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In this paper, we assume that $G$ is a finitely generated torsion freenon-elementary Kleinian group with $\Omega(G)$ nonempty. We show that themaximal number of elements of $G$ that can be pinched is precisely the maximalnumber of rank 1 parabolic subgroups that any group isomorphic to $G$ maycontain. A group with this largest number of rank 1 maximal parabolicsubgroups is called {\it maximally parabolic}. We show such groups exist. Westate our main theorems concisely here.  Theorem I. The limit set of a maximally parabolic group is a circle packing;that is, every component of its regular set is a round disc.  Theorem II. A maximally parabolic group is geometrically finite.  Theorem III. A maximally parabolic pinched function group is determined upto conjugacy in $PSL(2,{\bf C})$ by its abstract isomorphism class and itsparabolic elements.

Geometric finiteness and uniqueness for Kleinian groups with circle packing limit sets.