Prime Knot: 8_3
thingiverse
This prime knot 8_3's model demonstrates its tightened form within a tube of constant radius. The thin version features a halved-size tube, enhancing visibility at crossings, while the thick version appears at full scale, requiring less support material during printing. To delve deeper into this prime knot or learn about tight knots and ropelength data, explore its page in the Knot Atlas (http://katlas.math.toronto.edu/wiki/8_3) and related Wikipedia entries. Visualize a movie of this prime knot tightening at http://www.jasoncantarella.com/movs. The knot's unique shape results from the RidgeRunner software, a freely accessible program found at http://www.jasoncantarella.com/wordpress/software/ridgerunner/. This numerical algorithm minimizes the knot's length while preserving a tube around it; varying the function optimized produces different model shapes.
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