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![Trefoil Menagerie by mathgrrl](/previews/9007047.jpg)
Trefoil Menagerie by mathgrrl
by Thingiverse
Last crawled date: 3 years, 1 month ago
Clockwise from the rectangular-looking one and then finishing inside with the five-pointed-looking one, these are the following conformations of the trefoil knot:
Cubic lattice trefoil
(3,2) Torus knot trefoil
Tritangentless trefoil
Fourier-(1,1,2) trefoil
Minimum rope length trefoil
Minimum stick number trefoil
(2,3) Torus knot trefoil
Petal knot trefoil
Special thanks to kitwallace who has developed code for efficiently producing STL files of parametrized curves!
For more information on the math and the OpenSCAD behind creating these knots, as well as slicing profiles, see these MakerHome posts:
Day 150 - Trefoil torus knotsDay 151 - Fourier and tritangentless trefoil knotsDay 152 - Petal and tight trefoil knotsDay 153 - Stick and lattice trefoil knots
=====
Twitter: twitter.com/mathgrrl
Hacktastic blog: www.mathgrrl.com/hacktastic
Shapeways geekhaus store: www.shapeways.com/shops/mathgrrl
This design and all associated pictures and files are licensed under the Creative Commons Attribution Non-Commercial Share Alike license. If you want to use designs, images, or files outside of the terms of this license, please email request@mathgrrl.com.
Cubic lattice trefoil
(3,2) Torus knot trefoil
Tritangentless trefoil
Fourier-(1,1,2) trefoil
Minimum rope length trefoil
Minimum stick number trefoil
(2,3) Torus knot trefoil
Petal knot trefoil
Special thanks to kitwallace who has developed code for efficiently producing STL files of parametrized curves!
For more information on the math and the OpenSCAD behind creating these knots, as well as slicing profiles, see these MakerHome posts:
Day 150 - Trefoil torus knotsDay 151 - Fourier and tritangentless trefoil knotsDay 152 - Petal and tight trefoil knotsDay 153 - Stick and lattice trefoil knots
=====
Twitter: twitter.com/mathgrrl
Hacktastic blog: www.mathgrrl.com/hacktastic
Shapeways geekhaus store: www.shapeways.com/shops/mathgrrl
This design and all associated pictures and files are licensed under the Creative Commons Attribution Non-Commercial Share Alike license. If you want to use designs, images, or files outside of the terms of this license, please email request@mathgrrl.com.
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