Prime Link: 7_2_4

thingiverse

This prime link, known as 7_2_4, showcases various versions tied within tubes of constant radius. The thin version reduces the tube size for clarity, while the thick version appears at full scale. These knots are easier to print with minimal support material. For more details about this specific prime link, visit its Knot Atlas page (http://katlas.math.toronto.edu/wiki/L7a3). The models result from the numerical algorithm of RidgeRunner software, which minimizes ropelength while maintaining a tube around the knot. This program is available for free at http://www.jasoncantarella.com/wordpress/software/ridgerunner/. Remember, this specific shape is just one possibility for the topological knot; altering the function being minimized would result in different model shapes. To witness a movie of the prime link tightening, visit http://www.jasoncantarella.com/movs.