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The mathematics. 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.
Follow our step-by-step instructions to make a tie blanket. It's an easy, no-sew craft for kids and adults to DIY using two pieces of fleece tied together.
Packer's knot. 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. This latter use, and its general form, make it a member of a class of similar knots known as butcher's knots.
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 Windsor is a wider knot than most common ...
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A constrictor knot prepared for tightening using two metal rods and marlinespike hitches. The constrictor knot is appropriate for situations where secure temporary or semi-permanent binding is needed. Made with small-stuff it is especially effective, as the binding force is concentrated over a smaller area.