Prime Link: 8_2_13

thingiverse

This prime link, specifically 8_2_13, features in a tube of consistent radius and tightened form. The slim version showcases reduced tubing to enhance crossing view. Conversely, the thick version exhibits a full-scale tube. These are advantageous for minimal support material during printing. For more information on this prime knot, check its Knot Atlas page (http://katlas.math.toronto.edu/L8a1). The model is generated using RidgeRunner software, freely accessible at http://www.jasoncantarella.com/wordpress/software/ridgerunner/. This program minimizes knot length while preserving a tube surrounding the knot via numerical algorithms. Note that this shape is just one possible manifestation of the topological knot; altering the function minimized would yield different model shapes. To witness the tightening process of this prime link, visit http://www.jasoncantarella.com/movs.