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Knots with Exactly 10 Sticks

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arxiv 1909.06947 v1 pith:ER6NWHDC submitted 2019-09-16 math.GT

classification math.GT
keywords knotsnumberstickcrossingsexactexactlyfirstknown
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abstract

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.

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