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- seen as a trivial knot In the mathematical theory of knots, the unknot, not knot, or trivial knot, is the least knotted of all knots. Intuitively, the5 KB (560 words) - 19:08, 6 February 2024
- Figure-eight knot (mathematics) (category 1 unknotting number knots and links)Unique knot with a crossing number of four In knot theory, a figure-eight knot (also called Listing's knot) is the unique knot with a crossing number of four9 KB (986 words) - 18:54, 6 February 2024
- billion knots and links (Hoste 2005). The sequence of the number of prime knots of a given crossing number, up to crossing number 16, is 0, 0, 1, 1, 248 KB (6,198 words) - 19:12, 6 February 2024
- (−2,3,7) pretzel knot (category 5 unknotting number knots and links)Fintushel and Ronald J. Stern), is an important example of a pretzel knot which exhibits various interesting phenomena under three-dimensional and four-dimensional2 KB (138 words) - 20:13, 6 February 2024
- Whitehead link (category 1 unknotting number knots and links)towards the linking number. Because the remaining crossings have equal numbers of under and over crossings on each loop, its linking number is 0. It is not isotopic6 KB (622 words) - 16:01, 6 February 2024
- Figure-eight knot unknotting number 1 Cinquefoil knot unknotting number 2 Three-twist knot unknotting number 1 Stevedore knot unknotting number 1 6₂ knot unknotting4 KB (379 words) - 22:25, 6 February 2024
- Crossing number (knot theory) (category Knot invariants)to crossing number. Other numerical knot invariants include the bridge number, linking number, stick number, and unknotting number. "On Knots I, II, III′"5 KB (565 words) - 22:45, 6 February 2024
- result that the unknotting problem is in co-NP. Knot Floer homology of the knot detects the genus of the knot, which is 0 if and only if the knot is an unknot11 KB (1,220 words) - 22:16, 6 February 2024
- Carrick mat (category 2 unknotting number knots and links)flat, it can be used as a woggle. List of knots Budworth, Geoffrey (1999). The Ultimate Encyclopedia of Knots & Ropework. London: Hermes House. p. 227.3 KB (213 words) - 00:14, 7 February 2024
- Prime knot (category Knot invariants)non-trivial knot which cannot be written as the knot sum of two non-trivial knots. Knots that are not prime are said to be composite knots or composite3 KB (288 words) - 21:40, 6 February 2024
- each strand required to lie at (0, 0), (0, 1), (1, 0), (1, 1), (2, 0), (2, 1), ... – i.e., connecting the integers, and ending in the same order that they8 KB (1,104 words) - 22:45, 6 February 2024
- Bridge number (category Knot invariants)the bridge numbers of K1 and K2. Crossing number Linking number Stick number Unknotting number Adams, Colin C. (1994), The Knot Book, American Mathematical3 KB (366 words) - 22:55, 6 February 2024
- Conway notation (knot theory) (category Knot theory)mi.sanu.ac.rs. "Conway Notation", The Knot Atlas. Conway, J.H. (1970). "An Enumeration of Knots and Links, and Some of Their Algebraic Properties". in3 KB (363 words) - 20:07, 6 February 2024
- Link group (category Knot invariants)invariants, and in fact they (and their products) are the only rational finite type concordance invariants of string links; (Habegger Masbaum). The number of linearly9 KB (1,196 words) - 14:58, 6 February 2024
- Alternating knot (category Knot invariants)diagram. Many of the knots with crossing number less than 10 are alternating. This fact and useful properties of alternating knots, such as the Tait conjectures6 KB (693 words) - 16:41, 6 February 2024
- mathematical knots and links. See also list of knots, list of geometric topology topics. 01 knot/Unknot - a simple un-knotted closed loop 31 knot/Trefoil knot3 KB (419 words) - 17:53, 8 February 2024
- to all knots, or just to alternating knots. It turns out that most of them are only true for alternating knots. In the Tait conjectures, a knot diagram6 KB (672 words) - 14:48, 6 February 2024
- Stick number (category Knot invariants)stick number for any nontrivial knot. There are few knots whose stick number can be determined exactly. Gyo Taek Jin determined the stick number of a5 KB (546 words) - 18:55, 8 February 2024
- Knot invariant (category Knot invariants)org/stable/1970594. Rolfsen, Dale (2003). Knots and Links. Providence, RI: AMS. ISBN 0-8218-3436-3. Adams, Colin Conrad (2004). The Knot Book: an Elementary Introduction10 KB (1,266 words) - 00:08, 7 February 2024
- Knot tabulation (category Knot theory)methods can now enumerate billions of knots in a matter of days. Knot theory Knot (mathematics) List of prime knots Unknotting problem Hoste, Jim; Thistlethwaite5 KB (564 words) - 15:24, 6 February 2024