3D-printed Conformations Of Knots Through 7 Crossings 3D Printer Model
The file '3D-printed Conformations Of Knots Through 7 Crossings 3D Printer Model' is (stl) file type, size is 8.6MB.
The file '3D-printed Conformations Of Knots Through 7 Crossings 3D Printer Model' is (stl) file type, size is 8.6MB.
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].
| 0_1_Bone.stl | 537.3KB | |
| 0_1_Crazy.stl | 5.5MB | |
| 3_1_Bone.stl | 600.6KB | |
| 3_1_Tritangentless.stl | 1.6MB | |
| 4_1_Bone.stl | 879.7KB | |
| 4_1_Stick.stl | 335.7KB | |
| 5_1_Bone.stl | 878.9KB | |
| 5_1_Lattice.stl | 437.9KB | |
| 5_2_Bone.stl | 1.0MB | |
| 5_2_Lissajous.stl | 2.0MB | |
| 6_1_Bone.stl | 1.2MB | |
| 6_1_Mosaic.stl | 992.7KB | |
| 6_2_Bone.stl | 1.0MB | |
| 6_2_Petal.stl | 5.7MB | |
| 6_3_Bone.stl | 1.1MB | |
| 6_3_Seifert.stl | 834.1KB | |
| 7_1_Bone.stl | 1.2MB | |
| 7_1_Torus.stl | 8.6MB | |
| 7_2_Bone.stl | 1.1MB | |
| 7_2_Braid.stl | 694.5KB | |
| 7_3_Bone.stl | 1.5MB | |
| 7_3_Cantarella.stl | 375.1KB | |
| 7_4_Bone.stl | 1.3MB | |
| 7_4_Pretzel.stl | 1.6MB | |
| 7_5_Bone.stl | 1.2MB | |
| 7_5_Tangle.stl | 253.2KB | |
| 7_6_Bone.stl | 1.3MB | |
| 7_6_part6_green.stl | 186.1KB | |
| 7_6_Spiral.stl | 6.1MB | |
| 7_7_Bone.stl | 1.1MB | |
| 7_7_part1_blue.stl | 385.0KB | |
| 7_7_part2_green.stl | 418.4KB | |
| 7_7_part3_blue.stl | 327.9KB | |
| 7_7_part4_red.stl | 469.7KB | |
| 7_7_part5_red.stl | 816.7KB |
