Trefoil Menagerie 3D Printer Model

Author: @
License: CC BY-NC-SA
File formats: stl
Download type: zip
Size:1.1MB

The file 'Trefoil Menagerie 3D Printer Model' is (stl) file type, size is 1.1MB.

Summary

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 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_fourier112_40_25_3.stl 1.9MB
trefoil_petal_40_25_3.stl 2.9MB
trefoil_stick_40_25.stl 285.7KB
trefoil_torus23_40_25_3.stl 2.1MB
trefoil_torus32_40_25_3.stl 2.0MB
trefoil_tritangentless_40_25_3.stl 1.9MB