3D-printed Conformations of Knots through 7 Crossings

myminifactory

Human: Knots are embeddings of circles in three-dimensional space, but they're typically studied by projecting them into two-dimensional space. We can utilize 3D printing to study knots in a more three-dimensional manner. In this series, we present 3D printed conformations of the fifteen knots through seven crossings, featuring stick, Lissajous, lattice, torus, petal, and pretzel conformations. Constructing a 3D knot model that's actually printable can be 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 design behind these models, visit the MakerHome blog: 0_1 at Day 2673 1 at Day 2684 1 at Day 2695 1 at Day 2725 2 at Day 2736 1 at Day 2756 2 at Day 2766 3 at Day 2857 1 at Day 2867 2 at Day 2897 3 at Day 2907 4 at Day 2917 5 at Day 2957 6 at Day 2967 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.