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Formally, a link is one or more disjointly embedded Circles in 3-space. More informally, a link is an assembly
of Knots with mutual entanglements. Kuperberg (1994) has shown that a nontrivial Knot or link in
has four Collinear points (Eppstein). Doll and Hoste (1991) list Polynomials for
oriented links of nine or fewer crossings. A listing of the first few simple links follows, arranged by Crossing
Number.
07-02-01
07-02-02
07-02-03
07-02-04
07-02-05
07-02-06
07-02-07
07-02-08
08-02-01
08-02-02
08-02-03
08-02-04
08-02-05
08-02-06
08-02-07
08-02-08
08-02-09
08-02-10
08-02-11
08-02-12
08-02-13
08-02-14
08-02-15
08-02-16
09-02-01
09-02-02
09-02-03
09-02-04
09-02-05
09-02-06
09-02-07
09-02-08
09-02-09
09-02-10
09-02-11
09-02-12
09-02-13
09-02-14
09-02-15
09-02-16
09-02-17
09-02-18
09-02-19
09-02-20
09-02-21
09-02-22
09-02-23
09-02-24
09-02-25
09-02-26
09-02-27
09-02-28
09-02-29
09-02-30
09-02-31
09-02-32
09-02-33
09-02-34
09-02-35
09-02-36
09-02-37
09-02-38
09-02-39
09-02-40
09-02-41
09-02-42
09-02-43
09-02-44
09-02-45
09-02-46
09-02-47
09-02-48
09-02-49
09-02-50
09-02-51
09-02-52
09-02-53
09-02-54
09-02-55
09-02-56
09-02-57
09-02-58
09-02-59
09-02-60
09-02-61
08-03-01
08-03-02
08-03-03
08-03-04
08-03-05
08-03-06
08-03-07
08-03-08
08-03-09
08-03-10
09-03-01
09-03-02
09-03-03
09-03-04
09-03-05
09-03-06
09-03-07
09-03-08
09-03-09
09-03-10
09-03-11
09-03-12
09-03-13
09-03-14
09-03-15
09-03-16
09-03-17
09-03-18
09-03-19
09-03-20
09-03-21
See also Andrews-Curtis Link, Borromean Rings, Brunnian Link, Hopf Link, Knot, Whitehead Link
References
Doll, H. and Hoste, J. ``A Tabulation of Oriented Links.'' Math. Comput. 57, 747-761, 1991.
Eppstein, D. ``Colinear Points on Knots.''
http://www.ics.uci.edu/~eppstein/junkyard/knot-colinear.html.
Kuperberg, G. ``Quadrisecants of Knots and Links.'' J. Knot Theory Ramifications 3, 41-50, 1994.
Weisstein, E. W. ``Knots.'' Mathematica notebook Knots.m.
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© 1996-9 Eric W. Weisstein
