Notice the continuity between the Inferior Cerebellar Peduncle and the white matter of the cerebellum. The Juxtarestiform Body reciprocally connects the vestibular nuclei with the cerebellum.
The axons of the Superior Cerebellar Peduncles arise in the Deep Cerebellar Nuclei and project out of the cerebellum to brainstem and thalamus. Note that the SCPs form the roof of the 4th ventricle.