Prime Link: 7_2_2

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This text illustrates a prime link 7_2_2 within a constant-radius tube, presented in both thin and thick versions. The reduced size helps visualize crossings while requiring less support material. For more details on this knot, visit its Knot Atlas page (http://katlas.math.toronto.edu/wiki/L7a5). To learn about tight knots and ropelength data, refer to Wikipedia (http://en.wikipedia.org/wiki/Ropelength) and Jason Cantarella's website (http://www.jasoncantarella.com/wordpress/papers/) respectively. A movie showcasing the prime link tightening is available on Cantarella's site (http://www.jasoncantarella.com/movs). The knot model was generated using RidgeRunner, a free software accessible at http://www.jasoncantarella.com/wordpress/software/ridgerunner/. This program minimizes the knot's length while maintaining a surrounding tube by employing a numerical algorithm. Various functions could yield different knot shapes.