Surface x-ray diffraction has been used to study the growth of thin Cu films on Ni(001). We give direct evidence for the formation of embedded wedges with internal ͕111͖ facets in the film, as recently suggested by Müller et al. [Phys. Rev. Lett. 76, 2358]. The unusual strain distribution within the wedges is determined and provides an explanation to the observed sudden change in growth and film morphology around 20 monolayers. [S0031-9007(97)