Composite Knot: 3_1 # 5_1 (square and granny versions)
thingiverse
This composite knot 31#_5_1 model demonstrates two versions - 'square' and 'granny.' Both left and right-handed forms exist. The knots are positioned in a constant radius tube, pulled tight with thin version half-sized for visibility and thick version at full scale, reducing support material. Knot modeling is achieved through Jason Cantarella's RidgeRunner software available at http://www.jasoncantarella.com/wordpress/software/ridgerunner/. The program numerically minimizes knot length within a tube by optimizing various functions. This model is only one of many possible shapes for the knot. For further information on tight knots, ropelength data, and movies of this composite knot tightening, visit respective links in the original text.
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