The figure eight knot, also known as the Flemish knot and savoy knot, is the unique prime knot of four crossings 04-001. It has braid word sigma_1sigma_2^(-1)sigma_1sigma_2^(-1). The figure eight knot is implemented in the Wolfram Language as KnotData["FigureEight"]. It is a 2-embeddable knot, and is amphichiral as well as invertible. It has Arf invariant 1. It is not a slice knot (Rolfsen 1976, p. 224). The Alexander polynomial Delta(x), BLM/Ho polynomial Q(x), Conway
Figure-eight knot (mathematics) - Wikipedia
Lattice of Eisenstein integers. (Downloaded from
Miller Institute Knot -- from Wolfram MathWorld
Figure Eight Knot -- from Wolfram MathWorld
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Figure 8 Knot
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Figure-eight knot
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Adequate Knot -- from Wolfram MathWorld
