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- Conway notation (knot theory) (category Knot theory)Conway, J.H. (1970). "An Enumeration of Knots and Links, and Some of Their Algebraic Properties". in Leech, J.. Computational Problems in Abstract Algebra. Pergamon3 KB (363 words) - 20:07, 6 February 2024
- Skein relation (category Knot theory)function F is fixed and for any triple of diagrams and their polynomials labelled as above, [math]\displaystyle{ F\Big(L_-,L_0,L_+\Big)=0 }[/math] or more8 KB (950 words) - 20:03, 6 February 2024
- L10a140 link (category 10 braid length knots and links)the second in an infinite series of Brunnian links beginning with the Borromean rings. So if the blue and yellow loops have only one twist along each side6 KB (831 words) - 17:40, 6 February 2024
- Bracket polynomial (category Knot theory)invariant of knots or links (as it is not invariant under type I Reidemeister moves), a suitably "normalized" version yields the famous knot invariant called2 KB (249 words) - 23:00, 6 February 2024
- Stick number (category Knot invariants)ISBN 0-8218-3678-1 . "Stick numbers and composition of knots and links", Journal of Knot Theory and its Ramifications 6 (2): 149–161, 1997, doi:10.1142/S02182165970001215 KB (546 words) - 18:55, 8 February 2024
- S′ of genus g + 1 and Seifert matrix [math]\displaystyle{ V' = V \oplus \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}. }[/math] The genus of a knot K is10 KB (1,330 words) - 23:42, 6 February 2024
- Ribbon knot (category Knots and links)168–176 . Reprinted by Dover Books, 2010. "Fibered knots and potential counterexamples to the property 2R and slice-ribbon conjectures", Geometry & Topology5 KB (564 words) - 22:35, 6 February 2024
- Torus knot (section g-torus knot)[page needed]. ISBN 0-691-08065-8. Rolfsen, Dale (1976). Knots and Links. Publish or Perish, Inc.. p. [page needed]. ISBN 0-914098-16-0. Hill, Peter (December16 KB (1,682 words) - 22:31, 6 February 2024
- Carrick mat (category 3 genus 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
- 2-bridge knot (category Knot theory)for a nontrivial knot. Other names for 2-bridge knots are rational knots, 4-plats, and Viergeflechte for 'four braids'. 2-bridge links are defined similarly3 KB (302 words) - 15:24, 6 February 2024
- Bridge number (category Knot invariants)decomposed into two trivial n-tangles and hence 2-bridge knots are rational knots. If K is the connected sum of K1 and K2, then the bridge number of K is one3 KB (366 words) - 22:55, 6 February 2024
- complement is a knot invariant. In order to make it well-defined for all knots or links, the hyperbolic volume of a non-hyperbolic knot or link is often6 KB (626 words) - 21:17, 6 February 2024
- Finite type invariant (category Knot invariants)invariant of certain singular knots that vanishes on singular knots with m + 1 singularities and does not vanish on some singular knot with 'm' singularities5 KB (620 words) - 15:39, 6 February 2024
- HOMFLY polynomial (category Knot theory)+ \ell^{-1}P(L_-) + mP(L_0)=0,\, }[/math] where [math]\displaystyle{ L_+, L_-, L_0 }[/math] are links formed by crossing and smoothing changes on a local5 KB (681 words) - 00:17, 7 February 2024
- engineering and materials science. Electrical and mechanical properties depend on the arrangement and network structures of molecules and elementary units35 KB (4,033 words) - 17:48, 6 February 2024
- List of prime knots.) Alexander polynomials and Conway polynomials can not recognize the difference of left-trefoil knot and right-trefoil knot. The left-trefoil6 KB (439 words) - 17:42, 6 February 2024
- The Knot Atlas (category Knot theory)"beautiful illustrations and detailed information about knots," as does KnotPlot.com. According to the site itself, it is a knot atlas (collection of maps)1 KB (130 words) - 15:22, 6 February 2024
- Dowker notation is unchanged by these reflections. Knots tabulations typically consider only prime knots and disregard chirality, so this ambiguity does not3 KB (343 words) - 14:41, 6 February 2024
- Knot tabulation (category Knot theory)https://zenodo.org/record/2101269 Hoste, Jim, The Enumeration and Classification of Knots and Links, http://pzacad.pitzer.edu/~jhoste/HosteWebPages/downloads/Enumeration5 KB (564 words) - 15:24, 6 February 2024
- v=\begin{bmatrix}0 & 1 \\ -1 & 0 \end{bmatrix}, \qquad p=\begin{bmatrix}0 & 1 \\ -1 & 1 \end{bmatrix}. }[/math] Mapping a to v and b to p yields a surjective36 KB (4,579 words) - 15:02, 6 February 2024