\left\{{a(\beta)^2\over v(1)^3} \left(
{I_{\scriptscriptstyle A}\over \varepsilon\phi^2} + {\varepsilon 
I_{\scriptscriptstyle B} \over (1-\phi)^2} \right)\right\}^{1/3},$$ where [@mmnote] $$f_0 = \left({27 \pi^2\over 32}\right)^{1/3} \Omega^{1/3} \gamma^{2/3} 
(n_{\scriptscriptstyle A} n_{\scriptscriptstyle B})^{1/3}
%% \left[{\Omega_{\scriptscriptstyle A} \Omega_{\scriptscriptstyle B}\over
%% R_{\scriptscriptstyle A}^2  R_{\scriptscriptstyle B}^2 }\right]^{1/6}
\left(\ell_{\scriptscriptstyle A} \ell_{\scriptscriptstyle B}\right)^{1/6}
\label{eq:f0}$$ is the free energy of a symmetric $(\varepsilon=1)$ lamellar phase.

Composite structures
--------------------

The procedure above applies to a single wedge. For the classical cylinder and sphere geometries with circular (spherical) unit cells, each wedge is identical. For non-circular unit cells and for the complex geometries of bicontinuous phases, we must assemble the structure from many different wedges and minimize over the scale factor for the entire structure. The average free energy per chain $f_{tot}$ of a structure with many distinct wedges is $$f_{tot} = {\sum_{\alpha} f_{\alpha} dV_{\alpha}\over V}, \label{eq:fsum}$$ where $f_{\alpha}$ is the free energy per molecule in wedge $\alpha$ of volume $dV_{\alpha}$, and $$V = \sum_{\alpha} dV_{\alpha}$$ is the volume of the structure. We choose a single scale factor $R_0$ to determine the size of the whole structure. Each wedge $\alpha$ has its own area and volume functions $a_{\alpha}(\beta_{\alpha})$ and $v_{\alpha}(\beta_{\alpha})$, where the position of the dividing surface of each wedge, $\beta_{\alpha}\equiv z_{d\alpha}/R_{\alpha}$, is determined by 