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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 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 striped bow tie. The bow tie or dicky bow [1] / b oʊ / is a type of necktie. A modern bow tie is tied using a common shoelace knot, which is also called the bow knot for that reason. It consists of a ribbon of fabric tied around the collar of a shirt in a symmetrical manner so that the two opposite ends form loops.
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.
Once, the necktie—henceforth referred to as just a “tie”—was an everyday essential. Men wore ties to work under blue collars and white ones. They wore them to bars, to dinner, on movie ...
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).