  A nonlocal diffuse interface model is used to study bubble assemblies in
ternary systems. As model parameters vary, a large number of morphological
phases appear as stable stationary states. One open question related to the
polarity direction of double bubble assemblies is answered numerically.
Moreover, the average size of bubbles in a single bubble assembly depends on
the sum of the minority constituent areas and the long range interaction
coefficients. One identifies the ranges for area fractions and the long range
interaction coefficients for double bubble assemblies.
