E. Unusual features in select optimal packings FIG. 12: Three examples of DLP optimal packings with circular cavities about the fixed central disk. (a) N = 24, R$_{min}$ (24) = 2 . 425256 ... , point group D$_{3}$$_{h}$ . (b) N = 45, R$_{min}$ (45) = 3 . 374023, point group C$_{1}$ . (c) N = 95, R$_{min}$ (95) = 4 . 958096, point group C$_{1}$ . A prevalent feature found in many of the DLP optimal packings studied is a cavity consisting of a ring of disks enclosing, but not contacting, the fixed central disk. The 22 (a) (b) (c)