Prime Link: 8_2_15

thingiverse

The prime link 8_2_15, depicted in two versions - thin and thick, is displayed within a constant radius tube when pulled tight. The tube's scale reduces to half for better visibility of crossings in the slim version. These models require minimal support material during printing. For further information on this prime knot, visit its Knot Atlas page at http://katlas.math.toronto.edu/L8n2. RidgeRunner software, accessible at http://www.jasoncantarella.com/wordpress/software/ridgerunner/, generates these shapes using an algorithm that minimizes knot length while maintaining a tube structure. Note that different functions can produce alternative knot shapes. To witness this prime link tightening, view the movie at http://www.jasoncantarella.com/movs.