Trefoil Menagerie
Free

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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Trefoil Menagerie

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Creative Commons Attribution-NoDerivatives

You can download, share, and use commercially, but you cannot change the material in any way or use it to make something new.

CC BY-ND Licensed under CC BY-ND
Files Included

6 downloadable files:

View 3D
trefoil_stick_40_25.stl
STL Model
~1-5 MB
File size
View 3D
trefoil_torus23_40_25_3.stl
STL Model
~1-5 MB
File size
View 3D
trefoil_tritangentless_40_25_3.stl
STL Model
~1-5 MB
File size
View 3D
trefoil_fourier112_40_25_3.stl
STL Model
~1-5 MB
File size
View 3D
trefoil_torus32_40_25_3.stl
STL Model
~1-5 MB
File size
View 3D
trefoil_petal_40_25_3.stl
STL Model
~1-5 MB
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