i will start with a basic introduction to planar algebras. i will then discuss recent joint work with scott morrison (arxiv:1208.3637) and recent joint work with stephen bigelow (arxiv:1208:1564). with morrison, we construct a new exotic subfactor planar algebra using bigelow's jellyfish algorithm. with bigelow, we determine exactly when a planar algebra has a presentation by generators and jellyfish relations.