Prime Knot: 8_8
thingiverse
The prime knot 8_8 model demonstrates tight knots when tied in a constant radius tube, with a thinner version for better visibility of crossings and a thicker one at full scale. The Knot Atlas (http://katlas.math.toronto.edu/wiki/8_8) offers more information on this prime knot. Created by the free software RidgeRunner (http://www.jasoncantarella.com/wordpress/software/ridgerunner), it minimizes knot length while maintaining a tubular structure. Different functions can yield alternative knot shapes. For further understanding of ropelength, visit http://en.wikipedia.org/wiki/Ropelength, and for related data, see http://www.jasoncantarella.com/wordpress/papers/. Witness the tightening process in a movie available at http://www.jasoncantarella.com/movs.
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