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
![](https://i.stack.imgur.com/PjWfr.png)
Deform a three-dimensional knot - Mathematica Stack Exchange
![](https://www.researchgate.net/publication/336858603/figure/fig1/AS:866559505469440@1583615294281/From-left-to-right-the-unknot-trefoil-knot-figure-eight-knot-and-cinquefoil-knot.png)
From left to right: the unknot, trefoil knot, figure-eight knot, and
![](https://www.researchgate.net/publication/353200047/figure/fig2/AS:1045033943842816@1626166916267/Effects-of-anti-sense-oligo-2-on-SMFS-of-Zika-virus-xrRNA-a-Under-half-of-FECs-415_Q320.jpg)
Mechanical Strength Of RNA Knot In Zika Virus Protects, 42% OFF
![](https://mathcurve.com/courbes3d.gb/noeuds/huitbourke.gif)
Figure-eight knot
Figure Eight Knot -- from Wolfram MathWorld
Figure Eight Knot -- from Wolfram MathWorld
Knot Sum -- from Wolfram MathWorld
![](https://content.wolfram.com/sites/35/2011/06/relationship-between-cartesian-and-polar-plots.gif)
Posts Tagged with 'Mathematics'—Wolfram
![](http://web1.kcn.jp/hp28ah77/figure8knot16.gif)
Figure-8 Knot (2)
![](https://media.springernature.com/lw685/springer-static/image/art%3A10.1038%2Fs41589-021-00829-z/MediaObjects/41589_2021_829_Fig4_HTML.png)
Mechanical Strength Of RNA Knot In Zika Virus Protects, 42% OFF
![](https://www.researchgate.net/publication/332134360/figure/fig1/AS:757419772764160@1557594354074/The-figure-8-knot-is-equivalent-to-its-mirror-image.jpg)
The figure-8 knot is equivalent to its mirror image.
Solomon's Seal Knot -- from Wolfram MathWorld