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The reef knot, or square knot, is an ancient and simple used to secure a rope or line around an object. It is sometimes also referred to as a Hercules knot or Heracles knot. The is formed by tying a left-handed between two ends, instead of around one end, and then a right-handed overhand knot via the same procedure, or vice versa. A common for this procedure is "right over left; left over right", which is often appended with the rhyming suffix "... makes a knot both tidy and tight". Two consecutive overhands tied as described above of the same will make a . The of the reef knot must emerge both at the top or both at the bottom, otherwise a results.

The reef knot is not recommended for tying two ropes together, because of the potential instability of the knot when not stabilized; something that has resulted in many deaths (see Misuse as a bend).


Naming
The reef knot is at least 4,000 years old. The name "reef knot" dates from at least 1794 and originates from its common use to sails, that is to tie part of the down to decrease its effective surface area in strong . The name "square knot" is found in Dana's 1841 maritime compendium A Seaman's Friend, which also gives "reef knot" as an alternative name.Ashley, p. 220.

The name square knot is often used for the unslipped version of reef knot. Reef knot itself then is understood as the single slipped version, while the name is to indicate double slipped version.

Sometimes the name bowtie also may be used to indicate a double slipped version, but tying a bowtie is usually performed on flat material, and involves a of one end holding a bight of the other end i.e. not really a double slipped reef knot.

The name "Square knot" is also used for completely different other knots such as the mathematical concept of square knot, or ; this last one earns the name by being flat and drawing a square on one face (and a cross on the other face).


Uses
The reef knot is used to tie the two ends of a single rope together such that they will secure something, for example a bundle of objects, that is unlikely to move much.

The single slipped version is used by sailors for and furling sails. To release the knot a could collapse it with a pull of one hand on the slipped end. The sail's weight would make the collapsed knot come apart. It is specifically this behavior which makes the knot unsafe for connecting two ropes together.

The reef knot is also one of the key knots of textiles.Ashley, pp. 399-400.

The knot lies flat when made with cloth and has been used for tying for millennia. As a bandage knot it was known to the as the knot ( Herakleotikon hamma). and is still used extensively in medicine. In his Natural History, Pliny relates the belief that more quickly when bound with a Hercules knot.

It has also been used since ancient times to tie belts and . A modern use in this manner includes tying the obi (or belt) of a .

both ends slipped it becomes a good way to tie , whilst the non-slipped version is useful for shoelaces that are excessively short. It is appropriate for tying plastic garbage or trash bags, as the knot forms a handle when tied in two twisted edges of the bag.

A surgeon's variation, used where a third hand is unavailable, is made with two or three twists of the ropes on bottom, and sometimes on top, instead of just one.

The reef knot figures prominently in worldwide. It is included in the international membership badge and many scouting awards. In Pioneering (Scouting), it is commonly used as a to finish off specialized lashing (ropework) and . However, it is an insecure knot, unstable when jiggled, and is not suitable for supporting weight.See for an image of the emblem.

==Gallery==

statue dating from 2350 BC depicting a reef knot securing a belt]]
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Misuse as a bend
The reef knot's familiarity, ease of tying, and visually appealing symmetry conceal its weakness. The International Guild of Knot Tyers warns that this knot should never be used to two ropes together. However, modern instruction teaches that it is fine for noncritical applications, especially if stabilized. A proper bend knot, for instance a or double fisherman's knot, should be used instead. Knotting authority claimed that failures of misused reef knots have caused more deaths and injuries than failures of all other knots combined.Ashley, p. 18. Further, it is easily confused with the , which is a very poor knot.


Physical analysis
An approximate physical analysisMaddocks, J.H. and Keller, J. B., "Ropes in Equilibrium," SIAM J Appl. Math., 47 (1987), pp. 1185-1200 predicts that a reef knot will hold if 2\mu e^{\mu\pi} \ge 1, where μ is the relevant coefficient of friction. This inequality holds if \mu \gtrsim 0.24. Experiments show that the critical value of μ is actually somewhat lower.Crowell, "The physics of knots," http://www.lightandmatter.com/article/knots.html


Related knots

See also


Notes and references

External links

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