Knot128

Knot128 is a dataset to test knot untangling algorithms, i.e., highly-tangled configurations that can be difficult to smooth out into a canonical knot embedding. Knot128 is comprised of knots from 128 different isotopy classes; for each class, a tangled embedding, and a canonical embedding are provided.

Source: http://www.cs.cmu.edu/~kmcrane/Projects/RepulsiveCurves/index.html

Image source: http://www.cs.cmu.edu/~kmcrane/Projects/RepulsiveCurves/index.html