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  • Carrick mat (category 8 crossing 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
  • Mathematical diagram (section Knot diagrams)
    -2. ) Rolfsen, Dale (1976). Knots and links. Publish or Perish. ISBN 978-0-914098-16-4. https://books.google.com/books?id=qFLvAAAAMAAJ.  "Venn diagram"
    14 KB (1,566 words) - 21:29, 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". in
    3 KB (363 words) - 20:07, 6 February 2024
  • Writhe (category Knot theory)
    coils that increase its writhing number”. DNA supercoiling Linking number Ribbon theory Twist (mathematics) Winding number Bates, Andrew (2005). DNA Topology
    10 KB (1,359 words) - 14:58, 6 February 2024
  • Seifert surface (redirect from Knot genus) (category Knot theory) (section Existence and Seifert matrix)
    + 1 and Seifert matrix [math]\displaystyle{ V' = V \oplus \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}. }[/math] The genus of a knot K is the knot invariant
    10 KB (1,330 words) - 23:42, 6 February 2024
  • Torus knot (category Wikipedia articles needing page number citations from November 2017) (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 (December
    16 KB (1,682 words) - 22:31, 6 February 2024
  • Braid group (category Knot theory) (section Generators and relations)
    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 surjective
    36 KB (4,579 words) - 15:02, 6 February 2024
  • Linking number (category Knot invariants) (section Computing the linking number)
    positive crossings minus the total number of negative crossings is equal to twice the linking number. That is: [math]\displaystyle{ \text{linking number}=\frac{n_1
    16 KB (2,349 words) - 19:45, 6 February 2024
  • Knot polynomial (category Knot invariants) (section Specific knot polynomials)
    a notation that simply organizes knots by their crossing number. The order of Alexander–Briggs notation of prime knot is usually sured.[clarification needed]
    6 KB (439 words) - 17:42, 6 February 2024
  • 2-bridge knot (category Knot theory)
    nontrivial knot. Other names for 2-bridge knots are rational knots, 4-plats, and Viergeflechte for 'four braids'. 2-bridge links are defined similarly as above
    3 KB (302 words) - 15:24, 6 February 2024
  • Manifold (category All articles with dead external links) (section Charts, atlases, and transition maps)
    + y2 + z2 – 1 = 0 may be covered by an atlas of six charts: the plane z = 0 divides the sphere into two half spheres (z > 0 and z < 0), which may both
    69 KB (9,368 words) - 16:15, 6 February 2024
  • Hyperbolic volume (category Knot theory) (section Knot and link invariant)
    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 often
    6 KB (626 words) - 21:17, 6 February 2024
  • Topology (category Articles with Curlie links) (section Continuous functions and homeomorphisms)
    engineering and materials science. Electrical and mechanical properties depend on the arrangement and network structures of molecules and elementary units
    35 KB (4,033 words) - 17:48, 6 February 2024
  • Ribbon knot (category Knots and links)
    the conjecture is true for knots of bridge number two. (Greene Jabuka) showed it to be true for three-stranded pretzel knots with odd parameters. However
    5 KB (564 words) - 22:35, 6 February 2024
  • Tricolorability (category Knot invariants) (section In torus knots)
    Accessed: May 5, 2013. Gilbert, N.D. and Porter, T. (1994) Knots and Surfaces, p. 8 Bestvina, Mladen (February 2003). "Knots: a handout for mathcircles", Math
    5 KB (646 words) - 00:14, 7 February 2024
  • Knot tabulation (category Knot theory)
    million). Starting with three crossings (the minimum for any nontrivial knot), the number of prime knots for each number of crossings is 1, 1, 2, 3, 7, 21, 49
    5 KB (564 words) - 15:24, 6 February 2024
  • Conway sphere (category Knot theory)
    (1997), An introduction to knot theory, Graduate Texts in Mathematics, 175, Berlin, New York: Springer-Verlag, ISBN 978-0-387-98254-0, https://books.google
    2 KB (194 words) - 17:53, 8 February 2024
  • Crosscap number (category Knot invariants) (section Knot sum)
    "Crosscaps and Knots", Int. J. Math and Math. Sci, Vol 1, 1978, pp 113–124 Murakami, Hitoshi and Yasuhara, Akira. "Crosscap number of a knot," Pacific J
    2 KB (212 words) - 18:46, 6 February 2024
  • Arf invariant of a knot (category Knot invariants) (section Arf as knot concordance invariant)
    University Press. ISBN 0-691-08336-3.  Kauffman, Louis H. (1987). On knots. Annals of Mathematics Studies. 115. Princeton University Press. ISBN 0-691-08435-1. 
    5 KB (682 words) - 18:43, 6 February 2024
  • Unknotting problem (category Knot theory)
    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 unknot. A combinatorial version of knot Floer
    11 KB (1,220 words) - 22:16, 6 February 2024

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