  We prove that Dirichlet stereohedra for non-cubic crystallographic groups in
dimension 3 cannot have more than 80 facets. The bound depends on the
particular crystallographic group considered and is above 50 only on 9 of the
97 affine conjugacy classes of them.
  We also construct Dirichlet stereohedra with 32 and 29 facets for a hexagonal
and a tetragonal group, respectively.
