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 8 Knot, How to tie a Figure 8 Knot using Step-by-Step Animations
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Figure Eight Knot -- from Wolfram MathWorld
![](https://pub.mdpi-res.com/symmetry/symmetry-14-01926/article_deploy/html/images/symmetry-14-01926-g001.png?1663238719)
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![](https://virtualmathmuseum.org/SpaceCurves/figure8_knot/i/figure8_harmonic.png)
Figure 8 Knot
![](https://mathvis.academic.wlu.edu/files/2023/05/Gilreath.Gobeze.Wang-Post-1-Fig-1.jpg)
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The Figure Eight Knot
Figure Eight Knot -- from Wolfram MathWorld