A new and powerful mean field scheme is presented. It maps to a one-dimensional finite closed chain in an external field. The chain size accounts for lattice topologies. Moreover, lattice connectivity is rescaled according to the Galam–Mauger law recently obtained in percolation theory. The associated self-consistent mean-field equation of state yields critical temperatures which are within a few percent of exact estimates. Results are obtained for a large variety of lattices and dimensions. The Ising lower critical dimension for the onset of phase transitions is dl=1+2/q. For the Ising hypercube it becomes the Golden number dl=1+5/2. The scheme recovers the exact result of no long range order for nonzero temperature Ising triangular antiferromagnets.