Prime Link: 8_2_14

thingiverse

The prime link 8_2_14 is depicted in two versions, thin and thick, within a constant radius tube, pulled taut. The thin version features a halved-sized tube to enhance visibility of crossings. All versions are easier to print with minimal support material. The knot's details can be further explored on the Knot Atlas (http://katlas.math.toronto.edu/L8a7) page, while information about tight knots is available on Wikipedia (http://en.wikipedia.org/wiki/Ropelength). Rope length data can be found at Jason Cantarella's website (http://www.jasoncantarella.com/wordpress/papers/). A movie of this prime link tightening can be viewed on Jason Cantarella's website as well (http://www.jasoncantarella.com/movs). These knot models are generated by RidgeRunner, a free software available at http://www.jasoncantarella.com/wordpress/software/ridgerunner/. RidgeRunner uses an algorithm to minimize the length of a knot while preserving a tube around it, and different functions can yield diverse shapes for the model.