Knot (7619 bytes)
3: ...gure eight knot]] <br>9.[[Reef knot]] or [[Square knot]] 10.[[Two half hitches]]]]
4: ...ing, stake or to constrict an object. Decorative knots usually bind to themselves to produce attractive...
7: ... common use or the mathematical implications of [[knot theory]].
9: ...ure of safety. In addition to safety, appropriate knots can prevent the necessity of cutting lines.
11: ===Knots in textiles===

Knot (mathematics) (2313 bytes)
1: ...ge:TrefoilKnot-01.png|thumb|150px|right|A trefoil knot.]]
2: ...ch objects forms a branch of mathematics called [[knot theory]].
4: ...he [[figure-eight knot (mathematics)|figure-eight knot]].
6: ...ogether, are called [[link (mathematics)|links]]. Knots are links with a single component.
8: ...ogical (mathematics)|pathological]] behavior. In knot theory and [[3-manifold]] theory, oftentimes the ...

Knot (speed) (2302 bytes)
1: ...]] equal to one [[nautical mile]] per [[hour]]. ''Knot'' is usually abbreviated ''kt''.
3: The knot is now usually 1.852 [[kilometres per hour]] prec...
5: The knot is widely used in air and sea [[navigation]], eve...
7: ...ot is already a measure of speed, the expression "knots per hour" is a [[solecism]]. Taken literally (na...
10: ...8 second [[sandglass]] to time the operation. The knot count would be reported and used in the sailing m...

Great Knot (2171 bytes)
2: <tr><th align="center" bgcolor=pink>'''Great Knot'''</th></tr>
16: The '''Great Knot''', '''''Calidris tenuirostris''''', is a small [...
22: ..., throat and breast. In other plumages, the Great Knot can be identified by its larger size, longer bill...

Knot theory (6900 bytes)
1: ...humb|150px|Trefoil knot, the simplest non-trivial knot.]]
2: ...t properties of [[Knot (mathematical)|theoretical knots]]--the spatial arrangements that in principle co...
4: ...knots if and only if it is equivalent to the '''unknot''', a circle in 3-space.
7: ... understanding and classification of all possible knots would explain why atoms [[spectroscopy|absorb an...
8: ...ave knots become a popular field of study. Today, knot theory is inextricably linked to [[String theory|...

Blood knot (679 bytes)
1: [[Image:BloodKnot Final.jpg|thumb|right|Blood knot]]
2: [[Image:BloodKnot HowTo.jpg|thumb|right|Blood knot step by step]]
4: ...e hook hoop, and brought back together with the [[Knot#Terminology|standing end]]. Then the hook is rota...
6: ...ulled tight to appear somewhat like a [[hangman's knot]].
8: [[Category:Knots]]

Trefoil knot (1926 bytes)
1: [[Image:TrefoilKnot-01.png|right|Trefoil knot]]
2: ...ossings]]. It can be described as a (2,3)-[[torus knot]], its [[braid word]] being &sigma;₁<s...
7: ...ro. It is a [[fibered knot]], meaning that its [[knot complement|complement]] in <math>S^3</math> is a ...
12: The [[knot group]] of the trefoil is [[isomorphic]] to ''B''...
15: *[[Figure-eight knot (mathematics)]]

Diamond knot (410 bytes)
1: ...[[whistle]] [[lanyard]]. Look up "chinese button knot" for the easiest and most concise set of directio...
5: [[Category:Knots]]

Windsor knot (751 bytes)
1: ...Double_windsor.png|thumb|Tying the double-windsor knot]]
3: ...ot when tied with the conventional [[four in hand knot]].
5: ...series, the playboy spy remarked that the Windsor knot was "the mark of a cad."
10: {{knot-stub}}

Slip knot (920 bytes)
1: ...rope to the middle of another, while allowing the knot to slide along the rope.
3: ...love hitch]]) can be turned into this sort of slipknot by tying it around the standing part of the line.
5: The most common example of the second kind of slipknot is the [[rolling hitch]].
7: ...of knot is also called a [[noose]] or a [[running knot]].
9: {{knot-stub}}

Knot (disambiguation) (1086 bytes)
1: '''Knot''' may refer to:
3: * '''[[knot]]''' – a fastening or securing of rope or a simil...
4: * '''[[knot (speed)]]''' – a unit of [[speed]] equaling 1.15 ...
5: ... [[knot theory]], an abstract representation of a knot in the above sense
6: * '''[[Red Knot]]''' and '''[[Great Knot]]''' – two related [[bird]]s

Knot invariant (2092 bytes)
1: [[Category:Knot theory]]
3: ...m one another or in outlining other properties of knots.
5: ... other or even just the [[unknot]] from all other knots.
7: ...at it distinguishes the given knot from all other knots up to [[isotopy]].
9: ...nimal genus of a [[Seifert surface]] spanning the knot.

Binding (knot) (811 bytes)
1: The '''binding''' knot may possess either of two possible fundamental me...
3: * Friction Type: These binding knots pass at least once around a load and are held in...
4: ...e held in place by the two ends of the line being knotted together.
6: Binding knots may be used to bind an individual object or a lo...
8: ...g despite serving a similar function to a Binding knot.

Grief knot (1719 bytes)
1: ... a combination of a [[granny knot]] and a [[thief knot]], its name being a [[portmanteau word]] from bot...
3: '''Canonical Name:''' Grief Knot.<BR>
7: ...ot(s):''' [[reef knot]], [[thief knot]], [[granny knot]].<BR>
10: '''Caveat:''' A joke knot! Incredibly insecure, fairly easy to tie.<BR>
11: ... light load - it is used by magicians to create a knot that isn't there.<BR>

Klemheist knot (602 bytes)
2: [[Image:KlemheistKnot.jpg|right|Klemheist knot]]
4: ...eased. It is similar in function to the [[Prusik knot]] and the
5: [[Bachmann knot]], but has the advantage over the prusik that a l...
9: {{knot-stub}}
11: [[Category:Knots]]

Red Knot (2663 bytes)
2: <tr><th align="center" bgcolor=pink>'''Red Knot'''</th></tr>
3: ...er">[[Image:Knot feeding.jpg|200px|none|thumb|Red Knot (winter plumage)]]</td></tr>
17: The '''Red Knot''', ''Calidris canutus'' (just '''Knot''' in [[Europe]]), is a small [[wader|shorebird]]...

Knot polynomial (15386 bytes)
1: [[Category:Knot theory]]
5: A '''knot polynomial''' is a particular [[knot invariant]]. The coefficients are the important p...
11: ...o communicate than a knot, or even a drawing of a knot.
13: ...d is sufficiently discriminating, two complicated knots can be checked for identity algorithmically.
17: ...pute.[http://www.fortunecity.com/emachines/e11/86/knotprob.html] ''actually it looks like E increases ra...

Prime knot (1880 bytes)
1: ...a nontrivial problem to determine whether a given knot is prime or not.
3: ...nicest examples of prime knots are called [[torus knot]]s. These are formed by wrapping a circle around ...
5: ...teger]] ''n'', there are a finite number of prime knots with ''n'' [[crossing number|crossings]]. The fi...
11: | Number of prime knots<br>with ''n'' crossings
14: ...ph]]s are counted only once in this table (i.e. a knot and its [[mirror image]] are considered equivalen...

Prusik knot (577 bytes)
1: [[Image:PrusikKnot.jpg|thumb|Prusik knot.]]
3: ...ue]] use a prusik knot hitch as a 'pulley tender' knot, to hold a line taut while tensioning a [[Highlin...
8: {{knot-stub}}
10: [[Category:knots]]

Knot group (923 bytes)
1: ... is defined as the [[fundamental group]] of the [[knot complement]] of ''K'' in '''R'''³,
3: ...d can be used to distinguish between inequivalent knots.
7: *The [[unknot]] has a knot group isomorphic to '''Z''', the infinite [[cycli...
8: *The [[trefoil knot]] has a knot group isomorphic to the [[braid group]] ''B''<sub...
9: *A (''p'',''q'')-[[torus knot]] has knot group with presentation <math>( x,y \mid x^p = y^...

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