  We demonstrate that the technology of Radin forcing can be used to transfer
compactness properties at a weakly inaccessible but not strong limit cardinal
to a strongly inaccessible cardinal.
  As an application, relative to the existence of large cardinals, we construct
a model of set theory in which there is a cardinal $\kappa$ that is
$n$-$d$-stationary for all $n\in \omega$ but not weakly compact. This is in
sharp contrast to the situation in the constructible universe $L$, where
$\kappa$ being $(n+1)$-$d$-stationary is equivalent to $\kappa$ being
$\mathbf{\Pi}^1_n$-indescribable. We also show that it is consistent that there
is a cardinal $\kappa\leq 2^\omega$ such that $P_\kappa(\lambda)$ is
$n$-stationary for all $\lambda\geq \kappa$ and $n\in \omega$, answering a
question of Sakai.
