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...
10 KB (1,260 words) - 01:45, 31 October 2024
unknot. So the trefoil really is "knotted". The left-handed trefoil knot. The right-handed trefoil knot. Actually, there are two trefoil knots, called the...
49 KB (6,295 words) - 07:50, 15 October 2024
occurrence of knots in proteins and confirm the existence of the trefoil knot in CAB. Knotted DNA was found first by Liu et al. in 1981, in single-stranded...
21 KB (2,316 words) - 10:52, 12 January 2024
The trefoil knot fold is a protein fold in which the protein backbone is twisted into a trefoil knot shape. "Shallow" knots in which the tail of the polypeptide...
11 KB (1,130 words) - 06:27, 15 July 2024
Fleur-de-Lys Foil (architecture) Quatrefoil Shamrock Trefoil arch Trefoil domain Trefoil knot Torus knot The French terms 'quartefeuille' and 'quintefeuille'...
8 KB (756 words) - 23:26, 22 October 2024
knot is intended to be permanent. It is often used to prevent the end of a rope from unraveling. An overhand knot becomes a trefoil knot, a true knot...
5 KB (570 words) - 08:29, 23 October 2023
simplest nontrivial knots are the trefoil knot (31 in the table), the figure-eight knot (41) and the cinquefoil knot (51). Several knots, linked or tangled...
23 KB (2,508 words) - 21:20, 11 January 2024
left-trefoil knot and right-trefoil knot. The left-trefoil knot. The right-trefoil knot. So we have the same situation as the granny knot and square knot since...
5 KB (416 words) - 23:48, 22 June 2024
coprime integers. Knots are characterized by their crossing numbers. The simplest prime knot is the trefoil with three crossings. The trefoil is actually a...
3 KB (271 words) - 16:54, 20 August 2024
In knot theory, the square knot is a composite knot obtained by taking the connected sum of a trefoil knot with its reflection. It is closely related...
4 KB (429 words) - 10:46, 30 June 2022
The unknot, trefoil knot, and figure-eight knot are fibered knots. The Hopf link is a fibered link. The Alexander polynomial of a fibered knot is monic,...
4 KB (419 words) - 20:04, 27 August 2022
button knot, double connection knot, double coin knot, agemaki, cross knot, square knot, Plafond knot, Pan Chang knot, and the good luck knot. Knots of more...
33 KB (4,282 words) - 02:29, 1 November 2024
the unknot and the trefoil knot. The figure-eight knot is a prime knot. The name is given because tying a normal figure-eight knot in a rope and then...
9 KB (1,069 words) - 10:48, 11 April 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 knot -...
3 KB (421 words) - 23:35, 12 September 2023
Archimedean point Egg of Columbus Endless knot Gödel's Loophole Kobayashi Maru Ouroboros Sovereignty Trefoil knot Yoke and arrows Wicked problem World riddle...
9 KB (1,084 words) - 13:53, 21 October 2024
alternating knots. Both possible trefoil knots. The left-handed trefoil knot. The right-handed trefoil knot. The simplest chiral knot is the trefoil knot, which...
8 KB (700 words) - 14:15, 10 July 2024
Atlas L6a4) The valknut as trefoil knot or triquetra (unicursal) (Knot Atlas 3_1) The valknut as closed 3-link chain (Knot Atlas L6n1) As Borromean rings...
11 KB (1,170 words) - 02:16, 14 November 2024
zero, the trefoil knot three and the figure-eight knot four. There are no other knots with a crossing number this low, and just two knots have crossing...
6 KB (573 words) - 23:43, 2 April 2024
by a relatively simple algorithm. The unknot has knot group isomorphic to Z. The trefoil knot has knot group isomorphic to the braid group B3. This group...
3 KB (389 words) - 14:32, 13 July 2022
In knot theory, the granny knot is a composite knot obtained by taking the connected sum of two identical trefoil knots. It is closely related to the square...
3 KB (404 words) - 19:16, 19 June 2020
nontrivial example is the (2,3)-torus knot, also known as the trefoil knot. A torus knot can be rendered geometrically in multiple ways which are topologically...
16 KB (1,781 words) - 09:08, 24 October 2024
Mandala Möbius strip Namkha Oseberg style Ouroboros Pan Chang knot Solomon's knot Trefoil knot Triquetra Valknut Yin and yang Beer, Robert (2003). The Handbook...
6 KB (511 words) - 11:43, 30 October 2024
result from continuous deformations, such as the homeomorphism between a trefoil knot and a circle. Homotopy and isotopy are precise definitions for the informal...
13 KB (1,640 words) - 15:00, 7 October 2024
Ashley's stopper knot – trefoil-faced stopper at the end of the rope Axle hitch – used to tie a hitch in a hard-to-reach place Bachmann knot – friction hitch...
27 KB (4,057 words) - 09:49, 4 October 2024
Seifert surface (redirect from Genus of a knot)
unknot is the only knot with genus zero. The trefoil knot has genus 1, as does the figure-eight knot. The genus of a (p, q)-torus knot is (p − 1)(q − 1)/2...
10 KB (1,358 words) - 07:56, 18 July 2024
The signature of a trefoil knot is ±2 and the signature of the concordance class of the connected sum of n {\displaystyle n} trefoils is ± 2 n {\displaystyle...
13 KB (2,017 words) - 23:24, 16 January 2024
Triquetra (redirect from Trinity knot)
interpretation, the triquetra represents the topologically simplest possible knot. The term triquetra in archaeology is used of any figure consisting of three...
12 KB (1,216 words) - 18:33, 26 October 2024
names including "trefoil" Trefoil Guild, part of Girlguiding Vertical trefoil and oblique trefoil, Zernike polynomials Trefoil knot fold, a protein fold...
1 KB (182 words) - 12:20, 28 June 2021
Space Harmony (section Trefoil knot)
off again. The patterns of many scales can be found to be based on the Trefoil knot. This is used to represent the spatial model of the "standard scale of...
13 KB (1,847 words) - 05:47, 11 June 2021
the knots discovered in proteins are deep trefoil (31) knots. Figure eight knots (41), three-twist knots (52), Stevedore knots (61) and Septoil knot (71)...
23 KB (2,895 words) - 05:10, 8 July 2024