  We perform a real space renormalization group analysis to study the one
electron eigenstates and the transmission coefficient across a 3-simplex
fractal lattice of arbitrary size, in the presence of a magnetic field. In
particular, we discuss the existence of extended electronic states and the
influence of the magnetic field on the spectrum of the system. A general
formulation is presented which enables us to deal with both the isotropic and
the anisotropic cases. It is found that in general, the transmission across an
anisotropic fractal is larger than its isotropic counterpart. Additionally, we
point out an extremely interesting correlation between a subset of values of
the external field, and the multiple fixed point cycles of the Hamiltonian
corresponding to the extended eigenstates. A prescription for observing such
correlations is proposed. This aspect may be important in the classification of
the extended states in such deterministic structures.
