Prime knot: 6_3

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This text demonstrates a prime knot 6_3, visualized in a constant radius tube and tightened to its minimum ropelength. The thin version offers clear crossings by halving the tube size. In contrast, the thick version showcases the full-scale tube. Both versions are printable with minimal support material. For more details on this prime knot, refer to the Knot Atlas (http://katlas.math.toronto.edu/wiki/6_3). To understand tight knots further, explore Wikipedia (http://en.wikipedia.org/wiki/Ropelength). The ropelength data can be found at Jason Cantarella's website (http://www.jasoncantarella.com/wordpress/papers/). A movie of this prime knot tightening is available at (http://www.jasoncantarella.com/movs). The knot model was created using RidgeRunner, a free software that minimizes the knot's length while maintaining a tubular structure around it. This shape is just one possible representation of the topological knot; altering the optimization function would yield different knot models. RidgeRunner can be accessed at (http://www.jasoncantarella.com/wordpress/software/ridgerunner/).