow end.
The loop may pass around or through an object during the making of the knot. The knot tightens when loaded at (pulled by) the standing part of the line. The bowline is commonly used in sailing small craft, for example to fasten a halyard to the head of a sail or to tie a jib sheet to a clew of a jib. The bowline is well known as a rescue knot ...
The reef knot, or square knot, is an ancient and simple binding knot used to secure a rope or line around an object. It is sometimes also referred to as a Hercules knot or Heracles knot . The knot is formed by tying a left-handed overhand knot between two ends, instead of around one end, and then a right-handed overhand knot via the same ...
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
The four-in-hand knot is a method of tying a necktie.Some reports state that carriage drivers tied their reins with a four-in-hand knot, while others claim that the carriage drivers wore their scarves in the manner of a four-in-hand, but the most likely etymology is that members of the Four-in-Hand Club in London began to wear the neckwear, making it fashionable.
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.
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.