Prime Knot: 7_3

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This text illustrates a prime knot, specifically 7_3, tied within a constant radius tube and tightened. The thin version reduces the tube size to showcase crossings, while the thick version maintains the full scale. These designs are simpler to print with minimal support material. For more details on this particular knot, visit its Knot Atlas page (http://katlas.math.toronto.edu/wiki/7_3). To learn about tight knots, refer to Wikipedia (http://en.wikipedia.org/wiki/Ropelength), and for ropelength data, check Jason Cantarella's website (http://www.jasoncantarella.com/wordpress/papers/). For a visual demonstration of this knot tightening, explore the movies section on Cantarella's site (http://www.jasoncantarella.com/movs). The intricate model was created using RidgeRunner software, which is accessible for free at http://www.jasoncantarella.com/wordpress/software/ridgerunner/. This program employs a numerical algorithm to minimize knot length while preserving the tube around it. Other functional minimization can result in varied knot shapes.