Review: The fabrication of quantum wires and quantum dots in III-V semiconductors using self-organization phenomena is reviewed. The Stranski-Krastanov (S-K) mode growth, step-bunching, and strain-induced lateral composition modulation techniques are covered. The Figure shows the vertical stacking of islands that are formed by the alternate S-K mode growth of five cycles of an In(Ga) quantum dot layer and a GaAs spacer layer.