I will talk a method to construct normal subgroups isomorphic to non-free right-angled Artin groups. This construction recovers, expands, and makes constructive the result of Dahmani, Guirardel, and Osin about free normal subgroups generated by a high power of a pseudo-Anosov. We do this by creating a version of their "windmill" construction tailor-made for the projection complexes introduced by Bestvina, Bromberg, and Fujiwara. This is joint work with Johanna Mangahas and Dan Margalit.