3D-printed Conformations of Knots through 7 Crossings

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Human: Knots are complex mathematical objects that can be visualized as embeddings of circles in three-dimensional space, typically studied through their two-dimensional projections. By utilizing 3D printing technology, we can explore knots in a more immersive and dynamic way. In this series, we present fifteen 3D printed conformations of knots with seven crossings, each represented by various models such as stick figures, Lissajous curves, lattice structures, torus shapes, petal designs, and pretzel patterns. Creating an actual printable knot model can be a challenging task; to print the conformations through seven crossings, we combined the capabilities of Mathematica, Blender, Tinkercad, Knotplot, SeifertView, and OpenSCAD. For detailed information about the mathematical principles and design processes behind these models, please visit the MakerHome blog at: 0_1 on Day 267, 3_1 on Day 268, 4_1 on Day 269, 5_1 on Day 272, 5_2 on Day 273, 6_1 on Day 275, 6_2 on Day 276, 6_3 on Day 285, 7_1 on Day 286, 7_2 on Day 289, 7_3 on Day 290, 7_4 on Day 291, 7_5 on Day 295, 7_6 on Day 296, and 7_7 on Day 299. === Follow us on Twitter at twitter.com/mathgrrl. Check out our Hacktastic blog at www.mathgrrl.com/hacktastic. Visit our Shapeways geekhaus store at www.shapeways.com/shops/mathgr... This design, along with all associated images and files, is licensed under the Creative Commons Attribution Non-Commercial Share Alike license. If you wish to use designs, images, or files outside of this license, please email request@mathgrrl.com.