Composite Link: 2_2_1 # 5_2_1 (both versions)

thingiverse

The composite link 2_21#_5_2_1 has two distinct versions depending on which component of link 5_2_1 the Hopf link 2_21 is attached to. Both are illustrated here. The knot model, created by RidgeRunner software, is tied in a tube of constant radius and tightened via numerical algorithms that minimize its length. This program, available for free at http://www.jasoncantarella.com/wordpress/software/ridgerunner/, offers thinner and thicker versions of the knot in a tubular shape. The thinner version has a reduced tube size to improve visibility at crossings, while the thicker version appears at full scale and requires less support material during printing. For more information on tight knots, visit http://en.wikipedia.org/wiki/Ropelength, and for ropelength data, refer to http://www.jasoncantarella.com/wordpress/papers/. To watch a movie of this composite link tightening, go to http://www.jasoncantarella.com/movs.