Prime Knot: 8_7

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The prime knot 8_7 model showcases tightness inside a constant radius tube, with a thinner version reducing its size to enhance visibility at crossings. The thicker version displays full scale tubes, easier to print with minimal support materials. The Knot Atlas (http://katlas.math.toronto.edu/wiki/8_7) provides further information about this prime knot. Tight knots' details can be found on Wikipedia (http://en.wikipedia.org/wiki/Ropelength), while ropelength data is available at Jason Cantarella's website (http://www.jasoncantarella.com/wordpress/papers/). A movie of the prime knot tightening is accessible on (http://www.jasoncantarella.com/movs). The creation of this model is attributable to RidgeRunner, a free software available at (http://www.jasoncantarella.com/wordpress/software/ridgerunner/), which utilizes a numerical algorithm for knot length minimization while retaining the tube around the knot. Note that this is just one of multiple possible shapes for this topological knot, as varying functions could result in distinct model configurations.