Knots with Exactly 10 Sticks

16 Sep 2019 · Ryan Blair, Thomas D. Eddy, Nathaniel Morrison, Clayton Shonkwiler ·

We prove that the knots $13n_{592}$ and $15n_{41,127}$ 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.