Get it on Google Play
New! Download Unionpedia on your Android™ device!
Faster access than browser!
And Ads-free!

Cinquefoil knot

In knot theory, the cinquefoil knot, also known as Solomon's seal knot or the pentafoil knot, is one of two knots with crossing number five, the other being the three-twist knot. [1]

17 relations: Alexander polynomial, Chiral knot, Crossing number (knot theory), Double overhand knot, Invertible knot, Jones polynomial, Kauffman polynomial, Knot theory, Pentagram, Potentilla, Prime knot, Skein relation, Three-twist knot, Torus knot, Trefoil knot, Writhe, 7₁ knot.

Alexander polynomial

In mathematics, the Alexander polynomial is a knot invariant which assigns a polynomial with integer coefficients to each knot type.

New!!: Cinquefoil knot and Alexander polynomial · See more »

Chiral knot

In the mathematical field of knot theory, a chiral knot is a knot that is not equivalent to its mirror image.

New!!: Cinquefoil knot and Chiral knot · See more »

Crossing number (knot theory)

In the mathematical area of knot theory, the crossing number of a knot is the smallest number of crossings of any diagram of the knot.

New!!: Cinquefoil knot and Crossing number (knot theory) · See more »

Double overhand knot

The double overhand knot is simply a logical extension of the regular overhand knot, made with one additional pass.

New!!: Cinquefoil knot and Double overhand knot · See more »

Invertible knot

In mathematics, especially in the area of topology known as knot theory, an invertible knot is a knot that can be continuously deformed to itself, but with its orientation reversed.

New!!: Cinquefoil knot and Invertible knot · See more »

Jones polynomial

In the mathematical field of knot theory, the Jones polynomial is a knot polynomial discovered by Vaughan Jones in 1984.

New!!: Cinquefoil knot and Jones polynomial · See more »

Kauffman polynomial

In knot theory, the Kauffman polynomial is a 2-variable knot polynomial due to Louis Kauffman.

New!!: Cinquefoil knot and Kauffman polynomial · See more »

Knot theory

In topology, knot theory is the study of mathematical knots.

New!!: Cinquefoil knot and Knot theory · See more »


A pentagram (sometimes known as a pentalpha or pentangle or a star pentagon) is the shape of a five-pointed star drawn with five straight strokes.

New!!: Cinquefoil knot and Pentagram · See more »


Potentilla is a genus containing over 300Guillén, A., et al.

New!!: Cinquefoil knot and Potentilla · See more »

Prime knot

In knot theory, a prime knot or prime link is a knot that is, in a certain sense, indecomposable.

New!!: Cinquefoil knot and Prime knot · See more »

Skein relation

Skein relations are a mathematical tool used to study knots.

New!!: Cinquefoil knot and Skein relation · See more »

Three-twist knot

In knot theory, the three-twist knot is the twist knot with three-half twists.

New!!: Cinquefoil knot and Three-twist knot · See more »

Torus knot

In knot theory, a torus knot is a special kind of knot that lies on the surface of an unknotted torus in R3.

New!!: Cinquefoil knot and Torus knot · See more »

Trefoil knot

In topology, a branch of mathematics, the trefoil knot is the simplest example of a nontrivial knot.

New!!: Cinquefoil knot and Trefoil knot · See more »


In knot theory, there are several competing notions of the quantity writhe, or Wr.

New!!: Cinquefoil knot and Writhe · See more »

7₁ knot

In knot theory, the 71 knot, also known as the septoil knot, the septafoil knot, or the (7, 2)-torus knot, is one of seven prime knots with crossing number seven.

New!!: Cinquefoil knot and 7₁ knot · See more »

Redirects here:

(5,2)-torus knot, 5 1 knot, 5₁ knot, Pentafoil, Pentafoil knot.


[1] https://en.wikipedia.org/wiki/Cinquefoil_knot

Hey! We are on Facebook now! »