  We prove discrete-to-continuum convergence of interaction energies defined on
lattices in the Euclidean space (with interactions beyond nearest neighbours)
to a crystalline perimeter, and we discuss the possible Wulff shapes obtainable
in this way.
  Exploiting the "multigrid construction" of quasiperiodic tilings (which is an
extension of De Bruijn's "pentagrid" construction of Penrose tilings) we adapt
the same techniques to also find the macroscopical homogenized perimeter when
we microscopically rescale a given quasiperiodic tiling.
