Prime Link: 8_2_10

thingiverse

The prime link 8_2_10 model is displayed in two versions, with a constant radius tube pulled tight. The thin version has a reduced tube size to highlight crossings, while the thick version is at full scale. Both versions require less support material during printing. For more details on this knot, visit its Knot Atlas page (http://katlas.math.toronto.edu/L8a2). RidgeRunner software, available at http://www.jasoncantarella.com/wordpress/software/ridgerunner/, creates these shapes by minimizing knot length while maintaining a tubular structure. Different functions can result in varied models for the same topological knot. A movie of this prime link tightening can be found at http://www.jasoncantarella.com/movs, and further information on tight knots and ropelength data is available at http://en.wikipedia.org/wiki/Ropelength and http://www.jasoncantarella.com/wordpress/papers/, respectively.