(a) (b) (c) FIG. 8: DLP optimal packings that are minor deviations from “wedge hexagonal” packings. (a) N = 84, R$_{min}$ (84) = 4 . 581556 . . . , ( k, p, a ) = (3 , 2 , 1), point group C$_{i}$ . (b) N = 120, R$_{min}$ (120) = 5 . 562401 . . . , ( k, p, a ) = (3 , 3 , 1), point group C$_{i}$ . (c) N = 162, R$_{min}$ (162) = 6 . 539939 . . . , ( k, p, a ) = (3 , 4 , 1), point group C$_{i}$ . In general, the deviations necessary to produce a DLP optimal packings from a wedge hexagonal packing occur in the branches, and to a lesser degree, the wedges of the packing, while the core regular hexagon retains perfect six-fold symmetry. The deviations required 18