In knot theory, a torus knot is a special kind of knot that lies on the surface of an unknotted torus in R3. Similarly, a torus link is a link which lies on the surface of a torus in the same way. Each torus knot is specified by a pair of coprime integers p and q. A torus link arises if p and q are not coprime (in which case the number of components is gcd(p, q). A torus knot is trivial if and only if either p or q is equal to 1 or −1. The simplest nontrivial example is the (2,3)-torus knot, also known as the trefoil knot.
Read more about Torus Knot: Geometrical Representation, Properties, Connection To Complex Hypersurfaces
Famous quotes containing the word knot:
“I love him who does not want to have too many virtues. One virtue is more virtue than two, since it is more knot on which to hang the rope that is destined to hang him.”
—Friedrich Nietzsche (1844–1900)