Prime Link: 8_2_2

thingiverse

The prime link 8_2_2 is depicted in two versions: thin and thick, both tied within a tube of constant radius. The thin version reduces the tube size to better visualize crossings while the thick version showcases the full-scale tube. These models are simpler to print with minimal support material. Learn more about this prime link by visiting its Knot Atlas page (http://katlas.math.toronto.edu/L8a12). For insights on tight knots, refer to Wikipedia (http://en.wikipedia.org/wiki/Ropelength). Discover ropelength data at Jason Cantarella's website (http://www.jasoncantarella.com/wordpress/papers/). To visualize the prime link tightening, check out the movie on this site (http://www.jasoncantarella.com/movs). This knot shape was generated using RidgeRunner, a free software available at http://www.jasoncantarella.com/wordpress/software/ridgerunner/. RidgeRunner uses an algorithm to minimize the knot's length while maintaining a tube around it, and this is just one of many possible shapes for this topological knot.