  In [M3], Milnor found Tricorn-like sets in the parameter space of real cubic
polynomials. We give a rigorous definition of these Tricorn-like sets as
suitable renormalization loci, and show that the dynamically natural
straightening map from such a Tricorn-like set to the original Tricorn is
discontinuous. We also prove some rigidity theorems for polynomial parabolic
germs, which state that one can recover unicritical holomorphic and
anti-holomorphic polynomials from their parabolic germs.
