  The stick number and the edge length of a knot type in the simple hexagonal
lattice (sh-lattice) are the minimal numbers of sticks and edges required,
respectively, to construct a knot of the given type in sh-lattice. By
introducing a linear transformation between lattices, we prove that for any
given knot both values in the sh-lattice are strictly less than the values in
the cubic lattice. Finally, we show that the only non-trivial 11-stick knots in
the sh-lattice are the trefoil knot ($3_1$) and the figure-eight knot ($4_1$).
