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63 knot information


63 knot
Arf invariant1
Braid length6
Braid no.3
Bridge no.2
Crosscap no.3
Crossing no.6
Genus2
Hyperbolic volume5.69302
Stick no.8
Unknotting no.1
Conway notation[2112]
A–B notation63
Dowker notation4, 8, 10, 2, 12, 6
Last / Next62 / 71
Other
alternating, hyperbolic, fibered, prime, fully amphichiral

In knot theory, the 63 knot is one of three prime knots with crossing number six, the others being the stevedore knot and the 62 knot. It is alternating, hyperbolic, and fully amphichiral. It can be written as the braid word

[1]
  1. ^ "6_3 knot - Wolfram|Alpha".

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63 knot

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In knot theory, the 63 knot is one of three prime knots with crossing number six, the others being the stevedore knot and the 62 knot. It is alternating...

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prediction of 63 knot. Furthermore, using same techniques, composite knots (namely 31#31) were found and crystallised. Mathematically, a knot is defined...

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Knot theory

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In topology, knot theory is the study of mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope,...

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62 knot

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In knot theory, the 62 knot is one of three prime knots with crossing number six, the others being the stevedore knot and the 63 knot. This knot is sometimes...

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In knot theory, a branch of mathematics, the trefoil knot is the simplest example of a nontrivial knot. The trefoil can be obtained by joining the two...

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List of mathematical knots and links

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twist knot with four twists 62 knot - a prime knot with crossing number six 63 knot - a prime knot with crossing number six 71 knot, septafoil knot, (7...

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Gale

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a gale as sustained surface wind moving at a speed between 34 and 47 knots (63.0 and 87.0 km/h; 17.5 and 24.2 m/s; 39.1 and 54.1 mph). Forecasters typically...

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Prime knot

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In knot theory, a prime knot or prime link is a knot that is, in a certain sense, indecomposable. Specifically, it is a non-trivial knot which cannot...

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Hyperbolic link

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knot (the figure-eight knot) 52 knot (the three-twist knot) 61 knot (the stevedore knot) 62 knot 63 knot 74 knot 10 161 knot (the "Perko pair" knot)...

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List of prime knots

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In knot theory, prime knots are those knots that are indecomposable under the operation of knot sum. The prime knots with ten or fewer crossings are listed...

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Cinquefoil knot

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In knot theory, the cinquefoil knot, also known as Solomon's seal knot or the pentafoil knot, is one of two knots with crossing number five, the other...

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Torus knot

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In knot theory, a torus knot is a special kind of knot that lies on the surface of an unknotted torus in R3. Similarly, a torus link is a link which lies...

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Conway knot

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In mathematics, in particular in knot theory, the Conway knot (or Conway's knot) is a particular knot with 11 crossings, named after John Horton Conway...

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Half hitch

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The half hitch is a simple hitch knot, where the working end of a line is brought over and under the standing part. Insecure on its own, it is a valuable...

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74 knot

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In mathematical knot theory, 74 is the name of a 7-crossing knot which can be visually depicted in a highly-symmetric form, and so appears in the symbolism...

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Chinese knotting

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Chinese knotting, also known as zhongguo jie (Chinese: 中國結; pinyin: Zhōngguó jié), is a Chinese folk art with ties to Buddhism and Taoism. A Chinese knot is...

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Chiral knot

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field of knot theory, a chiral knot is a knot that is not equivalent to its mirror image (when identical while reversed). An oriented knot that is equivalent...

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Unknot

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of knots, the unknot, not knot, or trivial knot, is the least knotted of all knots. Intuitively, the unknot is a closed loop of rope without a knot tied...

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71 knot

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In knot theory, the 71 knot, also known as the septoil knot, the septafoil knot, or the (7, 2)-torus knot, is one of seven prime knots with crossing number...

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Gale warning

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experiencing, or about to experience, winds within the range of 34 knots (63 km/h; 39 mph) to 47 knots (87 km/h; 54 mph). In United States maritime warning flag...

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Beaufort scale

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gusts of at least 52 knots are expected.; "Storm Force Warnings" are issued if Beaufort force 10 or frequent gusts of at least 61 knots are expected; "Violent...

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Transom knot

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knot, the underlying structure of the transom knot is the strangle knot. The introduction of a second, perpendicular spar into a loose strangle knot tied...

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Knot invariant

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mathematical field of knot theory, a knot invariant is a quantity (in a broad sense) defined for each knot which is the same for equivalent knots. The equivalence...

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Knot group

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a knot is an embedding of a circle into 3-dimensional Euclidean space. The knot group of a knot K is defined as the fundamental group of the knot complement...

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Wild knot

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In the mathematical theory of knots, a knot is tame if it can be "thickened", that is, if there exists an extension to an embedding of the solid torus...

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Storm warning

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Weather Service of the United States when winds between 48 knots (89 km/h, 55 mph) and 63 knots (117 km/h, 73 mph) are occurring or predicted to occur soon...

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