Prime Link: 4_2_1
thingiverse
This prime link 4_2_1 model is tied in a constant-radius tube, tightened to showcase crossings clearly. In the slim version, the tube halves its size, while the thick one maintains full scale and requires less support material during printing. For more details on this knot, visit its Knot Atlas page (http://katlas.math.toronto.edu/wiki/L4a1). RidgeRunner software, created by Jason Cantarella, generates such knots by minimizing rope length while preserving a tube around the knot; download it at http://www.jasoncantarella.com/wordpress/software/ridgerunner/. The unique shape is due to the specific function chosen for minimization. To visualize this knot tightening, check out the movie on http://www.jasoncantarella.com/movs.
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