Composite Knot: 4_1 # 4_1

thingiverse

This composite knot, 41#_4_1, features two intertwined figure-8 knots. In the thin version, a tube's radius is halved to enhance visibility. The thick version maintains full scale. These are ideal for printing with minimal support material. For more comprehensive details on tight knots, visit ropelength (http://en.wikipedia.org/wiki/Ropelength). Rope-length data can be found at Jason Cantarella's website. Witness the knot tightening process in a movie on his site as well (http://www.jasoncantarella.com/movs). This intricate knot is a product of RidgeRunner, a free program accessible at http://www.jasoncantarella.com/wordpress/software/ridgerunner. It employs a numerical algorithm to minimize the rope length while retaining a tube around the knot. Remember, this shape is just one of many possible forms for this topological knot, as altering the minimized function would yield alternative models.