content_image/375159.jpg content_image/375158.jpg
counterintuitive presence of this feature is related to the aforementioned fact that in any dimension d , no spherical window of radius R ≤ τ centered on a central nonoverlapping sphere of unit diameter may encircle more sphere centers than the number (plus one) that can be placed on the encircling sphere’s surface. Circular cavities around the fixed central disk appear in many DLP optimal packings, including those for N = 24, 45 and 95 disks, as illustrated in Fig. 12. There are 9, 8 and 7 disks, respectively, forming the walls of the cavities in the three packings in Fig. 12. 

Two particularly notable DLP optimal packings that include a cavity enclosing the fixed central disk are the N = 40 and N = 66 packings shown in Fig. 13. These packings are 

<img src='content_image/375159.jpg'>

<img src='content_image/375158.jpg'>

composed of layers of distorted rings, where the distorted rings appear as eye-like closed curves of varying curvature with each successive layer from the center more circular than the last. It is curious that even though the only shape imposed upon the packings, in the 

