  We study the graphs associated with Vicsek sets in higher dimensional
settings. First, we study the eigenvalues of the Laplacians on the
approximating graphs of the Vicsek sets, finding a general spectral decimation
function. This is an extension of earlier results on two dimensional Vicsek
sets. Second, we study the Vicsek set lattices, which are natural analogues to
the Sierpinski lattices. We have a criterion when two different Vicsek set
lattices are isomorphic.
