Figure 10
Circle packings for tenfold twins (n = 9, m = 10) of varying packing density η. Shown are the cases μ = 1 (top left, η = 0.234), μ = 2 (top right, η = 0.477) and μ = 3 (bottom left, η = 0.140), in comparison with a sunflower head consisting of 90 florets (bottom right, η = 0.546). The densest possible arrangement of 90 circles within a circle [not shown here, but depicted by Lubachevsky & Graham (1997)] has a packing density of η = 0.809. |