  We give a simple example showing that a knot or link diagram that lies in the
${\mathbb{Z}}^2$ lattice is not necessarily the projection of a lattice stick
knot or link in the ${\mathbb{Z}}^3$ lattice, and we give a necessary and
sufficient condition for when a knot or link diagram that lies in the
${\mathbb{Z}}^2$ lattice is in fact the projection of a lattice stick knot or
link.
