10 Hierarchical k$_{B}$T$_{c}$/J p$_{c}$ Multicritical Point lattice ( p = 1 / 2) ( T = 0) Cell 1(b) 1 . 112(2) 0 . 760(1) ( k$_{B}$T$_{c}$/J ) = 1 . 620(2); p$_{c}$ = 0 . 745(2) Cell 1(c) 2 . 515(2) 0 . 667(2) ( k$_{B}$T$_{c}$/J ) = 2 . 836(2); p$_{c}$ = 0 . 664(2) TABLE II: Values of typical critical points in the phase diagrams of the Ising SG, on the hier- archical lattices defined by unit cells of Figs. 1(b) and 1(c), for couplings following a bimodal distribution [Eq. (3)]: critical temperature for a symmetric distribution, zero-temperature criti- cal point separating phases SG and F , and coordinates of the multicritical point where the three critical frontiers meet. The error bars refer to the usual approach to criticality characteristic of the RG technique. for Ising SGs on lattices of higher dimensions, the present estimate for the symmetric bimodal distribution is slightly below the one obtained through series expansions on the five-dimensional hypercubic lattice, ( k$_{B}$T$_{c}$/J ) ≈ 2 . 57 [39]. To conclude, we have investigated nearest-neighbor-interaction Ising spin glasses de- fined on three different hierarchical lattices, belonging to a family of Wheatstone-Bridge lattices, characterized by fractal dimensions D ≈ 2 . 32 , 3 . 58 , and 4 . 81. The interactions among pairs of spins were chosen from either a Gaussian, or a bimodal ( ± J ), non-centered distribution. Through calculations of the stiffness exponent, we have shown that the spin-glass lower critical dimension in these lattices should be greater than 2 . 32 . Finite- temperature spin-glass phases were found for the lattices of fractal dimension D ≈ 3 . 58 and D ≈ 4 . 81. In the former case, whose hierarchical lattice is constructed as an approx- imation to the cubic lattice, the estimates of spin-glass critical temperatures associated with zero-centered Gaussian and bimodal distributions are very close to the most recent estimates from extensive numerical simulations carried on the cubic lattice. Phase dia- grams were obtained for couplings following non-centered distributions – which are not entirely known, up to the moment, for spin-glass models on Bravais lattices – either for J$_{0}$ ≥ 0 in the case of the Gaussian distribution, or 1 / 2 ≤ p ≤ 1 in the case of the bimodal distribution; these phase diagrams are expected to represent good approximations for the corresponding models on Bravais lattices.