  In this paper, we show that the repetitive cluster category of type $D_n$,
defined as the orbit category $\mathcal{D}^b(\mathrm{mod}K
D_n)/(\tau^{-1}[1])^p$, is equivalent to a category defined on a subset of
tagged edges in a regular punctured polygon. This generalizes the construction
of Schiffler, \cite{S}, which we recover when $p=1$.
