  Define $QC(n)$ to be the number of quasiplatonic topological actions of the
cyclic group $C_n$ on surfaces of genus at least two. We use formulas of Benim
and Wootton to give an explicit formula for $QC(n)$. In addition, we relate the
number of quasiplatonic topological actions of $C_n$ to the number of regular
dessins d'enfants having $C_n$ as a group of automorphisms.
