{"url":"/dataset/trefoil100","name":"Trefoil100","full_name":null,"description_markdown":"Trefoil100 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. Trefoil100 contains 100 tangled embeddings of the [trefoil knot](https://en.wikipedia.org/wiki/Trefoil_knot).\r\n\r\nSource: [http://www.cs.cmu.edu/~kmcrane/Projects/RepulsiveCurves/index.html](http://www.cs.cmu.edu/~kmcrane/Projects/RepulsiveCurves/index.html)\r\n\r\nImage source: [http://www.cs.cmu.edu/~kmcrane/Projects/RepulsiveCurves/index.html](http://www.cs.cmu.edu/~kmcrane/Projects/RepulsiveCurves/index.html)","description_withheld":null,"homepage":"http://www.cs.cmu.edu/~kmcrane/Projects/RepulsiveCurves/index.html","introduced_date":"2020-06-14","introduced_date_note":null,"introduced_by":{"paper":null,"title":"Repulsive Curves","first_author":null,"url":null},"license":{"name":"Unknown","url":null},"modalities":[],"tasks":[],"languages":[],"variants":["Trefoil100"],"data_loaders":[],"num_papers_in_archive":1,"source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28"},"benchmarks":[],"papers_with_a_benchmark_row":[],"syntology_totals":{"read_at":"2026-09-24T18:15:14+00:00","papers_with_samples":0,"samples_harvested":0,"samples_ran":0,"samples_unverified":0,"pointer_only_for_licence":0,"papers_with_no_sample_that_ran":0,"note":"the per-paper counts above, summed; not a rate"},"papers_note":"The archive never published its papers-using-dataset list; these are papers with a leaderboard row on this dataset's benchmarks."}