Knots are embeddings of circles in 3-dimensional space, but they are typically studied in terms of their projections into 2-dimensional space. We can use 3D printing to study knots in a more 3-dimensional way.
In this series we present 3D printed conformations of the fifteen knots through seven crossings, including stick, Lissajous, lattice, torus, petal, and pretzel conformations. Constructing a 3D knot model that is actually printable can challenging; to 3D print the knot conformations through seven crossings, we used a combination of Mathematica, Blender, Tinkercad, Knotplot, SeifertView, and OpenSCAD.
For detailed information about the mathematics and the design behind these models, see the MakerHome blog:
0_1 at Day 267
3_1 at Day 268
4_1 at Day 269
5_1 at Day 272
5_2 at Day 273
6_1 at Day 275
6_2 at Day 276
6_3 at Day 285
7_1 at Day 286
7_2 at Day 289
7_3 at Day 290
7_4 at Day 291
7_5 at Day 295
7_6 at Day 296
7_7 at Day 299
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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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3D-printed Conformations of Knots through 7 Crossings
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.
Licensed under CC BY-ND
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