A carpet is a metric space homeomorphic to the Sierpinski carpet. We characterize, within a certain class of examples, non-self-similar carpets supporting curve families of nontrivial modulus and supporting Poincare inequalities. Our results yield ne
w examples of compact doubling metric measure spaces supporting Poincare inequalities: these examples have no manifold points, yet embed isometrically as subsets of Euclidean space.
