I’ve been using Mathematica to analyze data on packomania.com
for packing circles into a circle. More specifically, I’ve looked at the
packing of integer, square root integer, inverse square root integer,
inverse two-thirds power integer and inverse one-fith power radii circles. It appears that
the packing factor (total area of circles/area of circumscribing circle)
goes approximately as pfmax - 1/number of circles. Anyone understand this?
