Three-dimensional islanding is generally assumed to proceed through nucleat
ion and growth. Here we present studies showing the growth of Si1-xGex isla
nds (0.2 < x < 0.6) without nucleation. Rather, a strain-driven growth inst
ability induces a network of elevated cells, where the angle of elevation s
elf-limits when {105} facets form pyramidal islands. These strain-modulated
surfaces may serve as a template for the spatially controlled growth of qu
antum dot ensembles.