3D-printed Conformations of Knots through 7 Crossings

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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: 01 at Day 267 31 at Day 268 41 at Day 269 51 at Day 272 52 at Day 273 61 at Day 275 62 at Day 276 63 at Day 285 71 at Day 286 72 at Day 289 73 at Day 290 74 at Day 291 75 at Day 295 76 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 [email protected].

About the author:
mathgrrl
math geek and defender of the universe. hacktastic designer and maker.

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