  We give a full description for the shape of the classical (2+1)\Dim
Solid-On-Solid model above a wall, introduced by Temperley (1952). On an
$L\times L$ box at a large inverse-temperature $\beta$ the height of most sites
concentrates on a single level $h = \lfloor (1/4\beta)\log L\rfloor$ for most
values of $L$. For a sequence of diverging boxes the ensemble of level lines of
heights $(h,h-1,...)$ has a scaling limit in Hausdorff distance iff the
fractional parts of $(1/4\beta)\log L$ converge to a noncritical value. The
scaling limit is explicitly given by nested distinct loops formed via
translates of Wulff shapes. Finally, the $h$-level lines feature $L^{1/3+o(1)}$
fluctuations from the side boundaries.
