Each crystallographic point group exhibits different types of crystallographic symmetry. For computational efficiency, only the unique Miller planes for a particular point group are computed. These are then cast into the degenerate (full) representation spanning all integer combinations of the possible Miller indices using rules obtained via MaXrd. The number of unique Miller planes for several points groups and varying constraints on the max Miller index are given in Table . For example, computing all combinations of Miller indices up to a max of 3 for the m3m point group involves the computation of 19 unique Miller planes, whereas the triclinic case (no symmetry) involves computation of all 342 combinations. An example of the unique and full planes (truncated) for the m3m point group is shown in Figure and, respectively.