Prime Link: 8_2_12

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The prime link 8_2_12 is illustrated in two versions, with a constant radius tube. The thin version showcases crossings more clearly due to its reduced tube size. In contrast, the thick version appears at full scale and requires less support material during printing. For additional information on this specific knot, consult its page on Knot Atlas (http://katlas.math.toronto.edu/L8a4). The knot model was created using RidgeRunner, a free software that minimizes the knot's length while maintaining a tube surrounding it. This numerical algorithm provides only one of many possible shapes for this topological knot, as varying functions could result in different models. To witness the tightening process of this knot, visit the movie available at http://www.jasoncantarella.com/movs. RidgeRunner is accessible for download at its webpage (http://www.jasoncantarella.com/wordpress/software/ridgerunner/).