  We study some particular cases of the $n$-well problem in two-dimensional
linear elasticity. Assuming that every well in
$\mathcal{U}\subset\mathbb{R}^{2\times 2}_\text{sym}$ belong to the same
two-dimensional affine subspace, we characterize the symmetric lamination
convex hull $L^e(\mathcal{U})$ for any number of wells in terms of the
symmetric lamination convex hull of all three-well subsets contained in
$\mathcal{U}$. For a family of four-well sets where two pairs of wells are
rank-one compatible, we show that the symmetric lamination convex and
quasiconvex hulls coincide, but are strictly contained in its convex hull
$C(\mathcal{U})$. We extend this result to some particular configurations of
$n$ wells. Most of the proofs are constructive, and we also present explicit
examples.
