Composite Link: 2_2_1 # 5_2 (left and right-handed versions)

thingiverse

This composite link, 2_21#_5_2, has two topologically distinct versions due to the chiral nature of 5_2. Both models are depicted with tubes of constant radius, pulled tight. The thin version features a halved tube to highlight crossings, while the thick version displays a full-scale tube. These models are easier to print with minimal support material. For more information on knot tightening and ropelength data, visit http://www.jasoncantarella.com/wordpress/papers/, and for a movie of this composite link tightening, go to http://www.jasoncantarella.com/movs. This unique knot shape is created by RidgeRunner software, which can be downloaded freely from http://www.jasoncantarella.com/wordpress/software/ridgerunner/. The software uses a numerical algorithm to minimize the knot's length while maintaining a tube around it, resulting in various shapes depending on the function being minimized.