Prime Knot: 8_11
thingiverse
This text illustrates a prime knot 8_11, showcased in two versions - thin and thick. The tube's size is adjusted to enhance visibility of crossings. RidgeRunner software, available at http://www.jasoncantarella.com/wordpress/software/ridgerunner/, creates these models by minimizing knot length within a tubular structure. Note that different functions could yield distinct shapes for the same topological knot. For more information about 8_11, visit http://katlas.math.toronto.edu/wiki/8_11; for tight knots, see http://en.wikipedia.org/wiki/Ropelength; and for ropelength data, consult http://www.jasoncantarella.com/wordpress/papers/. To observe a movie of this prime knot tightening, visit http://www.jasoncantarella.com/movs.
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