Composite Knot: 3_1 # 5_2 (square and granny versions)
thingiverse
This composite knot 31#_5_2 model demonstrates various versions based on left and right-handed splicing, termed as "square" and "granny." The knots are tied within a constant radius tube, either halved for visibility or full-scale. RidgeRunner software, available at http://www.jasoncantarella.com/wordpress/software/ridgerunner/, creates these models by minimizing the knot length while maintaining a tubular structure. Note that other function minimizations will yield distinct shapes. For more comprehensive information on tight knots and ropelength data, visit http://en.wikipedia.org/wiki/Ropelength and http://www.jasoncantarella.com/wordpress/papers/, respectively. To visualize the knot's tightening process, access http://www.jasoncantarella.com/movs.
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