Prime Link: 8_2_11

thingiverse

The prime link 8_2_11, shown in both thin and thick versions, is displayed within a tube of constant radius, pulled tight. The reduced tube size aids visibility of crossings. These models are easier to print with less support material. For detailed information about this knot, visit its page at Knot Atlas (http://katlas.math.toronto.edu/L8a5). To understand more about tight knots, refer to Wikipedia (http://en.wikipedia.org/wiki/Ropelength), and for ropelength data, check Jason Cantarella's site (http://www.jasoncantarella.com/wordpress/papers/). A movie of this prime link tightening is available at http://www.jasoncantarella.com/movs. This knot model was created by RidgeRunner, a free software program that minimizes knot length while maintaining a tube structure. RidgeRunner can be accessed at http://www.jasoncantarella.com/wordpress/software/ridgerunner/. Note that different function minimization could yield alternative shapes for this topological knot.