  We apply the theory of ground states for classical, finite, Heisenberg spin
systems previously published to a couple of spin systems that can be considered
as finite models $K_{12},\,K_{15}$ and $K_{18}$ of the AF Kagome lattice. The
model $K_{12}$ is isomorphic to the cuboctahedron. In particular, we find
three-dimensional ground states that cannot be viewed as resulting from the
well-known independent rotation of subsets of spin vectors. For a couple of
ground states with translational symmetry we calculate the corresponding wave
numbers. Finally we study the model $K_{12w}$ without boundary conditions which
exhibits new phenomena as, e.~g., two-dimensional families of three-dimensional
ground states.
