3D Printable 3D-printed Conformations of Knots through 7 Crossings by mathgrrl

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 ===== Twitter:  twitter.com/mathgrrl Hacktastic blog:  mathgrrl.com/hacktastic Shapeways geekhaus store:  shapeways.com/shops/mathgrrl 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 request@mathgrrl.com. | Download free and paid 3D printable STL files

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