Prime Link: 8_2_9

thingiverse

The prime link 8_2_9 model features a constant-radius tube pulled taut, with a smaller version showcasing crossings more clearly and a thicker one requiring less support material. For further details on this knot, visit its Knot Atlas page (http://katlas.math.toronto.edu/L8a3). The knot's shape results from the RidgeRunner software, minimizing length while maintaining a tubular structure; alternative function optimizations can produce different models. Learn more about tight knots at Wikipedia (http://en.wikipedia.org/wiki/Ropelength), and explore ropelength data on Jason Cantarella's website (http://www.jasoncantarella.com/wordpress/papers/). Witness the prime link tightening in a movie available at http://www.jasoncantarella.com/movs. The RidgeRunner program, freely accessible at http://www.jasoncantarella.com/wordpress/software/ridgerunner/, is responsible for generating this knot's shape using numerical algorithms that minimize length while preserving a tubular structure around the knot.