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Figure-eight knot of practical knot-tying, with ends joined. In knot theory, a figure-eight knot (also called Listing's knot [1]) is the unique knot with a crossing number of four. This makes it the knot with the third-smallest possible crossing number, after the unknot and the trefoil knot. The figure-eight knot is a prime knot .
Stick number. 2,3 torus (or trefoil) knot has a stick number of six. In the mathematical theory of knots, the stick number is a knot invariant that intuitively gives the smallest number of straight "sticks" stuck end to end needed to form a knot. Specifically, given any knot , the stick number of , denoted by , is the smallest number of edges ...
1231\45632654. 6 2 knot. 6 2. 6a2. 4 8 10 12 2 6. [312] 123456:234165. 1231\45632456. 6 3 knot.
The knot ( / nɒt /) is a unit of speed equal to one nautical mile per hour, exactly 1.852 km/h (approximately 1.151 mph or 0.514 m/s ). [1] [2] The ISO standard symbol for the knot is kn. [3] The same symbol is preferred by the Institute of Electrical and Electronics Engineers ( IEEE ), while kt is also common, especially in aviation, where it ...
Writhe of link diagrams. In knot theory, the writhe is a property of an oriented link diagram. The writhe is the total number of positive crossings minus the total number of negative crossings. A direction is assigned to the link at a point in each component and this direction is followed all the way around each component.
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A Seifert surface bounded by a set of Borromean rings. In mathematics, a Seifert surface (named after German mathematician Herbert Seifert [1] [2]) is an orientable surface whose boundary is a given knot or link . Such surfaces can be used to study the properties of the associated knot or link. For example, many knot invariants are most easily ...
Bridge number was first studied in the 1950s by Horst Schubert. [2] [3] The bridge number can equivalently be defined geometrically instead of topologically . In bridge representation, a knot lies entirely in the plane apart for a finite number of bridges whose projections onto the plane are straight lines. Equivalently the bridge number is the ...