Impedance and cyclic voltammetric studies, were carried out on electrodes of various material, dimension and configuration. The substrate was ferrocene.  This was done with the view to explore the relationship between heterogeneous electron transfer rate constants (ko) of ferrocene and various fractal parameters. It was found that the best relationship was obtained between the magnification factor fm and ko, implying that electrodes behave as cantor sets, and “grooves” in an electrode affect the electron transfer process.