Talk:Alternating knot
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Stuff that should be added to this article:
- Who invented the concept? Who first proved something non-trivial about alternation? Who first proved a knot to be non-alternating?
- How does one prove a knot is non-alternating? I suspect the polynomial invariants identify non-alternating knots, but I don't know.
- What's the simplest non-alternating link? Pictures?
- Are there any theorems that have "alternating" as a hypothesis?
--Dbenbenn 03:53, 3 Dec 2004 (UTC)
Some of the questions are answered by now. Some stuff to be added: explanation of how to show a knot is non-alternating (Alexander polynomial can be used). Alternating knots go back to Tait, and even before him to celtic knots and artwork. --Chan-Ho (Talk) 13:42, 9 January 2006 (UTC)