Prime Knot: 8_2

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This text describes a 8_2 prime knot, tied within a constant radius tube and tightened for clearer crossings. A thin version exists with half-sized tubes, while the thick version is at full scale. These models are simpler to print without support material. For more details on this knot, refer to its Knot Atlas page (http://katlas.math.toronto.edu/wiki/8_2). To learn about tight knots and ropelength data, visit Wikipedia (http://en.wikipedia.org/wiki/Ropelength) and Jason Cantarella's site (http://www.jasoncantarella.com/wordpress/papers/), respectively. A movie of this prime knot tightening is also available on Cantarella's site (http://www.jasoncantarella.com/movs). The 3D model was created using RidgeRunner, a free software that minimizes the knot length within a tube. This program is accessible at http://www.jasoncantarella.com/wordpress/software/ridgerunner/. Note that different shapes can be achieved by varying the function being minimized.