The series Advances in Dendritic Macromolecules aims to cover the synthesis and supramolecular chemistry of dendritic or cascade super-molecules as well as their less perfect hyperbranched cousins. In volume 1 of the series, Chapter 1 presents an overview of the current synthetic methodology available through mid-1993 for the preparation of cascade/dendritic macromolecules. Chapter 2 deals with the pioneering work of and by Professor Moore and his group in the construction of stiff dendritic macromolecules based on phenylacetylenes. The preparation and properties of monodisperse aromatic dendrimers by Neenan, Miller, and collaborators are reviewed in Chapter 3. Chapter 4, describes work in the generation of high-spin polyarylmethyl polyradicals. To address one of the serious retrieval and descriptive problems associated with these specific polymers, in Chapter 5, Baker and Young present a systematic nomenclature for cascade (dendritic) polymers.