  The frustrated q-state Potts model is solved exactly on a hierarchical
lattice, yielding chaos under rescaling, namely the signature of a spin-glass
phase, as previously seen for the Ising (q=2) model. However, the ground-state
entropy introduced by the (q>2)-state antiferromagnetic Potts bond induces an
escape from chaos as multiplicity q increases. The frustration versus
multiplicity phase diagram has a reentrant (as a function of frustration)
chaotic phase.
