Prime Knot: 8_15

thingiverse

A prime knot 8_15 model demonstrates tightness within a constant-radius tube, with a thinner version half-sized for better visibility. The thicker version appears at full scale and requires less support material during printing. For more insights into this prime knot, visit its Knot Atlas page (http://katlas.math.toronto.edu/wiki/8_15), while further information on tight knots can be found on Wikipedia (http://en.wikipedia.org/wiki/Ropelength). Rope-length data is available at Jason Cantarella's website (http://www.jasoncantarella.com/wordpress/papers/). Observe this prime knot tightening in a movie on the same site (http://www.jasoncantarella.com/movs). This intricate knot shape is generated by RidgeRunner, a freely accessible software that minimizes knot length while maintaining a tube around it; different shapes arise when other functions are minimized. Download RidgeRunner at http://www.jasoncantarella.com/wordpress/software/ridgerunner/.