Tangle theory can be considered analogous to knot theory except instead of closed loops we use strings whose ends are nailed down. Two n-tangles are considered equivalent if there is an ambient isotopy of one tangle to the other keeping the boundary of the 3-ball fixed. The balance of this article discusses Conway's sense of tangles for the link theory sense, see that article. This usage has been extended to matroids.) Combinatorial Theory B 59 (1991) 153-190, who used it to describe separation in graphs. (A quite different use of 'tangle' appears in Graph minors X.
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