Prime Knot: 8_19

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This knot model demonstrates the prime 8_19, tied within a constant-radius tube and tightened. To observe crossings clearly, the thin version halves the tube's size. In contrast, the thick version showcases a full-scale tube, easier to print with minimal support material. For more details about this knot, refer to its Knot Atlas page (http://katlas.math.toronto.edu/wiki/8_19). To understand tight knots further, consult Wikipedia (http://en.wikipedia.org/wiki/Ropelength). The ropelength data can be found at (http://www.jasoncantarella.com/wordpress/papers/). Witness the prime knot's tightening in a movie available at (http://www.jasoncantarella.com/movs). This model was created using RidgeRunner, a free software accessible at (http://www.jasoncantarella.com/wordpress/software/ridgerunner/) that minimizes the knot's length while maintaining a tube around it. Different functions could yield alternative shapes for this topological knot.