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List of mathematical knots and links

From Wikipedia, the free encyclopedia

 A table of all prime knots with seven crossings or fewer (not including mirror images).
A table of all prime knots with seven crossings or fewer (not including mirror images).

This article contains a list of mathematical knots and links. See also list of knots, list of geometric topology topics.


Prime knots



  • 02
    link/Unlink - equivalent under ambient isotopy to finitely many disjoint circles in the plane
  • 22
    link/Hopf link - the simplest nontrivial link with more than one component; it consists of two circles linked together exactly once (L2a1)
  • 42
    link/Solomon's knot (a two component "link" rather than a one component "knot") - a traditional decorative motif used since ancient times (L4a1)
  • 52
    link/Whitehead link - two projections of the unknot: one circular loop and one figure eight-shaped loop intertwined such that they are inseparable and neither loses its form (L5a1)
  • Brunnian link - a nontrivial link that becomes trivial if any component is removed
  • 63
    link/Borromean rings - three topological circles which are linked and form a Brunnian link (L6a4)
  • L10a140 link - presumably the simplest non-Borromean Brunnian link
  • Pretzel link - a Montesinos link with integer tangles

External links

This page was last edited on 20 April 2018, at 13:13.
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