English

Knots with Exactly 10 Sticks

Geometric Topology 2020-11-23 v1

Abstract

We prove that the knots 13n59213n_{592} and 15n41,12715n_{41,127} both have stick number 10. These are the first non-torus prime knots with more than 9 crossings for which the exact stick number is known.

Cite

@article{arxiv.1909.06947,
  title  = {Knots with Exactly 10 Sticks},
  author = {Ryan Blair and Thomas D. Eddy and Nathaniel Morrison and Clayton Shonkwiler},
  journal= {arXiv preprint arXiv:1909.06947},
  year   = {2020}
}

Comments

9 pages, 4 figures

R2 v1 2026-06-23T11:16:04.305Z