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for k = 1 . . . 5. The characteristics of this class include that each packing has a disk fixed at the center of the encompassing disk, and that all curved hexagonal packings belong to point group C$_{6}$$_{h}$ , meaning that they are invariant under 60 ◦ rotation or inversion through the origin. Further, for k ≥ 4, for each k there are a finite number of degenerate packings of equal density (for 1 ≤ k ≤ 3, there is a unique densest packing). The degenerate packings 

