Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Install
Faster access than browser!
 

Prime knot

Index Prime knot

In knot theory, a prime knot or prime link is a knot that is, in a certain sense, indecomposable. [1]

15 relations: Chirality (mathematics), Connected sum, Coprime integers, Crossing number (knot theory), Figure-eight knot (mathematics), Horst Schubert, Integer, Knot (mathematics), Knot theory, List of prime knots, Mirror image, Torus, Torus knot, Trefoil knot, Unknot.

Chirality (mathematics)

In geometry, a figure is chiral (and said to have chirality) if it is not identical to its mirror image, or, more precisely, if it cannot be mapped to its mirror image by rotations and translations alone.

New!!: Prime knot and Chirality (mathematics) · See more »

Connected sum

In mathematics, specifically in topology, the operation of connected sum is a geometric modification on manifolds.

New!!: Prime knot and Connected sum · See more »

Coprime integers

In number theory, two integers and are said to be relatively prime, mutually prime, or coprime (also written co-prime) if the only positive integer (factor) that divides both of them is 1.

New!!: Prime knot and Coprime integers · 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!!: Prime knot and Crossing number (knot theory) · See more »

Figure-eight knot (mathematics)

In knot theory, a figure-eight knot (also called Listing's knot or a Cavendish knot) is the unique knot with a crossing number of four.

New!!: Prime knot and Figure-eight knot (mathematics) · See more »

Horst Schubert

Horst Schubert (11 June 1919 – 2001) was a German mathematician.

New!!: Prime knot and Horst Schubert · See more »

Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

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

Knot (mathematics)

In mathematics, a knot is an embedding of a circle S^1 in 3-dimensional Euclidean space, R3 (also known as E3), considered up to continuous deformations (isotopies).

New!!: Prime knot and Knot (mathematics) · See more »

Knot theory

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

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

List of prime knots

In knot theory, prime knots are those knots that are indecomposable under the operation of knot sum.

New!!: Prime knot and List of prime knots · See more »

Mirror image

A mirror image (in a plane mirror) is a reflected duplication of an object that appears almost identical, but is reversed in the direction perpendicular to the mirror surface.

New!!: Prime knot and Mirror image · See more »

Torus

In geometry, a torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle.

New!!: Prime knot and Torus · 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!!: Prime 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!!: Prime knot and Trefoil knot · See more »

Unknot

The unknot arises in the mathematical theory of knots.

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

Redirects here:

Composite knot, Composite link, Prime knots, Prime link.

References

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

OutgoingIncoming
Hey! We are on Facebook now! »