Trefoil Menagerie

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Description

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 at makerhome.blogspot.com: 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

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Design Files

File Size

trefoil_stick_40_25.stl
286 KB
trefoil_petal_40_25_3.stl
2.92 MB
trefoil_torus32_40_25_3.stl
1.99 MB
trefoil_fourier112_40_25_3.stl
1.89 MB
trefoil_torus23_40_25_3.stl
2.12 MB
trefoil_tritangentless_40_25_3.stl
1.91 MB

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