  A family of fractal arrangements of circles is introduced for each imaginary
quadratic field $K$. Collectively, these arrangements contain (up to an affine
transformation) every set of circles in the extended complex plane with
integral curvatures and Zariski dense symmetry group. When that set is a circle
packing, we show how the ambient structure of our arrangement gives a geometric
criterion for satisfying the almost local-global principle. Connections to the
class group of $K$ are also explored. Among them is a geometric property that
guarantees certain ideal classes are group generators.
