Prime Link: 7_2_8

thingiverse

This prime link, specifically 7_2_8, showcases a tightened version within a constant radius tube. The slim variant reduces tube size to emphasize crossings, while the thick version appears at full scale. These knot models require less support material and are designed using the program RidgeRunner, which can be accessed for free at http://www.jasoncantarella.com/wordpress/software/ridgerunner/. RidgeRunner utilizes a numerical algorithm to minimize knot length while maintaining a tube around it. Numerous functions could yield alternative shapes for this topological knot. Further information about this prime link can be found on the Knot Atlas (http://katlas.math.toronto.edu/wiki/L7n2), tight knots on Wikipedia (http://en.wikipedia.org/wiki/Ropelength), and ropelength data at http://www.jasoncantarella.com/wordpress/papers/. A movie showcasing this prime link's tightening process can be viewed at http://www.jasoncantarella.com/movs.