THE STICK NUMBER FOR THE SIMPLE HEXAGONAL LATTICE
Casey Mann, Jennifer McLoud-Mann, David Milan · Journal of Knot Theory and Its Ramifications · 2012
This work is motivated by a paper of Huh and Oh, in which the authors prove that the minimum number of sticks required to form a knot in ℤ3 is 12. In this article the authors prove that the stick number in the simple hexagonal lattice is 11. Moreover, the stick number of the trefoil in the simple hexagonal lattice is 11.