  Mutation of torsion pairs in triangulated categories and its combinatorial
interpretation for the cluster category of Dynkin type $A_n$ and of type
$A_\infty$ have been studied by Zhou and Zhu. In this paper we present a
combinatorial model for mutation of torsion pairs in the cluster category of
Dynkin type $D_n$, using Ptolemy diagrams of Dynkin type $D_n$ which were
introduced by Holm, J{\o}rgensen and Rubey.
