We have observed dynamical diffraction in the [[(02402̅ 4) and [[(04604̅ 6) reflections of the icosahedral quasicrystal AlPdMn in the back-reflection geometry ( θB = 90°). The x-ray fluorescence from the Al and Pd atoms exhibits strong standing wave behavior, similar to that observed in crystalline materials. The data indicate a long-range order of each species of atoms, with the coherent positions attributable to distributions of the Al and Pd, which we compare to a centrosymmetric model. We observe deviations from the model which imply small departures from inversion symmetry along the twofold symmetry axis and from the expected coherent fractions for Al.