Prime Link: 8_3_6

thingiverse

The prime link 8_3_6 model is showcased in a tube of constant radius, tightened to perfection. In thinner version, the tube size is halved for better visibility of crossings. Conversely, the thicker version demonstrates the full-scale tube. These designs require less support material during printing. To learn more about this prime link, visit its Knot Atlas page at http://katlas.math.toronto.edu/L8a19. For information on tight knots, refer to Wikipedia's entry at http://en.wikipedia.org/wiki/Ropelength. For ropelength data, check out Jason Cantarella's website at http://www.jasoncantarella.com/wordpress/papers/. To witness a movie of this prime link tightening, view it on http://www.jasoncantarella.com/movs. This intricate knot structure was generated by RidgeRunner, a free software available at http://www.jasoncantarella.com/wordpress/software/ridgerunner/. RidgeRunner employs numerical algorithms to minimize the knot's length while maintaining a tube around it. The displayed shape is merely one of numerous possible configurations for this topological knot, as varying functions could yield different models.