Arrangements of three to six cubes with maximum disorientation angles

The well-known problem of determining the maximum possible disorientation angle of two cubes is extended to groups of three to six cubes. This problem is considered here to allow identification of specific arrangements of grains with a cubic structure at triple-line or quadruple junctions in polycrystals. The minimum disorientation angle between cubes in the group is defined as the characteristic disorientation angle θcd of the group. The maximum values of θcd and the arrangements of cubes giving the maximum θcd are determined for groups of three to six cubes.