  Riemann's Existence Theorem gives the following bijections: (1) Isomorphism
classes of Belyi maps of degree $d$. (2) Equivalence classes of generating
systems of degree $d$. (3) Isomorphism classes of dessins d'enfants with $d$
edges. In previous work, the first author and collaborators exploited the
correspondence between Belyi maps and their generating systems to provide
explicit equations for two infinite families of dynamical Belyi maps. We
complete this picture by describing the dessins d'enfants for these two
families.
