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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 tied by placing the tie around the neck and crossing the broad end of the tie in front of the narrow end. The broad end is folded behind the narrow end and brought forward on the opposite side, passed across the front horizontally, folded behind the narrow end again, brought over the top of the knot from behind, tucked behind the horizontal pass, and the knot pulled snug.
The packer's knot is a binding knot which is easily pulled taut and quickly locked in position. It is most often made in small line or string, such as that used for hand baling, parcel tying, and binding roasts.
A blue Pratt knot. The Pratt knot is a method of tying a necktie.It is also known as the Shelby knot. [1] [2] [3] The knot was created by Jerry Pratt, an employee of the US Chamber of Commerce in the late 1950s. [4]
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There are a number of ways to tie the Overhand knot. Thumb method – create a loop and push the working end through the loop with your thumb. Overhand method – create a bight, by twisting the hand over at the wrist and sticking your hand in the hole, pinch the working end with your fingers and pull through the loop.
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