The phase behavior and microstructure of copper(II) bis(2-ethylhexyl) sulfo
succinate, Cu(AOT)(2)-isooctane-water, is determined over a wider domain th
an previously used. It is characterized by a rich variety of phases and mic
rostructures. Equilibrium phases consisting of spontaneous thermodynamicall
y stable emulsions in equilibrium with other microstructure phases are obse
rved. These spontaneous emulsions are composed of supra-aggregates, lamella
r spherulites in which the interior and exterior are phases of interconnect
ed cylindrical nanostructures. In another part of the phase diagram, clumps
of interdigitated micelles are surrounded by an interconnected cylinder ph
ase. The phase boundaries emerge qualitatively from elementary consideratio
ns that require only notions of local and global packing constraints.