Trefoil Menagerie

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Clockwise from the rectangular-looking one and then finishing inside with the five-pointed-looking one, these are the trefoil knot conformation variations: The cubic lattice trefoil (3,2) and the torus knot trefoil take center stage alongside the tritangentless trefoil and the Fourier-(1,1,2) trefoil. Completing the lineup are the minimum rope length trefoil, the minimum stick number trefoil, and the (2,3) Torus knot trefoil, as well as the petal knot trefoil. Special thanks to kitwallace for developing code that efficiently generates STL files of parametrized curves! For more information on the math behind creating these knots, as well as slicing profiles, check out these MakerHome posts: Day 150 - Trefoil torus knots Day 151 - Fourier and tritangentless trefoil knots Day 152 - Petal and tight trefoil knots Day 153 - Stick and lattice trefoil knots Follow me on Twitter at twitter.com/mathgrrl. Visit my blog, Hacktastic, at www.mathgrrl.com/hacktastic. Shop for geeky goodies in my Shapeways store at www.shapeways.com/shops/mathgr... All designs, pictures, and files are licensed under the Creative Commons Attribution Non-Commercial Share Alike license. If you need to use these outside of this license, please email request@mathgrrl.com.