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: ...y, knot theory is inextricably linked to [[String theory|particle physics]], [[DNA topology|DNA]] [[replic...

Quandle (knot theory) (680 bytes)
1: ...ematics]], a ''rack'' and a ''quandle'' in [[knot theory]] are sets with a [[binary operation]] mimicking ...
14: [[Category:Knot theory]][[Category:Abstract algebra]]

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: ...on 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===

Loop (knot) (219 bytes)
1: [[Category:Knot theory]]
3: ...ot a knot itself but is used to build more secure knots.
8: *[[List of loop knots]]

Gordian Knot (3650 bytes)
1: ...Knot.jpg|thumb|300px|''Alexander cuts the Gordian Knot'', by Jean-Simon Berthélemy ((1743&mdash;1811)]]
2: ...em, solved by a bold stroke ("cutting the Gordian knot"). The [[myth]] it refers to is associated in [[...
4: ...prophesied by an oracle that the one to untie the knot would become the king of Asia, or at least so cla...
8: ...untie the knot. When he could find no end to the knot, to unbind it, he sliced it in half with a stroke...
10: Today, the term "Gordian Knot" applies to an apparently insoluble problem requi...

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...

Manharness knot (589 bytes)
1: [[image:ManHarness.jpg|thumb|Manharness knot]]
2: '''Canonical Name:'''Manharness knot.<BR>
6: ...arities:''' [[Farmer's loop]], [[Alpine butterfly knot]]<BR>
17: * [[List of knots]]
19: {{knot-stub}}

Figure-of-eight knot (980 bytes)
1: The '''Figure-of-eight knot''' is a type of [[knot]].
3: [[image:FigureOfEightKnot.jpg|right|thumb|]]
5: '''Canonical Name:''' Figure of Eight Knot<BR>
6: ...ame(s):''' Figure Eight Knot, Savoy Knot, Flemish Knot, Double Stopper.<BR><BR>
9: '''Related knots:''' [[Stevedore's knot]], [[Figure-of-eight loop]]<BR>

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

Reef knot (3622 bytes)
2: [[Image:sqrknot.png|thumb|none|Reef knot]]
5: '''Canonical Name:''' reef knot.<BR>
6: '''Variant Name(s):''' square knot.<BR>
7: '''Category:''' [[binding (knot)|binding]].<BR>
9: ...t(s):''' [[thief knot]], [[granny knot]], [[grief knot]].<BR>

Versatackle knot (335 bytes)
4: * [[List of knots]]
7: ...eocities.com/roo_two/Versatackle.html Versatackle knot]
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]]...

Chinese knot (615 bytes)
1: ...nd [[Qing Dynasty]] (1368-1911 A.D.). The Chinese knot has now become a type of elegant and colorful cra...
5: :[http://www.chineseknotting.org Chinese Knotting Home Page]
6: :[http://www.myknots.com Chinese knotting arts]
7: ...om/cuc/images/sub/knots/16.jpg Picture of Chinese knot]

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)]]

Running knot (244 bytes)
1: ...wline]], the [[hangman's knot]] and the [[tarbuck knot]].
3: {{knot-stub}}
5: [[Category:Running knots]]

Arbor knot (136 bytes)
1: ...knot diagram.png|thumb|left|200px|how to tie this knot]]
2: this is a tipical fishers knot.
4: [[category:knots]]
5: {{knot-stub}}

Bachmann knot (638 bytes)
1: ...png|thumb|200px|left|a diagram in how to tie this knot.]]
5: {{knot-stub}}
6: [[category:knots]]

Tarbuck knot (644 bytes)
2: [[Image:tarbuck_knot.jpg|thumb|none|Tarbuck knot]]
3: ...k_knot_howto.jpg|thumb|none|How to make a tarbuck knot.]]
7: Tarbuck knot.
13: [[Running knot]].
18: == Related knot(s) ==

Shroud knot (594 bytes)
1: ...Rope#Twisted_Ropes_and_Hawsers|twisted rope]] are knotted, but not woven, to the individual strands of a...
3: ... ships now use steel cable for the most part, the knot is now more often used decoratively than function...
5: [[Category:Knots]]

Manrope knot (306 bytes)
1: ...ind of rope button. The original use of a manrope knot was to put at the end of the ropes on either side...
3: ...ften confused with a [[Turks head knot]], as both knots have a basket weave pattern.
5: [[Category:Knots]]

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