  We prove that for an arbitrary upper semi-continuous function $\phi\colon
G(1,2) \to [0,1]$ there exists a compact set $F$ in the plane such that
$\dim_{\textrm{A}} \pi F = \phi(\pi)$ for all $\pi \in G(1,2)$, where $\pi F$
is the orthogonal projection of $F$ onto the line $\pi$. In particular, this
shows that the Assouad dimension of orthogonal projections can take on any
finite or countable number of distinct values on a set of projections with
positive measure. It was previously known that two distinct values could be
achieved with positive measure. Recall that for other standard notions of
dimension, such as the Hausdorff, packing, upper or lower box dimension, a
single value occurs almost surely.
