The Wigner-Seitz cell of a lattice in n-dimensional space displays the
complete point group of such a lattice. The vertices of the cell when
projected onto pseudo space can serve as the outer shape of acceptanc
e domain or motif. This general procedure leads to acceptance domain o
r motif identical to those discussed in literature for primitive ortho
gonal hyperlattices. Example of 4d non-orthogonal hyperlattices corres
ponding to 12-fold symmetry will be considered. It will be shown that
the first Wigner-Seitz cell degenerates into more than one shape in 2d
pseudo space and can serve as a natural partition of the motif. Follo
wing a parallel procedure, the consequence of projection of first 4d B
rillouin zone will also be discussed.