Prime Link: 8_4_2

thingiverse

The prime link 8_4_2 is showcased in various versions, with a constant radius tube tied tautly. The slim version features a halved-sized tube for enhanced visibility of crossings, while the thick one exhibits its full scale. These models are more convenient to print, requiring less support material. For further details on this prime link, refer to its page in the Knot Atlas (http://katlas.math.toronto.edu/L8n7). This unique knot shape is a product of RidgeRunner, a free software available at http://www.jasoncantarella.com/wordpress/software/ridgerunner/, which uses numerical algorithms to minimize the knot's length while maintaining a tube around it. Different functions minimization results in distinct shapes for the model. The linked movie demonstrates this prime link tightening at http://www.jasoncantarella.com/movs.