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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 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 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).
A necktie with a tie clasp. A necktie, or simply a tie, is a piece of cloth worn for decorative purposes around the neck, resting under the shirt collar and knotted at the throat, and often draped down the chest. Variants include the ascot, bow, bolo, zipper tie, cravat, and knit. The modern necktie, ascot, and bow tie are descended from the ...
Grantchester knot – a method of tying a necktie; Granny knot – secures a rope or line around an object; Grief knot – (what knot) combines features of granny knot and thief knot; Gripping sailor's hitch – used to tie one rope to another, or a rope to a pole, when the pull is lengthwise along the object; Ground-line hitch – attaches a ...
The Grantchester knot is a self-releasing, asymmetric way of tying a necktie. Using the notation presented in The 85 Ways to Tie a Tie, it is a Lo Ri Lo Ri Co Li, finishing with Ro Li Co T. Grantchester knot instructions
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