$Du$ oscillates between a value close to $A_1$ and a value close to $B_1$ in the interior of the sample; the boundaries are approximately horizontal and the oscillations become finer approaching the left and right boundary. The total energy, if $L$ and $H$ are sufficiently large compared to $\eps$, is proportional to $\alpha^{4/3}\eps^{2/3}L^{1/3}H$, as predicted by Kohn and Müller.

3.  Horizontal laminate. If the sample is long and thin, then it is convenient to have a single oscillation in most of the sample, which then branches only in small regions close to the left and right boundary. The dominant energy contribution then originates from the single long interface and is proportional to $\alpha\eps 
      L$.

4.  Vertical branching. If $H$ is larger than $L$, then it may be more convenient to use the second rank-one connection and have a vertical branching, qualitatively similar to a 90-degrees rotation of regime BR. The rotation, since we are dealing with a fully nonlinear model, does not bring the matrices $A_1$, $B_1$ to the matrices $\Id\pm \alpha
      e_1\otimes e_2$, but instead leaves a second-order perturbation, which generates an additional energy cost proportional to $\alpha^4LH$ (see discussion in Lemma \[lemmaUBK1\] for details). Therefore, this regime can 