Abstract: We construct two convex cocompact groups of isometries of real hyperbolic spaces with limit set a Pontryagin sphere. Both examples arise from right-angled Coxeter groups and admit special subgroups with limit set a Menger curve. One example is in H^4 and the other is 2-generated in H^6, which makes these examples optimal with respect to dimension and rank respectively. This is joint work with S. Douba, G.-S. Lee, and L. Marquis.