page_title: Torus knot
section_title: List
hierarchical_section_title: Torus knot / List
caption_attribution_description: English: torus link (knot) (36,3)
context_page_description: 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. 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-torus knot, also known as the trefoil knot.
context_section_description: The figure on the right is  torus link (72,4) .
  Unknot, 3₁ knot (3,2), 5₁ knot (5,2), 7₁ knot (7,2), 8₁₉ knot (4,3), 9₁ knot (9,2), 10₁₂₄ knot (5,3)
caption: (36,3) torus link
exif: {}