A Seifert surface S of a knot K is a compact, connected, oriented surface embedded in 3-space and its boundary is the knot K such that the orientation on K is the induced orientation from the Seifert surface S.

This movie shows a Seifert Surface of the figure 8 knot.

 

The Seifert surface and the knot geometry used in this movie were produced in Seifert View

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