Prime Knot: 7_7

thingiverse

This 7_7 prime knot model is created using the program RidgeRunner, available at http://www.jasoncantarella.com/wordpress/software/ridgerunner/. The program employs an algorithm to minimize the knot's length while maintaining a constant tube radius. This specific shape is just one of many potential forms for this topological knot, as varying the minimized function would yield different models. For better visualization, a thin version with reduced tube size is provided. RidgeRunner also generates thicker versions at full scale, which require less support material during printing. To learn more about the 7_7 prime knot, visit its page in the Knot Atlas (http://katlas.math.toronto.edu/wiki/7_7), while details on tight knots can be found on Wikipedia (http://en.wikipedia.org/wiki/Ropelength). For ropelength data, refer to Jason Cantarella's website (http://www.jasoncantarella.com/wordpress/papers/). To watch a movie of this prime knot tightening, visit http://www.jasoncantarella.com/movs.