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Examples of different knots including the trivial knot (top left) and the trefoil knot (below it) A knot diagram of the trefoil knot, the simplest non-trivial knot. In topology, knot theory is the study of mathematical knots.
While some people can look at diagrams or photos and tie the illustrated knots, others learn best by watching how a knot is tied. Knot tying skills are often transmitted by sailors, scouts, climbers, canyoners, cavers, arborists, rescue professionals, stagehands, fishermen, linemen and surgeons. The International Guild of Knot Tyers is an ...
The reef knot can capsize if one of its standing ends is pulled.. A knot that has capsized or spilled has deformed into a different structure. Although capsizing is sometimes the result of incorrect tying or misuse, it can also be done purposefully in certain cases to strengthen the knot (see the carrick bend [4]) or to untie a seized knot which would otherwise be difficult to release (see ...
A polygonal knot is a knot whose image in R 3 is the union of a finite set of line segments. [6] A tame knot is any knot equivalent to a polygonal knot. [6] [Note 2] Knots which are not tame are called wild, [7] and can have pathological behavior. [7] In knot theory and 3-manifold theory, often the adjective "tame" is omitted. Smooth knots, for ...
In topology and knot theory, the trefoil is usually defined using a knot diagram instead of an explicit parametric equation. In algebraic geometry , the trefoil can also be obtained as the intersection in C 2 of the unit 3-sphere S 3 with the complex plane curve of zeroes of the complex polynomial z 2 + w 3 (a cuspidal cubic ).
Here's how to tie a shirt knot in 10 different ways. We have all the steps to make side, front, double, pretzel, and ruffled knots. One includes a bow!
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 ...
When creating graphical depictions of knots, tying methods, or usage examples, it is important to avoid potential visual ambiguities. Make sure that all crossings of the knot can clearly be seen in the graphics, in some cases this will mean spreading the knot out artificially when making the image or diagram.