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The empirical relation of T_co(K)=2740/<q>_c^4 between the transitiontemperature of optimum doped superconductors T_co and the mean cationic charge<q>_c, a physical paradox, can be recast to strongly support fractal theoriesof high-T_c superconductors, thereby applying the finding that the optimum holeconcentration of h^+ = 0.229 can be linked with the universal fractal constantdelta_1 = 8.72109... of the renormalized Henon map. The transition temperatureobviously increases steeply with a domain structure of ever narrower size,characterized by Fibonacci numbers. With this backing superconductivity aboveroom temperature can be conceived for synthetic sandwich structures of <q>_cless than 2+. For instance, composites of tenorite and cuprite respectivelytenorite and CuI (CuBr, CuCl) onto AuCu alloys are proposed. This specificationis suggested by previously described filamentary superconductivity of 'bulk'CuO_1-x samples. In addition, cesium substitution in the Tl-1223 compound is anoption. A low mean cationic charge allows the development of a frustratednano-sized fractal structure of possible ferroelastic nature deliveringnano-channels for the very fast charge transport, in common for both high-T_csuperconductors and organic inorganic halide perovskite solar materials.

High-Tc Superconductivity: Strong Indication of Filamentary-Chaotic Conductance and Possible Routes to Superconductivity Above Room Temperature