by mathgrrl, published
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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:
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 [email protected].
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Trefoil Menagerie by mathgrrl is licensed under the Creative Commons - Attribution - Non-Commercial - Share Alike license.
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