Knotwork
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Knotwork
A knot is an intentional complication in cordage which may be practical or decorative, or both. Practical knots are classified by function, including hitches, bends, loop knots, and splices: a ''hitch'' fastens a rope to another object; a ''bend'' fastens two ends of a rope to each another; a ''loop knot'' is any knot creating a loop; and ''splice'' denotes any multi-strand knot, including bends and loops. A knot may also refer, in the strictest sense, to a stopper or knob at the end of a rope to keep that end from slipping through a grommet or eye. Knots have excited interest since ancient times for their practical uses, as well as their topological intricacy, studied in the area of mathematics known as knot theory. History Knots and knotting have been used and studied throughout history. For example, Chinese knotting is a decorative handicraft art that began as a form of Chinese folk art in the Tang and Song Dynasty (960–1279 AD) in China, later popularized in t ...
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Chinese Knotting
Chinese knotting, also known as () and decorative knots in non-Chinese cultures, is a decorative handcraft art that began as a form of Chinese folk art in the Tang dynasty, Tang and Song dynasty (960–1279 CE) in China. This form of craft originated and was derived from the () culture which already existed in China since the ancient times. As a form of art, it is also called Chinese traditional decorative knots. Chinese knotting was later popularized in the Ming dynasty, Ming and spread to Japan and Korea. There are many different shapes of Chinese knots, the most common being Butterfly, butterflies, Flower, flowers, Bird, birds, Chinese dragon, dragons, fish, and even shoes. Culturally they were expected to ward off evil spirits similar to bagua mirrors or act as good-luck charms for Chinese marriages. Around the times of the Chinese New Year, Chinese new year festival, Chinese knot decorations can be seen hanging on walls, doors of homes and as shop decorations to add some ...
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Knot Theory
In the mathematical field of topology, knot theory is the study of knot (mathematics), mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope, a mathematical knot differs in that the ends are joined so it cannot be undone, Unknot, the simplest knot being a ring (or "unknot"). In mathematical language, a knot is an embedding of a circle in 3-dimensional Euclidean space, \mathbb^3 (in topology, a circle is not bound to the classical geometric concept, but to all of its homeomorphisms). Two mathematical knots are equivalent if one can be transformed into the other via a deformation of \mathbb^3 upon itself (known as an ambient isotopy); these transformations correspond to manipulations of a knotted string that do not involve cutting it or passing through itself. Knots can be described in various ways. Using different description methods, there may be more than one description of the same knot. For example, a common method of descr ...
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Knot Theory
In the mathematical field of topology, knot theory is the study of knot (mathematics), mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope, a mathematical knot differs in that the ends are joined so it cannot be undone, Unknot, the simplest knot being a ring (or "unknot"). In mathematical language, a knot is an embedding of a circle in 3-dimensional Euclidean space, \mathbb^3 (in topology, a circle is not bound to the classical geometric concept, but to all of its homeomorphisms). Two mathematical knots are equivalent if one can be transformed into the other via a deformation of \mathbb^3 upon itself (known as an ambient isotopy); these transformations correspond to manipulations of a knotted string that do not involve cutting it or passing through itself. Knots can be described in various ways. Using different description methods, there may be more than one description of the same knot. For example, a common method of descr ...
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Bowline
The bowline ( or ) is an ancient and simple knot used to form a fixed loop at the end of a rope. It has the virtues of being both easy to tie and untie; most notably, it is easy to untie after being subjected to a load. The bowline is sometimes referred to as ''King of the knots'' because of its importance. Along with the sheet bend and the clove hitch, the bowline is often considered one of the most essential knots. The common bowline shares some structural similarity with the sheet bend. Virtually all end-to-end joining knots (i.e., bends) have a corresponding loop knot. Although the bowline is generally considered a reliable knot, its main deficiencies are a tendency to work loose when not under load (or under cyclic loading), to slip when pulled sideways, and the bight portion of the knot to capsize in certain circumstances. To address these shortcomings, a number of more secure variations of the bowline have been developed for use in safety-critical applications, or by s ...
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Overhand Loop
The overhand loop is a simple knot which forms a fixed loop in a rope. Made by tying an overhand knot in the bight, it can be tied anywhere along a rope (does not need any working end). The knot can be used for attaching clips, hooks, other rope, etc., but has the disadvantage that it is likely to jam tight when the rope has been pulled and the knot may need to be cut off. It also has some uses in kite-flying, though other knots may be better. It is commonly disapproved by the Boy Scouts because of its tendency to be misused as an alternative to the bowline The bowline ( or ) is an ancient and simple knot used to form a fixed loop at the end of a rope. It has the virtues of being both easy to tie and untie; most notably, it is easy to untie after being subjected to a load. The bowline is sometimes .... (Reference 1 also contains a sequence of images that show how to tie an overhand knot.) References Climbing knots {{knot-stub ...
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Overhand Knot
The overhand knot is one of the most fundamental knots, and it forms the basis of many others, including the simple noose, overhand loop, angler's loop, reef knot, fisherman's knot, Half hitch, and water knot. The overhand knot is a stopper, especially when used alone, and hence it is very secure, to the point of jamming badly. It should be used if the knot is intended to be permanent. It is often used to prevent the end of a rope from unraveling. An overhand knot becomes a trefoil knot, a true knot in the mathematical sense, by joining the ends. It can also be adjusted, faired, or mis-tied as a half hitch Tying 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. Heraldry In heraldry, the overhand knot ...
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One-sided Overhand Bend
The offset overhand bend (OOB, The Ashley Book of Knots, ABoK No. 1410) is a conceptually simple and easy to tie 'end-to-end joining knot' (ie bend). It is formed by holding two rope ends next to each other and tying an overhand knot in them as if they were a single line. Due to its common use in several fields, this List of bend knots, bend has become known by many names, such as thumb knot, openhand knot, one-sided overhand knot or flat overhand bend (FOB), though the terms "one-sided" and "flat" are considered incorrect. Geometry The term 'offset' refers to the knot core being displaced from the axis of tension. This geometry allows the knot to more easily translate around an edge - particularly a 90 degree edge. Uses Long used by Weaving, weavers to join the ends of yarn, the offset water knot is very old. It was one of the knots likely identified among the possessions of Ötzi the Iceman, who dates from 3300 BC. The knot is also tied in a slipped form by mechanical ba ...
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Kalmyk Loop
The Kalmyk Loop (russian: калмыцкий узел) is a fixed loop still largely unused in the West, but common in Russia and often used instead of the bowline. The knot is named after the Kalmyks, a nomad ethnicity in Russia. It is very quick to tie, it is secure, and it undoes quickly when pulling the free end. The knot is not mentioned in ''The Ashley Book of Knots'' but is found in its Russian equivalent, the book "Морские узлы" by Lev Skryagin. Without the slip, the knot is known as the Cossack knot or Eskimo bowline The Eskimo bowline, Cossack knot (russian: Казачий узел), reverse bowline, or 'anti- bowline' is in a class of knots known as 'eye knots' or 'loop knots'. The eye is formed in the end of the rope to permit attachments/connections. .... Sources *Скрягин Л. Н. Морские узлы — Москва, Транспорт, 1982 External links russian article with picturesKalmyk Loop (калмыцкий узел)Ca ...
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Half Hitch
The half hitch is a simple overhand knot, where the working end of a line is brought over and under the standing part. Insecure on its own, it is a valuable component of a wide variety of useful and reliable hitches, bends, and knots. Two successive half hitches tied around an object makes up the common clove hitch. Two successive half hitches tied around the standing part of a rope is known as two half-hitches or double half hitch. One instance where a half hitch stands on its own without additional embellishment is when added to a timber hitch to help stabilize a load in the direction of pull. A timber hitch is tied on the far end of the load to bind it securely and a half hitch made at the forward end to serve as a guide for the rope. In this instance, the half hitch combined with a timber hitch is known as a killick hitch or kelleg hitch. The knot is attractive to the eye and so is used decoratively for French whipping which is also known as ''half hitch whipping''. S ...
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Fisherman's Knot
The fisherman's knot is a bend (knot), bend (a knot for joining two lines) with a symmetrical structure consisting of two overhand knots, each tied around the standing part of the other. Other names for the fisherman's knot include: angler's knot, English knot, halibut knot, waterman's knot, and true lovers' knot. Though the fisherman's knot is associated with fishing, it can slip when tied in nylon monofilament and other slippery lines; however, if more holding strength is required, the overhand knots can be made with more turns, as in the double fisherman's knot, and so on. It is compact, jamming when tightened and the working ends can be cropped very close to the knot. It can also be easily tied with cold, wet hands. Though these properties are well suited to fishing, there are other knots that may provide superior performance, such as the blood knot. In knitting, the knot is used to join two strands of yarn. In this context, it is commonly known as "the magic knot". Image:S ...
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Figure-eight Knot
The figure-eight knot or figure-of-eight knot is a type of stopper knot. It is very important in both sailing and rock climbing as a method of stopping ropes from running out of retaining devices. Like the overhand knot, which will jam under strain, often requiring the rope to be cut, the figure-eight will also jam, but is usually more easily undone than the overhand knot. The stevedore knot is the figure-eight knot with two half twists added before the end is finally stuck. Different types Figure-eight loop The figure-eight loop is used like an overhand loop knot. This type of knot can be used in prusik climbing when used in conjunction with a climbing harness, a climbing rope, and locking carabiner designed for climbing, to ascend or descend with minimal equipment and effort. Figure-eight bend The figure-eight bend knot is used to " splice" together two ropes, not necessarily of equal diameter. This knot is tied starting with a loose figure-eight knot on one rope ...
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Eskimo Bowline
The Eskimo bowline, Cossack knot (russian: Казачий узел), reverse bowline, or 'anti-bowline' is in a class of knots known as 'eye knots' or 'loop knots'. The eye is formed in the end of the rope to permit attachments/connections. It is quite common in Russia and is often used instead of the bowline (ABoK #1010). In the simple bowline, the collar component forms around the 'standing part'. In contrast, the collar component of an Eskimo bowline forms around the outgoing eye-leg. On the first of arctic explorer John Ross' expeditions (1818) the Inuit (Eskimos) presented him a sled that contained several of these knots, showing that it is a genuine Inuit knot. The knot is not mentioned in ''The Ashley Book of Knots'' but in its Russian equivalent, the book "Морские узлы" (Marine Knots) by Lev Skryagin (1930–2000). The slipped version is known as Kalmyk loop. The Eskimo bowline is about as strong as and even more secure than the bowline, especially i ...
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