Seifert Circle

Eliminate each knot crossing by connecting each of the strands coming into the crossing to the adjacent strand leaving the crossing. The resulting strands no longer cross but form instead a set of nonintersecting circles called Seifert circles.

Explore with Wolfram|Alpha


Adams, C. C. The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. New York: W. H. Freeman, p. 96, 1994.

Referenced on Wolfram|Alpha

Seifert Circle

Cite this as:

Weisstein, Eric W. "Seifert Circle." From MathWorld--A Wolfram Web Resource.

Subject classifications