Prime Knot: 7_2

thingiverse

This text demonstrates a prime knot, specifically 7_2, tied and tightened within a constant-radius tube. The thin version has reduced tube size to enhance visibility of crossings, while the thick version displays full-scale tubing. These models are easier to print with minimal support material. For more information about the 7_2 prime knot, visit its Knot Atlas page at http://katlas.math.toronto.edu/wiki/7_2. This unique shape is created by RidgeRunner, a free software available at http://www.jasoncantarella.com/wordpress/software/ridgerunner/, which minimizes the knot's length while preserving a tube around it. Different functions can be optimized to yield varied knot shapes. To witness this prime knot tightening, view the movie at http://www.jasoncantarella.com/movs.