Figure 1
Schematic drawing, shown in the parameter space (x, y), of symmetries of the cyclic extended bases generated by a unit vector. Any point on the disc corresponds to symmetry (order 6, two free parameters). Points on solid lines lead to tetrahedral symmetry (order 24, one free parameter). Special points without free parameters give other cubic groups: cP, cF, cI (order 48) and the icosahedral group (order 120). |