Using a numerical implementation of the ADHMN construction, we compute
the fields and energy densities of a charge three monopole with tetra
hedral symmetry and a charge four monopole with octahedral symmetry. W
e then construct a one parameter family of spectral curves and Nahm da
ta which represent charge four monopoles with tetrahedral symmetry, wh
ich includes the monopole with octahedral symmetry as a special case.
In the moduli space approximation, this family describes a novel kind
of four monopole scattering and we use our numerical scheme to constru
ct the energy density at various times during the motion.