#### Vol. 8, No. 3, 2015

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Stick numbers in the simple hexagonal lattice

### Ryan Bailey, Hans Chaumont, Melanie Dennis, Jennifer McLoud-Mann, Elise McMahon, Sara Melvin and Geoffrey Schuette

Vol. 8 (2015), No. 3, 503–512
##### Abstract

In the simple hexagonal lattice, bridge number is used to establish a lower bound on stick numbers of knots. This result aids in giving a new proof that the minimal stick number is 11. In addition, the authors establish upper bounds for the stick number of a composite knot. Constructions for $\left(p,p+1\right)$-torus knots and some 3-bridge knots are given requiring one more stick than the lower bound guarantees.

##### Keywords
lattice knots, stick number, composition, bridge number
Primary: 57M50