Figure Eight Knot -- from Wolfram MathWorld

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

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Figure Eight Knots

Figure Eight Knot -- from Wolfram MathWorld

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Figure Eight Knot -- from Wolfram MathWorld

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The figure-8 knot is equivalent to its mirror image.

Figure-eight knot

Figure Eight Knot -- from Wolfram MathWorld

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